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Definition
| Reasoning that is based on patterns that you observe. |
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| A conclusion you reach using inductive reasoning. |
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| An example for which the conjecture is incorrect. |
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Definition
| A location in space with no size. |
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| Collinear points that extends in each direction forever. |
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Definition
| Points and lines that lie in the same plane. |
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Definition
| A flat surface that has no thickness |
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Definition
| Points and lines that lie in the same plane. |
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Definition
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Definition
| A part of a line consisting of two endpoints and all points between them. |
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Definition
| Part of a line with one endpoint and all of the points to one side forever. |
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| The set of points common in both figures. |
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Definition
| An angle that has a measure of 90°. |
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Definition
| An angle that has a measure between 0° and 90°. |
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Definition
| A figure formed by two lines or rays that diverge from the same endpoint. |
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Definition
| A point that divides a segment into two congruent segments. |
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Term
| Segment Addition Postulate |
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Definition
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Term
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Definition
| Two segments with the same length |
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Definition
| Planes that do not intersect. |
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Definition
| Noncoplanar lines that do not intersect and are not parallel. |
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Term
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Definition
| Coplanar lines that do not intersect. |
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Term
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Definition
| Two collinear rays with the same endpoint but with opposite direction. |
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Definition
| An angle that has a measure between 90° and 180°. |
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Definition
| An angle that has a measure of 180°. |
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Definition
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Term
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Definition
| Angles with the same measure. |
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Term
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Definition
| Two lines that intersect to form right angles. |
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Term
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Definition
| A perpendicular line, segment, or ray that is perpendicular to the segment at its midpoint, thereby dividing the segment into two congruent segments. |
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Term
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Definition
| A ray that divides an angle into two congruent coplanar angles. |
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Term
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Definition
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Term
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Definition
| Switching the hypothesis and conclusion of a conditional statement. |
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Term
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Definition
| Negating the hypothesis and conclusion of a conditional statement. |
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Term
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Definition
| Switching and Negating the hypothesis and conclusion of a conditional statement. |
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Term
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Definition
| When the conditional and the converse are true, you can combine them using either iff or if and only if. |
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Term
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Definition
| The process of reasoning logically from given statements to a conclusion. |
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Term
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Definition
| If p → q is a true statement and p is true, then q is true |
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Term
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Definition
| If p → q and q → r are true statements, then p → r is a true statement. |
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Definition
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Definition
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Definition
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Definition
| Two angles whose sides are opposite rays. |
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Term
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Definition
| Two coplanar angles with a common side, a common vertex, and no common interior points. |
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Term
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Definition
| Two angles with a sum of 90. |
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Term
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Definition
| Two angles with a sum of 180. |
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Term
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Definition
| Vertical angles are congruent. |
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Term
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Definition
| A line that intersects two coplanar lines at two distinct points. |
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Term
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Definition
| Angles that lie on the same side of the transversal and in corresponding positions relative to their coplanar lines. |
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Term
| Same-Side Interior Angles |
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Definition
| Interior angles that lie on the same-side of the transversal. |
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Term
| Alternate Interior Angles |
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Definition
| Nonadjacent interior angles that lie on opposite sides of the transversal. |
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Term
| Corresponding Angles Postulate |
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Definition
If a transversal intersects
two parallel lines, then
corresponding angles are
congruent. |
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Term
| Same-Side Interior Angles Theorem |
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Definition
| If a transversal intersects two parallel lines, then alternate interior angles are congruent. |
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Term
| Alternate Interior Angles Theorem |
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Definition
| If a transversal intersects two parallel lines, then same-side interior angles are supplementary. |
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Term
| Converse of Corresponding Angles Postulate |
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Definition
| If corresponding angles are congruent, then a transversal intersects two parallel lines. |
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Term
| Triangle Exterior Angle Theorem |
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Definition
The measure of each exterior
angle of a triangle
equals the sum of the measures of its two remote interior angles. |
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Term
| Triangle Angle Sum Theorem |
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Definition
| The sum of the measures of the angles of a triangle is 180. |
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Term
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Definition
| A triangle with at least 2 congruent sides. |
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Term
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Definition
| A triangle with no congruent sides. |
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Term
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Definition
| A triangle with all sides congruent. |
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Term
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Definition
| A triangle with one obtuse angle. |
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Term
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Definition
| A triangle with one right angle. |
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Term
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Definition
| A triangle with all acute angles. |
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Term
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Definition
| A triangle with all angles congruent. |
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Term
| Converse of Alternate Interior Angles Theorem |
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Definition
| If alternate interior angles are congruent, then a transversal intersects two parallel lines. |
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Term
| Converse of Same-Side Interior Angles Theorem |
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Definition
| If same-side interior angles are supplementary, then a transversal intersects two parallel lines. |
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Term
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Definition
| A closed plane figure with at least three sides. The sides intersect only at their endpoints, and no adjacent sides are collinear. |
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Term
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Definition
| A polygon with no diagonal outside the polygon. |
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Term
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Definition
| A polygon with at least one diagonal outside the polygon. |
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Term
| Polygon Angle Sum Theorem |
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Definition
| The sum of the measures of the angles of an n-gon is (n − 2)180. |
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Term
| Polygon Exterior Angle-Sum Theorem |
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Definition
| The sum of the measures of the exterior angles of a polygon, one at each vertex, is 360. |
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Term
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Definition
| A polygon with all sides congruent. |
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Term
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Definition
| A polygon with all angles congruent. |
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Term
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Definition
| A polygon that is both equilateral and equiangular. |
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Term
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Definition
| Congruent polygons are polygons that have corresponding sides congruent and corresponding angles congruent. |
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Term
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Definition
| If three sides of one triangle are congruent to three sides of another triangle, the triangles are congruent. |
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Term
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Definition
| If two sides and the included angle of one triangle are congruent to the corresponding parts of another triangle, the triangles are congruent. |
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Term
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Definition
| If two angles and the included side of one triangle are congruent to the corresponding parts of another triangle, the triangles are congruent. |
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Term
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Definition
| If two angles and the non-included side of one triangle are congruent to the corresponding parts of another triangle, the triangles are congruent. |
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Term
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Definition
| If the hypotenuse and leg of one right triangle are congruent to the corresponding parts of another right triangle, the right triangles are congruent. |
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Term
| Isosceles Triangle Theorem |
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Definition
| If two sides of a triangle are congruent, then the angles opposite those sides are congruent. |
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Term
| Converse of the Isosceles Triangle Theorem |
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Definition
| If two angles of a triangle are congruent, then the sides opposite the angles are congruent. |
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Term
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Definition
| A segment that joins two midpoints of a triangle. |
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Term
| Triangle Midsegment Theorem |
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Definition
| If a segment joins the midpoints of two sides of a triangle, then the segment is parallel to the third side, and is half its length. |
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Term
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Definition
| A segment joining the midpoint to the vertex in a triangle. |
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Term
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Definition
| The height of a triangle measured from the opposite side to the vertex at 90 degrees. |
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Term
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Definition
| The point of concurrency of the medians in a triangle. |
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Term
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Definition
| The point of concurrency of the altitudes in a triangle. |
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Term
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Definition
| The point of concurrency of the angle bisectors in a triangle. |
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Term
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Definition
| The point of concurrency of the perpendicular bisectors in a triangle. |
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Term
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Definition
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Term
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Definition
| a parallelogram with four congruent sides |
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Term
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Definition
| a parallelogram with four right angles. |
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Term
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Definition
| a quadrilateral with both pairs of opposite sides parallel |
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Term
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Definition
| a quadrilateral with two pairs of adjacent sides congruent and no opposite sides congruent |
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Term
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Definition
| a quadrilateral with exactly one pair of parallel sides |
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Term
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Definition
| a trapezoid whose nonparallel opposite sides are congruent |
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Term
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Definition
| a parallelogram with four congruent sides and four right angles |
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Term
| Area of a Rectangle and Area of a Parallelogram |
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Definition
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Term
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Definition
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Term
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Definition
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Term
| Converse of the Pythagorean Theorem |
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Definition
| If c2=a2+b2then its a right triangle. |
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Term
| 45-45-90 Triangle Theorem |
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Definition
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Term
| 30-60-90 Triangle Theorem |
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Definition
long = short√3
hyp = short x 2 |
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Term
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Definition
| The ratio of the opposite side and the hypotenuse in a right triangle. |
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Term
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Definition
| The ratio of the adjacent side and the hypotenuse in a right triangle. |
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Term
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Definition
| The ratio of the opposite side and the adjacent side in a right triangle. |
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Term
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Definition
| The angle formed from a horizontal line going up. |
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Term
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Definition
| The angle formed from a horizontal line going down. |
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Term
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Definition
| A comparison of two quantities. |
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Term
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Definition
| A statement that two ratios are equal. |
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Term
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Definition
| If two angles of one triangle are congruent to two angles of another triangle, then the triangles are similar. |
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Term
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Definition
| If an angle of one triangle is congruent to an angle of a second triangle, and the sides including the two angles are proportional, then the triangles are similar. |
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Term
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Definition
| If the corresponding sides of two triangles are proportional, then the triangles are similar. |
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Term
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Definition
| Any two positive numbers a and b such that a/x = x/b. |
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Term
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Definition
| A three-dimensional figure whose surfaces are polygons. |
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Term
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Definition
| A segment that is formed by the intersection of two faces. |
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Definition
| A point where three or more edges intersect. |
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