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Geometry Finals
Vocab
59
Mathematics
10th Grade
12/15/2012

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Term
Collinear
Definition
Points that are in a line
Term
Plane
Definition
Is a flat surface or a 2-dimensional object, stretching to infinity in all directions.
Term
Coplanar
Definition
Points that are on the same plane
Term
How many points do you need to make a point?
Definition
Two
Term
To make a plane, you need....
Definition
You need three non-collinear points to make a plane.
Term
If two lines intersect, then they intersect in _ points
Definition
One
Term
If two planes intersect, then they intersect in _ points
Definition
1 line
Term
Segment
Definition
Always two endpoints. Has infinite number of points in between ends of this.
Term
Ray
Definition
One endpoint forever in one direction, the other doesn't go on.
Term
Opposite Rays
Definition
Two collinear rays with the same endpoint.
Term
Skew Lines
Definition
Lines that do not lie in the same plane (non-coplanar) that never intersect.
Term
Angle
Definition
A ____ is formed by two rays and a endpoint. Rays are sides of _____. The end is the vertex of the ______.
Term
Acute
Definition
Angle that is less than 90 degrees
Term
Right angle
Definition
Angle that is exactly 90 degrees
Term
Obtuse Angle
Definition
More than 90 degrees, but less than 180 degrees.
Term
Vertical Angle
Definition
Two angles whose sides are opposite rays.
Term
Adjacent
Definition
Adjacent angles are angles just next to each other. Adjacent angles share a common vertex and a common side, but do not overlap.
Term
Complementary Angles
Definition
Two angles whose measures have a sum of 90 degrees.
Term
Supplementary Angles
Definition
Two angles that add up to 180 altogether.
Term
Corresponding Angles
Definition
Same position on each line.
Term
Parallel Line Properties
Definition
-If a transversal intersects two //
lines⇒corresponding angles are ≅
-If a transversal intersects two //
lines⇒alternate interior angles are ≅
-If a transversal intersects two //
lines⇒alternate interior angles are ≅
-If a transversal intersects two //
lines⇒alternate exterior angles are ≅
-
If a transversal intersects two //
lines⇒same side interior angles are
supplementary.
-If a transversal intersects two //
lines⇒same side exterior angles are
supplementary.
Term
Congruent Polygons
Definition
Have congruent corresponding parts and all angles and sides are congruent.
Term
Isometry
Definition
Shapes are congruent from before to after. No changes.
Term
No Choice Theorem
Definition
Know two angles, and you can assume that the third angle is congruent.
Term
CPCTC
Definition
Corresponding Parts of Congruent Triangles are Congruent.
Term
Isosceles Triangle Theorem
Definition
If two sides of a triangle are congruent, then the angles opposite of those are congruent.
Term
If 2 angles of a triangle are congruent, then the sides opposite are are congruent
Definition
Term
Hypotenuse Leg Theorem
Definition
In a right triangle, if you have a hypotenuse and legs are congruent.
Term
Equiangular
Definition
60 degree angles
Term
Equilateral
Definition
All sides congruent
Term
Isosceles
Definition
At least two sides congruent.
Term
Scalene
Definition
No sides congruent.
Term
Concurrent
Definition
When three or more lines intersect
Term
Point of concurrency
Definition
The point where the three lines intersect.
Term
Median
Definition
Starts at vertex and ends at midpoint of opposite sides. 3 ____ in a triangle.
Term
Altitude
Definition
Starts at vertex and hits opposite sides at right angles. ______ can be outside of triangle.
Term
Angle Bisector
Definition
Starts at vertex and _____ vertex angle.
Term
Perpendicular Bisector
Definition
Does not have to start at vertex. Starts at midpoint of base and makes right angles.
Term
Centroid
Definition
Point of concurrency for median isosceles triangles.
Term
Orthocenter
Definition
All alternate lines meet up at middle of isosceles triangle. For altitudes.
Term
Circumcenter
Definition
Perpendicular bisector point of concurrency.
Term
Incenter
Definition
Angle bisector point of concurrency.
Term
Quadrilateral
Definition
4 sided polygon
Term
Quadrilateral
Definition
4 sided polygon
Term
Parallelogram
Definition
Is a quadrilateral with both pairs of opposite sides parallel.
Term
Rhombus
Definition
Is a parallelogram with 4 congruent sides.
Term
Rectangle
Definition
Is a parallelogram with 4 right angles.
Term
Square
Definition
Is a parallelogram with 4 congruent sides and right angles.
Term
Kite
Definition
Is a quadrilateral with two pairs of adjacent sides congruent and no opposite sides congruent.
Term
Trapezoid
Definition
Is a quadrilateral with exactly one pair of parallel sides.
Term
Isosceles Trapezoid
Definition
Is a ____ whose non-parallel sides are congruent.
Term
Properties of Parallelograms
Definition
-Opposite sides are congruent.
- Opposite angles are congruent.
- Consecutive angles are supplementary.
- One pair of opposite sides are both parallel and congruent.
- Diagonals bisect each other.
Term
Properties of Rhombi
Definition
-All sides congruent.
-Each diagonal bisects opposite angles.
-Diagonals are perpendicular
Term
Properties of Rectangles
Definition
-Opposite sides are congruent.
-Opposite angles are congruent.
-Same sides angles are supplementary.
-Diagonals bisect each other.
-4 right angles
-Diagonals are congruent.
Term
Properties of Squares
Definition
-All sides congruent.
-Each diagonal bisects opposite angles.
-Diagonals are perpendicular
-Opposite sides are congruent.
-Opposite angles are congruent.
-Same side angles are supplementary.
-Diagonals bisect eachother.
-4 right angles
-Diagonals are congruent.
-Opposite sides are congruent.
-Opposite angles are supplementary.
-Consecutive angles are supplementary.
-Diagonals bisect each other.
-One pair of opposite sides are both parallel and congruent.
Term
Properties of Trapezoids
Definition
Only one pair of opposite sides are parallel (bases).
2 angles that share a leg are supplementary.
Term
Isosceles Trapezoid Properties
Definition
Legs are congruent.
Base angles are congruent.
Diagonals are congruent.
Term
Properties of Kites
Definition
-Two pairs of consecutive sides are congruent.
-No pairs of opposite sides are congruent.
-Diagonals are perpendicular.
-One diagonal bisects opposite angles.
-One diagonal divides into two congruent triangles.
-Other diagonal divides into two isosceles triangles.
Term
Polygons are similar if...
Definition
If corresponding angles and sides are proportional
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