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Honors Geometry Chapter 3 Quiz B
Vocabulary, Theorems, Postulates, and Corollaries
26
Mathematics
8th Grade
10/17/2010

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Cards

Term
Sum of angles in a triangle (Theorem)
Definition
The sum of the measures of the interior angles of a triangle is 180
Term
Auxiliary line
Definition
a line that is added to a diagram to help in a proof
Term
Draw a line through a point parallel to another line (Reason)
Definition
Through a point outside a line, there is exactly one line through the point that is parallel to the given line.
Term
Corollary
Definition
a statement that can be proven easily from a theorem
Term
Third angle is congruent since 2 angles are congruent (Corollary)
Definition
If angles of one triangle are congruent to two angles of a second triangle, then the third angle is also congruent.
Term
Angle in equiangular triangle = 60 (Corollary)
Definition
Each angle of an equiangular triangle is 60.
Term
# of right or obtuse angles possible in a triangle (Corollary)
Definition
In a triangle, there can be at most one right angle or one obtuse angle.
Term
Acute angles of a right triangle (Corollary)
Definition
The acute angles of a right angle are complementary.
Term
Measure of an exterior angle (Corollary)
Definition
The sum of the measures of the 2 remote angles is the same as the measure of the exterior angle.
Term
Triangle
Definition
a figure formed by three segments joining three noncollinear points
Term
Vertex
Definition
Points of a figure; intersection of two noncollinear segments
Term
Sides
Definition
Segments of a figure
Term
Scalene triangle
Definition
no sides congruent
Term
Isosceles triangle
Definition
At least 2 sides congruent
Term
Equilateral triangle
Definition
all sides congruent
Term
Acute triangle
Definition
Three acute angles
Term
Obtuse triangle
Definition
one obtuse angle
Term
Right triangle
Definition
1 right angle
Term
Equiangular triangle
Definition
all angles congruent, angle=60
Term
Polygon
Definition
1) Formed by sides
2) Each segment intersects exactly two other segments, one at each endpoint
3) No two segments with common endpoint are collinear
Term
Convex polygon
Definition
polygon such that no line containing a side of the polygon contains a point in the interior of the polygon
Term
Diagonal
Definition
a segment joining two nonconsecutive vertices in a polygon
Term
The sum of the measures of a polygon (Theorem)
Definition
The sum of the measures of the angles of a convex polygon with n sides is 180(n-2)
Term
Sum of exterior angles (Theorem)
Definition
The sum of the measures of the exterior angles of any convex polygon, one angle at each vertex, is 360.
Term
Regular polygon
Definition
A polygon that is both equiangular and equilateral
Term
Practice Problem: How many sides are in a regular polygon whose interior angle is 165.
Definition
24 sides
180-165=15, 360/15=24
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