← Geometry Chapter 8 Print

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1.
1; opposite; congruent: If a quadrilateral is a kite, then exactly __ pair of ______ angles are _________.

2.
base angles: A trapezoid has 2 pairs of ______.

3.
bases: the parallel sides of a trapezoid

4.
both; congruent: If ____ pairs of opposite angles of a quadrilateral are ______ then the quadrilateral is a parallelogram.

5.
both; congruent: If ____ pairs of opposite sides of a quadrilateral are ______, then the quadrilateral is a parallelogram.

6.
Consecutive Vertices: 2 vertices that are endpoints of the same side

7.
Corollary to Polygon Interior Angles Theorem: Interior Angles of a Quadrilateral: The sum of the measures of the interior angles of a quadrilateral is 360 degrees.

8.
Diagonal of a Polygon: a segment that joins 2 nonconsecutive vertices.

9.
diagonal; opposite: A parallelogram is a rhombus if and only if each _______ bisects a pair of _______ angles.

10.
diagonals: A parallelogram is a rhombus if and only if its ________ are perpendicular.

11.
diagonals: A parallelogram is a rectangle if and only if its _______ are congruent.

12.
diagonals; parallelogram: If the ________ of a quadrilateral bisect each other, then the quadrilateral is a ________.

13.
isosceles: If a trapezoid has a pair of congruent base angles, then it is an ______ trapezoid.

14.
isosceles; congruent: A trapezoid is ______ if and only if its diagonals are _______.

15.
isosceles trapezoid: A trapezoid with congruent legs

16.
Kite: a quadrilateral that has 2 paris of consecutive congruent sides, but opposite sides are not congruent.

17.
legs: The nonparallel sides of a trapezoid

18.
mid segment of a trapezoid (median): the segment that connects the midpoints of a trapezoid's legs

19.
Midsegment Theorem for Trapezoids: The midsegment of a trapezoid is parallel to each base and its length is 1/2 the sum of the lengths of the bases.

20.
opposite: If a quadrilateral is a parallelogram, then its ________ sides are congruent.

21.
opposite; congruent: If a quadrilateral is a parallelogram, then its ______ angles are _______.

22.
opposite; congruent; parallel: If one pair of ________ sides of a quadrilateral are _______ and ________, then the quadrilateral is a parallelogram.

23.
pair; congruent: If a trapezoid is isosceles, then each _____ of base angles is _______.

24.
Parallelogram: A quadrilateral with both pairs of opposite sides parallel.

25.
parallelogram; bisect: If a quadrilateral is a __________, then its diagonals _____ each other.

26.
perpendicular: If a quadrilateral is a kite, then its diagonals are ________.

27.
Polygon Exterior Angles Theorem: m exterior angles of n-gon=360 degrees

(m angle 1+m angle 2+m angle 3....)

(m angle 1+m angle 2+m angle 3....)

28.
Polygon Exterior angles Theorem: The sum of the measures of the exterior angles of a convex polygon, one angle at each vertex, is 360 degrees.

29.
Polygon Interior Angles Theorem: The sum of the measures of the interior angles of a convex n-gon is (n-2)*180degrees.

30.
Polygon Interior Angles Theorem: m of n-gon=(n-2)*180degrees

31.
Rectangle: a parallelogram with 4 right angles.

32.
Rectangle Corollary: A quadrilateral is a rectangle if and only if it has 4 right angles.

33.
Rhombus Corollary: A quadrilateral is a rhombus if and only if it has 4 congruent sides.

34.
Rhomus: a parallelogram with 2 congruent sides.

35.
Show both pairs of opposite sides are parallel; show both pairs of opposite sides are congruent; show both pairs of opposite angles are congruent; show 1 pair of sides are congruent and parallel; show the diagonals bisect each other: Ways to Prove a Quadrilateral is a Parallelogram

36.
Square: a parallelogram with 4 congruent sides and 4 right angles.

37.
Square Corollary: A quadrilateral is a square if and only if it is a rhombus and a rectangle.

38.
supplementary: If a quadrilateral is a parallelogram, then its consecutive angles are _____________.

39.
trapezoid: a quadrilateral with exactly 1 pair of parallel sides.

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