Chapter 7

Question 1

what is theorem 7.1?

Answer 1

Polygon interior angles theorem

Question 2

what does the polygon interior angles theorem say?

Answer 2

the sum of the measures of the interior angles of a convex n-gon is (n-2)180.

Question 3

what is theorem 7.2?

Answer 3

Polygon exterior angles theorem

Question 4

what does the polygon exterior angles theorem say?

Answer 4

the sum of the measure of the exterior angles of any convex polygon is 360.

Question 5

equilateral polygon

Answer 5

all sides are congruent

Question 6

equiangular polygon

Answer 6

all angles are congruent

Question 7

regular polygon

Answer 7

both equilateral and equiangular

Question 8

what are consecutive angles?

Answer 8

two angles that share aside.

Question 9

what does a diagonal of a polygon do?

Answer 9

a segment that joins two non-consecutive vertices.

Question 10

what are the properties of a parallelogram?

Answer 10

• opposite sides are congruent
• opposite angles are congruent
• consecutive angles are supplementary
• diagonals bisect each other

Question 11

what is a rhombus?

Answer 11

a parallelogram with four congruent sides.

Question 12

what is a rectangle?

Answer 12

a parallelogram with four right angles.

Question 13

what is a square?

Answer 13

a parallelogram with four right angles & four congruent sides.

Question 14

what are the properties of a rhombus?

Answer 14

• all sides are congruent
• diagonals are perpendicular
• diagonals bisect angles

Question 15

what are the properties of a rectangle?

Answer 15

• all angles are congruent (90)

- diagonals bisect the angles

Question 16

what is a trapezoid?

Answer 16

a quadrilateral with one pair of parallel sides.

Question 17

what is an isosceles trapezoid?

Answer 17

a trapezoid with congruent legs.

Question 18

what is theorem 7.14 & 7.15?

Answer 18

isosceles trapezoid base theorem

Question 19

what does the isosceles trapezoid base theorem say?

Answer 19

a trapezoid is isosceles if and only if each pair of base angles is congruent.

Question 20

what is theorem 7.16?

Answer 20

isosceles trapezoid diagonals theorem

Question 21

what does the isosceles trapezoid diagonals theorem say?

Answer 21

a trapezoid is isosceles if and only if its diagonals are congruent.

Question 22

what is theorem 7.17?

Answer 22

trapezoid midsegment theorem

Question 23

what does the trapezoid midsegment theorem say?

Answer 23

the midsegment of a trapezoid is parallel to each base and its length is one half the sum of the lengths of the bases.

Question 24

what is the formula for a trapezoid’s midsegment?

Answer 24

1/2(base1+base2)

Question 25

what is a kite?

Answer 25

a quadrilateral that has two pairs of consecutive sides, but opposite sides are not congruent.

Question 26

what are the properties of a kite?

Answer 26

- diagonals are perpendicular | - exactly one pair of opposite angles are congruent