Chapter 7.1 - 7.3

Question 1

What is a segment that joins two nonconsecutive vertices?

Answer 1

diagonal of a polygon

(p. 360)

Question 2

What theorem states that the sum of the measures of the interior angles of a convex n-gon is (n – 2) · 180°?

Answer 2

Polygon Interior Angles Theorem

(p. 360)

Question 3

The sum of the measures of the interior angles of a quadrilateral is ________.

Answer 3

360°

(p. 361)

Question 4

In an ________________ polygon, all sides are congruent.

Answer 4

equilateral

(p. 361)

Question 5

In an ______________ polygon, all angles in the interior of the polygon are congruent.

Answer 5

Equiangular

(p. 361)

Question 6

A ____________ polygon is a convex polygon that is both equilateral and equiangular.

Answer 6

Regular

(p. 361)

Question 7

TRUE or FALSE: The sum of exterior angle measures does not depend on the number of sides of a polygon.

Answer 7

TRUE

(p. 362)

Question 8

The sum of the measures of the exterior angles of a convex polygon, one angle at each vertex, is ___________.

Answer 8

360°

(p. 362)

Question 9

TRUE or FALSE: If a quadrilateral is a parallelogram, then its opposite sides are congruent.

Answer 9

TRUE

(p. 368)

Question 10

TRUE or FALSE: If a quadrilateral is a parallelogram, then its opposite angles are not congruent.

Answer 10

FALSE

(p. 368)

Question 11

What is a parallelogram?

Answer 11

A quadrilateral with both pairs of opposite sides parallel.

(p. 368)

Question 12

If a quadrilateral is a parallelogram, then its consecutive angles are

(complementary or supplementary).

Answer 12

Supplementary

(p. 369)

Question 13

If a quadrilateral is a parallelogram, then its diagonals __________ each other.

Answer 13

bisect

(p. 369)

Question 14

TRUE or FALSE: If both pairs of opoposite sides of a quadrilateral are congruent, then the quadrilateral is a parallelogram.

Answer 14

TRUE

(p. 376)

Question 15

TRUE or FALSE: If both pairs of opposite angles of a quadrilateral are congruent, then the quadrilateral is a parallelogram.

Answer 15

TRUE

(p. 376)

Question 16

TRUE or FALSE: If one pair of opposite sides of a quadrilateral are congruent and parallel, then the quadrilateral is a parallelogram.

Answer 16

TRUE

(p. 378)

Question 17

TRUE or FALSE: If the diagonals of a quadrilateral bisect each other, then the quadrilateral is a parallelogram.

Answer 17

TRUE

(p. 378)

Question 18

What are the five (5) ways listed in your textbook to prove that a quadrilateral is a parallelogram?

Answer 18

1. Show that both pairs of opposite sides are parallel. (Definition)

2. Show that both pairs of opposite sides are congruent. (Parallelogram Opposite Sides Converse)

3. Show that both pairs of opposite angles are congruent. (Parallelogram Opposite Angles Converse)

4. Show that one pair of opposite sides are congruent and parallel. (Opposite Side Parallel and Congruent Theorem)

5. Show that the diagonals bisect each other. (Parallelogram Diagonals Converse)