Chapter 7.4 - 7.5

Question 1

A ___________ is a parallelogram with four congruent sides.

Answer 1

Rhombus

(p. 388)

Question 2

A ____________ is a parallelogram with four right angles.

Answer 2

Rectangle

(p. 388)

Question 3

A ___________ is a parallelogram with four congruent sides and four right angles.

Answer 3

Square

(p. 388)

Question 4

A quadrilateral is a rhombus is and only if it has __________ congruent sides.

Answer 4

four

(p. 388)

Question 5

A quadrilateral is a rectangle is and only if it has four __________ _________.

Answer 5

right angles

(p. 388)

Question 6

A quadrilateral is a ________ if and only if it is a rhombus and a rectangle.

Answer 6

Square

(p. 388)

Question 7

A parallelogram is a rhombus if and only if its diagonals are _____________.

Answer 7

perpendicular

(p. 390)

Question 8

A parallelogram is a rhombus if and only if each diagonal ___________ a pair of ___________ angles.

Answer 8

bisects, opposite

(p. 390)

Question 9

TRUE or FALSE: A parallelogram is a rectangle if and only if its diagonals are congruent.

Answer 9

TRUE

(p. 391)

Question 10

What is a quadrilateral with exactly one pair of parallel sides?

Answer 10

Trapezoid

(p. 398)

Question 11

What are the parallel sides of a trapezoid called?

Answer 11

Bases

(p. 398)

Question 12

What are the nonparallel sides of a trapezoid called?

Answer 12

Legs

(p. 398)

Question 13

If the legs of a trapezoid are congruent, then the trapezoid is an __________________ ________________________.

Answer 13

Isosceles Trapezoid

(p. 398)

Question 14

A trapezoid is isosceles if and only if its diagonals are ____________.

Answer 14

congruent

(p. 399)

Question 15

If a trapezoid is isosceles, then each pair of _______ angles is congruent.

Answer 15

base

(p. 399)

Question 16

TRUE or FALSE: If a trapezoid has a pair of congruent base angles, then it is not an isosceles trapezoid.

Answer 16

FALSE; it is an isosceles trapezoid.

(p. 399)

Question 17

What is the segment that connected the midpoints of a trapezoid’s legs?

Answer 17

the midsegment of a trapezoid

(p. 400)

Question 18

The midsegment of a trapezoid is _____________ to each base, and its length is __________ the sum of the lengths of the base.

Answer 18

parallel, one-half

(p. 400)

Question 19

A ___________ is a parallelogram that has two pairs of consecutive sides, but opposite sides are not congruent.

Answer 19

kite

(p. 401)

Question 20

If a quadrilateral is a kite, then its diagonals are _________________.

Answer 20

perpendicular

(p. 401)

Question 21

TRUE or FALSE: If a quadrilateral is a kite, then exactly one pair of opposite angles are congruent.

Answer 21

TRUE

(p. 401)