Chapter 6.5: Special Parallelograms

Question 1

Rhombus

Answer 1

is a parallelogram that has all four sides congruent.

Question 2

Rectangle

Answer 2

is a parallelogram that has four right angles.

Question 3

Square

Answer 3

is a parallelogram that is both a rhombus and a rectangle.

Question 4

Thm. 6.12

Answer 4

a parallelogram s a rhombus if and only if its diagonals are perpendicular.

Question 5

Thm. 6.13

Answer 5

a parallelogram is a rhombus if and only if each diagonal bisects a pair of opposite angles.

Question 6

Thm. 6.14

Answer 6

a parallelogram is a rectangle if and only if its diagonals are congruent.

Question 7

Thm. 6.15

Answer 7

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

Question 8

Thm. 6.16

Answer 8

a quadrilateral is a rectangle if and only if it has four right angles.