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Chapter 5: Q8 (page 187)

Copy the chart. Then place check marks in the appropriate spaces.

Short Answer

Expert verified

Property

Parallelogram

Rectangle

Rhombus

Square

A diag. bisects two ∠s

yes

yes

Step by step solution

01

Step 1. Description of step.

A parallelogram is a quadrilateral whose diagonals bisect each other and need not be perpendicular.

A rectangle is a special type of parallelogram in which opposite sides are parallel and the interior angles are right angles. Diagonals of a rectangle are equal and bisect each other.

02

Step 2. Description of step.

Rhombus is a special type of parallelogram whose opposite sides are parallel and all the four sides are equal in length. The diagonal of a rhombus bisect two angles.

Square is a type of parallelogram whose opposite sides are congruent; all the sides are equal in length and the interior angles are right angles. The diagonal of a square bisect two angles.

03

Step 3. Description of step.

In rhombus and square, diagonal bisect two angles. Therefore,

Property

Parallelogram

Rectangle

Rhombus

Square

A diag. bisects two∠s

yes

yes

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Most popular questions from this chapter

Study the markings on each figure and decide whether ABCD must be a parallelogram. If the answer is yes, state the definition or theorem that applies.

For the following figure, if OE=4and WE=8, name two segments congruent to WE¯.

For the following figure, if RE=EWthen name all angles congruent to ∠ERW.

M, N and T are the midpoints of the sides of ΔXYZ.

If XY=k, thenTN=?¯

Quadrilateral ABCD is a parallelogram. Name the principal theorem or definition that justifies the statement.

AD¯∥BC¯
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