Geometry 7.4-7.5 Review

Properties of Rectangles, Rhombuses, and Squares

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Multiple Choice

A rectangle is a parallelogram with 

• four congruent sides
• four congruent diagonals
• four acute angles
• four congruent angles

Multiple Choice

The diagonals of a rectangle are

• parallel
• congruent
• perpendicular
• not congruent

Multiple Select

Check all that apply. A rectangle has...

• opposite sides that are congruent

• opposite angles that are congruent

• diagonals that bisect each other

• diagonals that are congruent

• diagonals that bisect opposite angles

Multiple Choice

A rhombus is a parallelogram with 

• four congruent sides
• four congruent diagonals
• four acute angles
• four congruent angles

Multiple Choice

The diagonals of a rhombus 

• never intersect
• bisect the opposite angles
• are congruent
• bisect the sides

Multiple Choice

The diagonals of a rhombus are

• parallel
• congruent
• perpendicular
• equal to the side lengths

Multiple Select

Check all that apply. A rhombus has

• opposite sides that are parallel

• diagonals that are congruent

• diagonals that are perpendicular

• diagonals that bisect opposite angles

• opposite angles that are congruent

Multiple Choice

Figure C is a...

• Rectangle
• Square
• Rhombus

Multiple Choice

A square has all the properties of a

• parallelogram
• rectangle
• rhombus
• parallelogram, rectangle, and rhombus

Multiple Choice

The diagonals of a square are

• parallel
• congruent
• perpendicular
• congruent and perpendicular

Multiple Select

Check all that apply. A square has...

• opposite sides that are parallel

• diagonals that are perpendicular and congruent

• diagonals that bisect opposite angles

• consecutive angles that are supplementary

• opposite sides that are congruent

Multiple Choice

Which is NOT a property of a parallelogram?

• Diagonals bisect each other
• Diagonals are congruent
• Both pairs of opposite sides are parallel
• Both pairs of opposite angles are congruent

Multiple Choice

The diagonals of a parallelogram

• are always congruent
• bisect each other
• are never congruent
• parallel

Multiple Choice

Find the perimeter of the rhombus.

• 72 units

• 96 units

• 7 units

• 28 units

Multiple Choice

Find the measure of angle 1

• 54
• 108
• 72
• 36

Multiple Choice

HIJK is a rectangle. Find the value of length of each diagonal.
HJ = 3x + 5  and IK = 5x - 9 

• 7
• 14
• 26
• 7/3

Multiple Choice

Find the measure of angle 2

• 54
• 108
• 72
• 36

Multiple Choice

ABCD is a rectangle.  m∠BCA = 58.  Find m∠BAC. 

• 90
• 58
• 64
• 32

Multiple Choice

What is the value of x?

• 132
• 66
• 114
• 48

Multiple Choice

Find the value of x if m∠CDA = 9x+3 and m∠EDA = 6x+15.

• 39
• 4
• 4.8
• -4

Trapezoids

Another type of quadrilateral that is NOT in the parallelogram family is the trapezoid.

A trapezoid is a type of quadrilateral with only one pair of parallel sides.

Answer: x=12

Fill in the Blanks

Diagonals of a Trapezoid

For most trapezoids, there are no special properties about the diagonals.

Some types of trapezoids have congruent diagonals, which we'll see later.

Multiple Select

Select all of the properties below that are true about ALL trapezoids.

• Pair of parallel sides

• Pair of congruent sides

• Two pairs of supplementary angles

• Two pairs of congruent angles

• Congruent diagonals

Isosceles Trapezoid

• Much like an Isosceles triangle, an isosceles trapezoid has two congruent sides

• The congruent sides will ALWAYS be the non parallel sides

• Look for the congruent markings to know that a trapezoid is isosceles

Isosceles Trapezoid

• An isosceles trapezoid has a few more unique properties...

• "Base" angles are congruent (A and D; B and C)

• Diagonals are congruent

Fill in the Blanks

Multiple Choice

Select the correct values of x and y

• x=56, y=56

• x=56, y=124

• x=124, y=56

• x=124, y=124

Multiple Select

Select all of the properties below that are true about Isosceles trapezoids.

• Pair of parallel sides

• Pair of congruent sides

• Two pairs of supplementary angles

• Two pairs of congruent angles

• Congruent diagonals

​Quiz Tomorrow... Know these Vocabulary Words

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