Geometry 7.4-7.5 Review

Presentation

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Mathematics

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8th - 12th Grade

•

Practice Problem

•

Medium

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CCSS

HSG.CO.C.11, 5.G.B.4, 3.MD.D.8

Standards-aligned

Abby Hanger

Used 2+ times

FREE Resource

15 Slides • 25 Questions

Properties of Rectangles, Rhombuses, and Squares

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

108

Multiple Choice

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

7/3

Multiple Choice

Find the measure of angle 2

108

Multiple Choice

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

Multiple Choice

What is the value of x?

132

114

Multiple Choice

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

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

Solve for x in the diagram.

x =

Type answer...

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

Find

$m\angle A$ . $m\angle A=$

Type answer...

\degree

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

Properties of Rectangles, Rhombuses, and Squares

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