Geometry Toolkit: 7, 8, & 9 Lesson 2022-2023

​Geometry Toolkit: 7, 8, & 9 Lesson

2022-2023

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The sum of the interior angles of a polygon is

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where n is the number of sides. #1

Multiple Choice

What is the sum of the interior angles of this polygon?

$$Sum\ =\ \left(n-2\right)\cdot180$$  #6

• 900

• 720

• 540

• 1080

Multiple Choice

How many sides would an irregular polygon have if the  interior angle sum is $$1800\degree$$  ? #3

• 20 sides

• 21 sides

• 12 sides

• 180 sides

Multiple Choice

Find the value of the variable(s). #4

• x = 88

• x = 176

• x = 90

• x = 174

Multiple Choice

What is the value of x? #5

• 26.25

• 38.75

• 24

• 25.125

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Multiple Choice

The opposite sides of a parallelogram are...#8

• congruent

• perpendicular

• skew

• supplementary

Multiple Select

Choose the quadrilateral(s) for which the statement is true: Both pairs of opposite sides are congruent. #26

(There may be more than one answer!)

• Parallelogram

• Rectangle

• Rhombus

• Square

Fill in the Blank

The figure is a parallelogram.

Solve for x. #9

HINT: SAME-SIDE INTERIOR ANGLES ADD TO EQUAL 180 DEGREES.

Fill in the Blank

Solve for x. #13

Fill in the Blank

Solve for x. #12

Multiple Choice

Is there enough information to determine that this quadrilateral is a parallelogram? #11

• yes

• no

Multiple Choice

Figure B is a... #25

• Rectangle

• Square

• Rhombus

Math Response

If the figure is a rectangle, the value of x is...#21

Type answer here

Correct Answer: 12

Deg^°

Rad

Math Response

ABCD is a rectangle. m∠BCE = 4x-23 and m∠DCE = 5+5x. Find m∠BCE. #22

HINT: RECTANGLE HAS 4 90-DEGREE ANGLES

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Correct Answer: 25

Deg^°

Rad

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Multiple Choice

Figure A is a... #24

• Rectangle

• Square

• Rhombus

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Math Response

Find the perimeter of the rhombus. #20

HINT: ALL SIDES OF A RHOMBUS ARE CONGRUENT

Type answer here

Correct Answer: 96

Deg^°

Rad

Multiple Choice

An isosceles trapezoid has... #29

• congruent bases

• congruent legs

• parallel legs

• all of these

Multiple Choice

Which statement is NOT true for isosceles trapezoids? #30

• Diagonals are congruent

• Each pair of base angles are congruent

• Legs are congruent

• Legs are parallel

Multiple Choice

Find the value of x. #28

• 86

• 94

• 79

• 47

Multiple Choice

#31

• a

• b

• c

• d

Multiple Choice

The Angle-Angle Similarity (AA ~) Theorem states if two angles of one triangle are _______________ to two angles of another triangle, then the triangles are ____________________. #35

• adjacent; equal

• complementary; scalene

• congruent; similar

• supplementary; isosceles

Multiple Choice

Given the diagram at the left as labeled, find the value of x. #36

• 9

• 15

• 12

• 36

Multiple Choice

Find the value of x. #38

• 10

• 35

• 8

• None of these

Multiple Choice

Find the missing length. #39

• 10

• 21

• 35

• 9

Multiple Choice

Does the set of numbers represent a right triangle? #42

20, 25, 15

• Yes

• No

Multiple Choice

State if the three sides lengths form an acute, obtuse, or right triangle: 6 mi, 14 mi, 17 mi #43

• acute

• obtuse

• right

Multiple Choice

If the ramp is 21 feet long and ends 19 feet away from the building, how high (h) is the ramp? #44

• 2.19 ft

• 8.9 ft

• 28.3 ft

Math Response

Find the value of n. #46

Type answer here

Correct Answer: 10

Deg^°

Rad

Math Response

Find the value of m. #47

Type answer here

Correct Answer: 6

Deg^°

Rad

Multiple Choice

Find the length of AB. #52

• 36

• 18

• 6

• 12

Multiple Choice

Find the value of x. #54

• $$3\sqrt{2}$$  

• $$\sqrt{14}$$  

• 4.5

• 3

Multiple Choice

Find the value of x and round to the nearest tenth (1 decimal place). #57

• 46.1

• 4.9

• 16.4

• 26.9

Multiple Choice

Find the value of x. #58

• 4.7

• 9.1

• .05

• 21.6

Multiple Select

Select all options that are true. #59

• $$\cos\ z\ =\ \frac{18}{30}$$

• $$\sin\ z\ =\ \frac{18}{30}$$

• $$\tan\ z\ =\ \frac{18}{24}$$

• $$\tan\ x\ =\frac{30}{18}$$

• $$\cos\ x\ =\ \frac{18}{30}$$

Multiple Choice

Solve for x. #61

• 31.2

• 5.6

• 14.6

• 6.2

Math Response

What is the length of BC? Round to the nearest tenth (1 DECIMAL PLACE). #62

Type answer here

Correct Answer: 14.5

Deg^°

Rad

Multiple Choice

Point Q(-5, -12) is a point on the terminal side of the angle $$\theta$$ . Find the exact value of cosine $$\theta$$ . #64

• $$\frac{5}{13}$$  

• $$-\frac{12}{13}$$  

• $$-\frac{5}{13}$$  

• $$-\frac{13}{5}$$