Geometry Toolkit: 10, 11, & 12 Lesson 2022-2023

​Geometry Toolkit: 10, 11, & 12 Lesson 2022-2023

​"You can go round in circles resolving nothing, or you can step out of the circle and see things as they truly are."

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Multiple Choice

What is the value of x? #1

• A

• B

• C

• D

Fill in the Blank

 Find the degree measure of arc $$PQ$$ . #9

Multiple Choice

Find the value of x. #12

• 15

• 13

• 3

• 6

Multiple Choice

Find the value of x. Remember the measures of 14 and 18 to represent the entire length of the chords. #13

• √512

• √32

• √35

• √128

Math Response

Find the value of x. #19

Type answer here

Correct Answer: 5

Deg^°

Rad

Multiple Choice

Find the value of x. 20

• 12.5

• 8

• 35

• 16

Multiple Choice

Find the measure of angle F. *****REMEMBER TRIANGLE FGH IS AN ISOSCELES TRIANGLE(BASE ANGLES ARE CONGRUENT). ANGLE G IS A SPECIAL ANGLE.***** #14

• 7

• 90

• 45

• 30

Multiple Choice

In the circle, find the measure of angle CAB.

#5

• A

• B

• C

• D

Math Response

What is the value of x? #23

Type answer here

Correct Answer: 25

Deg^°

Rad

Fill in the Blank

Find the measure of KM. #2

When they intersect OUTSIDE the circle

• a is the outside, (a+b) is the whole

• c is the outside, (c+d) is the whole

• outside(whole) = outside(whole)

Math Response

Solve for x. #16

Type answer here

Correct Answer: 2

Deg^°

Rad

Multiple Choice

Find the measure of MN. Assume that lines which appear to be tangent are tangent. #25

• 43

• 42

• 23

• 32

What if a is the outside and the whole?

Multiple Choice

Solve for x. Assume that lines which appear tangent are tangent. #24

• 3

• 4

• 5

• 6

Multiple Choice

What is the equation of the circle? #28

• (x+1)² + (y +1)² = 3

• (x+1)² + (y -1)² = 3

• (x+1)² + (y +1)² = 9

• (x-1)² + (y -1)² = 9

Multiple Choice

A circle has the equation x² + y² - 12x + 8y + 3 = 0. Use completing the square to write the equation in standard form. #29

• (x - 6)² + (y + 4)² = 49

• (x + 4)² + (y - 6)² = 49

• (x - 6)² + (y + 4)² = 55

• x² + y² = 55

Multiple Choice

Determine the center and radius: x² + y² + 14x - 2y = -1. #30

• center= (-7,2) radius= 3

• center= (-7,1) radius= 7

• center= (-4,1) radius= 5

Multiple Choice

Find the arc length. Round to the nearest tenth. DO NOT FORGET YOUR UNITS. #34

• 33.0 yd

• 16.5 ft

• 33.0 ft

• 17.8 yd

Multiple Choice

Find the length of the radius given the arc length of arc AB shown. Round your answer to the nearest tenth. #33

• 53.4 cm

• 154.3 cm

• 24.6 cm

• 12.8 cm

Multiple Choice

Find the area of the shaded region. #4

***TRICK QUESTION: THE SHADED AREA IS NOT 120 DEGREES***

• 67.02

• 33.51

• 21.33

• 134.04

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Multiple Choice

What does the 'a' stand for in the following formula? #36

• area 

• apossum

• altitude

• apothem

Multiple Choice

Find the area of the regular polygon. #37

• 122 ft²

• 27.7 ft²

• 124.7 ft²

• 363.2 ft²

Multiple Choice

A 3-D solid is formed by rotating the rectangle shown at the right about the vertical line. The dimensions of the rectangle are stated in inches. What is the volume of the solid formed by this rotation, in cubic inches? #50

• 45 in³

• 90 in³

• 45π in³

• 90π in³

Multiple Choice

Which definition best matches the term population density? #38

• human beings in general

• number of people in a particular area

• A measurement of people for a specific area

• All the inhabitants of a particular area

Multiple Choice

$$\frac{17,620}{1}=\frac{P}{468},\ cross\ multiply$$  There are approximately 17,620 people per square mile in New York City. If New York City is 468 square miles, approximately how many people live in New York City? #40

• 17,620

• 8,246,160

• 37

• .027

Math Response

Find the volume to the nearest hundredth using 3.14 instead of Pi. #42

Type answer here

Correct Answer: 12.56

Deg^°

Rad

Multiple Choice

Calculate the volume of the pyramid in the picture. Round to the nearest whole number if necessary. #43

• 160 in³

• 960 in³

• 480 in³

• 320 in³

Math Response

Bob has a rectangular prism gift box. What it the volume of bobs gift box? #44

Type answer here

Correct Answer: 240

Deg^°

Rad

Math Response

Find the Volume of the composite figure. #14

Type answer here

Correct Answer: 2112

Deg^°

Rad

Multiple Choice

$$V_{total}=V_{cone}+V_{cylinder}$$  V =? #47 $$V_{total}=\frac{\pi r^2h}{3}+\pi r^2h$$  Remember there are 2 different heights.

• 1,356 m³

• 1,734 m³

• 377 m³

• 590 m³

Multiple Choice

Find the volume of the Sphere. Use 3.14 for pi. #59 $$V=\frac{4\pi r^3}{3}$$  

• 337.3 ft³

• 137.2 ft³

• 274.4 ft³

• 205.8 ft³

Multiple Choice

Find the Surface Area.

S.A.=PH+2lw, where H is 17 cm, P=28 cm, w is 10 cm, and l is 4 cm. #51

• 556 cm²

• 278 cm²

• 680 cm²

• 340 cm²

Multiple Choice

$$S.A.=2\pi rh+2\pi r^2,\ where\ r=1\ and\ h\ is\ 2.$$  Find the surface area of the cylinder with a radius of 1 in. and a height of 2 in. #52

• 12.56 in²

• 6.28 in²

• 39.44 in²

• 18.84 in2

Multiple Choice

Find the surface area of the figure.

Round your answer to the nearest hundredth. (Hint: you'll have to use Pythagorean Theorem to find the slant height.) #54

• 2,400 $$ft^2$$

• 1,200 $$ft^2$$

• 1,560 $$ft^2$$

• 18,000 $$ft^2$$

Math Response

The surface area of a sphere is 804.25 m², find the radius of the sphere to the nearest whole number. #58

Type answer here

Correct Answer: 8

Deg^°

Rad

Multiple Choice

Molly wishes to make a lawn ornament in the form of a solid sphere. The clay used to make the sphere weighs .075 pounds per cubic inch. If the sphere's radius is 4 inches, what is the weight of the sphere, to the nearest pound? #66

• 34

• 20

• 15

• 4