Quiz about Units 8, 6, & 7 Potpourri Exam

Question 1

Consider the triangle shown. Find the missing length.

Accepted Answer

6

Answer

5

Answer

7

Answer

8

Question 2

Is the following statement always, sometimes, or never true?

"Two triangles with different side lengths are similar figures"

Accepted Answer

Sometimes

Answer

Always

Answer

Never

Question 3

Are the following statements always, sometimes, or never true? b. Two triangles with different side lengths are congruent figures.

Accepted Answer

Never

Answer

Always

Answer

Sometimes

Question 4

Is the following statements always, sometimes, or never true?

"Two circles with different radii are similar figures"

Accepted Answer

Always

Answer

Sometimes

Answer

Never

Question 5

The image of a basketball (shown to the left) was scaled to produce the image in Figure 2 (to the right). This scaling represents:

Accepted Answer

a reduction

Answer

an enlargement

Question 6

If triangle ABC is dilated about point A with a scale factor of $$\frac{1}{2}$$ , what is the slope of line segment B'C'?

Accepted Answer

The slope of line segment B'C' is the same as the slope of BC, which is $$\frac{2}{-3}$$ .

Answer

The slope of line segment B'C' is undefined.

Answer

The slope of line segment B'C' is 0.

Answer

The slope of line segment B'C' is 1.

Question 7

If triangle ABC is dilated about point B with a scale factor of 2, what is the slope of line segment A'B'?

Accepted Answer

-2/3

Answer

0

Answer

3/-2

Answer

undefined

Question 8

Write the equation of the circle shown.

Accepted Answer

$$(x+3)^2+(y+2)^2=25$$

Answer

$$(x-3)^2+(y+2)^2=25$$

Answer

$$(x + 3)^2 + (y - 2)^2 = 16$$

Answer

$$(x + 3)^2 + (y + 2)^2 = 16$$

Question 9

Write the equation of the circle shown.

Accepted Answer

$$(x-3)^2+(y+4)^2=20$$

Answer

$$(x-3)^2+(y+2)^2=20$$

Answer

$$(x + 3)^2 + (y - 2)^2 = 16$$

Answer

$$(x + 3)^2 + (y + 2)^2 = 16$$

Question 10

Write an equation of a circle that is centered at the origin and has a diameter of 18.

Accepted Answer

$$x^2 + y^2 = 81$$

Answer

$$x^2 + y^2 = 36$$

Answer

$$x^2 + y^2 = 18$$

Answer

$$x^2 + y^2 = 9$$

Question 11

Consider the circle given by $$(x - 3)^2 + (y + 4)^2 = 16$$ . In which quadrant is the center of the circle?

Accepted Answer

Quadrant IV

Answer

Quadrant I

Answer

Quadrant II

Answer

Quadrant III

Question 12

Consider the circle given by $$(x - 3)^2 + (y + 4)^2 = 16$$ . What is the radius of the circle?

Accepted Answer

4

Answer

2

Answer

3

Answer

5

Question 13

Is (-1, -4) a point inside, on, or outside the circle given by $$(x + 3)^2 + (y - 1)^2 = 25$$ ?

Accepted Answer

Outside the circle

Answer

Inside the circle

Answer

On the circle

Question 14

Is (0, 0) a point inside, on, or outside the circle given by $$(x - 2)^2 + (y - 3)^2 = 16$$ ?

Accepted Answer

Inside the circle

Answer

On the circle

Answer

Outside the circle

Question 15

A circle has an area of 84 square inches. Find the radius of the circle, to the nearest hundredth.

Accepted Answer

5.17 inches

Answer

4.61 inches

Answer

5.18 inches

Answer

5.19 inches

Question 16

A circle has an area of 100 square centimeters. Find the radius of the circle, to the nearest hundredth.

Accepted Answer

5.64 cm

Answer

5.65 cm

Answer

5.66 cm

Answer

5.67 cm

Question 17

A circle has a circumference of 44 mm. Find the radius of the circle, to the nearest hundredth.

Accepted Answer

7.00 mm

Answer

6.99 mm

Answer

7.01 mm

Answer

7.02 mm

Question 18

A circle has a circumference of 18 inches. Find the radius of the circle, to the nearest hundredth.

Accepted Answer

2.86 inches

Answer

2.87 inches

Answer

2.85 inches

Answer

2.84 inches

Question 19

What is the measure of x?

Accepted Answer

9

Answer

12

Answer

15

Answer

6

Question 20

To measure the distance across a pond, a surveyor locates points A, B, C, D, and E as shown.  What is AB to the nearest meter?

Accepted Answer

15

Answer

10

Answer

12

Answer

18

Question 21

Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar.

Accepted Answer

SSS

Answer

AA

Answer

SAS

Answer

Not similar

Question 22

Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar.

Accepted Answer

AA

Answer

SSS

Answer

SAS

Answer

no similar

Question 23

Determine whether the triangles are similar by AA~, SSS~, SAS~, or not similar.

Accepted Answer

SAS

Answer

SSS

Answer

AA

Answer

not similar

Question 24

Are the following similar? Why or why not?

Accepted Answer

No, the sides are 2 times larger, but the width is the same.

Answer

Yes, because the corresponding angles are congruent.

Answer

No, the numbers are even

Question 25

The scale drawing car length is 3 cm. If the scale is 1 cm:4 ft, what is the actual car length?

Accepted Answer

12 feet

Answer

16 feet

Answer

10 feet

Answer

4 feet

Question 26

The distance between two cities on a map is 4.125 inches. Find the actual distance if the scale on the map is 2 inches = 40 miles.

Accepted Answer

82.5 miles

Answer

165 miles

Answer

50 miles

Answer

41.25 miles

Question 27

What is the Scale Factor from ABCD (original) to MNOP (new)?

Accepted Answer

2/3

Answer

3/2

Answer

2

Answer

3

Question 28

Find x.

Accepted Answer

$$10\sqrt{3}$$

Answer

10

Answer

$$10\sqrt{2}$$

Answer

20

Question 29

Find a.

Accepted Answer

12

Answer

24

Answer

$$24\sqrt{3}$$

Answer

16

Units 8, 6, & 7 Potpourri Exam

53 questions

1. Consider the triangle shown. Explain how you know the given triangle is a 45°, 45°, 90° triangle.

Consider the triangle shown. Find the missing length.

Consider the triangle shown. Which of the following explains how you know the given triangle is a 45°, 45°, 90° triangle?

Consider the triangle shown. b. Find the length of the hypotenuse.

The hypotenuse of a 45°, 45°, 90° triangle has a length of 20 centimeters. Find the length of a leg of the triangle.

The hypotenuse of a 45°, 45°, 90° triangle has a length of 68 centimeters. Find the length of a leg of the triangle.

Find the value of x.

Find the value of x.

Which is equivalent to: √48?

Which is equivalent to 32/√2?

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