Quiz about Geometry Q3 IA Mixed Review

Question 1

Line b is the image of line a after a dilation. The equation of line b is $$y=-\frac{7}{6}x+1$$ . Which of the following could be the equation of a?

Accepted Answer

$$y-2=-\frac{7}{6}(x+6)$$

Answer

$$y-3=\frac{7}{6}(x+12)$$

Answer

$$y=\frac{6}{7}x+1$$

Answer

$$y=-\frac{6}{7}x+3$$

Question 2

AB is the image of CD after a dilation. The endpoints of AB are $$A\left(-1,\ 1\right)$$ and $$B\left(-9,\ 12\right)$$ and the endpoints of CD are $$C\left(\frac{1}{3},-\frac{1}{3}\right)$$ and $$D\left(-3,\ 4\right)$$ . What is the scale factor that would map the pre-image onto the image?

Accepted Answer

$$-3$$

Answer

$$-\frac{1}{9}$$

Answer

$$-\frac{1}{3}$$

Answer

$$-9$$

Question 3

In the diagram above of $$\Delta GBM$$ and $$\Delta HBL$$ , $$LH\parallel GM$$ . In writing a proof, based on the given information above which postulate would prove ?

Accepted Answer

AA

Answer

SAS

Answer

SSS

Answer

ASA

Question 4

What is the $$m\angle F?$$

Accepted Answer

$$28\degree$$

Answer

$$30\degree$$

Answer

$$54\degree$$

Answer

$$72\degree$$

Question 5

Question 5.

Accepted Answer

12

Answer

14

Answer

16

Answer

18

Question 6

Question 6.

Accepted Answer

120

Answer

20

Answer

100

Answer

240

Question 7

In the figure below, $$AE\parallel CD$$ and segment AD intersects segment CE at B. What is the length of CE?

Accepted Answer

12

Answer

4

Answer

8

Answer

16

Question 8

$$\Delta ABC\sim\Delta FED\ and\ AB=6\ in,\ BC=8in,\ CA=10in,\ $$ and the perimeter of $$\Delta FED=36in.$$ What is the sum of ED and DF?

Accepted Answer

27

Answer

12

Answer

15

Answer

24

Question 9

A larger tree is to the left of a smaller tree. The smaller tree casts a shadow of 15 feet and is 6 feet tall. The larger tree is 20 feet tall and the shadows of both trees meet at the same point. What is the length of the larger tree's shadow?

Accepted Answer

50 feet

Answer

15 feet

Answer

35 feet

Answer

100 feet

Question 10

The area of $$\Delta LMN$$ is $$200\ ft^2$$ and the area of $$\Delta XYZ$$ is $$1600ft^2$$ . The length of LM is $$10ft.$$ Determine the length of XY to the nearest tenth.

Accepted Answer

28.3 ft

Answer

2.83 ft

Answer

100.0 ft

Answer

800 ft

Question 11

In the right triangle ACD, B is not graphed such that CB is an altitude. What are the coordinates of B? What is the slope of BC?

Accepted Answer

(-5, 0); m=4

Answer

(0, -5); m=4

Answer

(0, -5); m=-4

Answer

(-5, 0); m=-4

Question 12

If the legs of an isosceles right triangle is 3, what is the length of the hypotenuse?

Accepted Answer

$$3\ \sqrt[]{2}$$

Answer

3

Answer

6

Answer

$$3\ \sqrt[]{6}$$

Question 13

In the triangle ACD, $$m\angle CBA=90\degree,\ m\angle CBD=90\degree,\ and\ BD\cong BC.$$ If $$BD=5,$$ what is the length of CD?

Accepted Answer

$$5\ \sqrt[]{2}$$

Answer

$$2\ \sqrt[]{5}$$

Answer

$$5$$

Answer

$$25\ \sqrt[]{2}$$

Question 14

In the triangle ACD, $$m\angle CBA=90\degree,\ m\angle CBD=90\degree,\ and\ BD\cong BC.$$ If $$BD=5\ and\ AD=17,$$ what is the length of AC?

Accepted Answer

$$13$$

Answer

$$12$$

Answer

$$84.5$$

Answer

$$169$$

Question 15

In the triangle ACD, $$m\angle ACD=90\degree,\ AE=2cm,\ AD=\ 10\ cm$$ , and CE is an altitude. What is the length of the altitude?

Accepted Answer

4

Answer

6

Answer

8

Answer

100

Question 16

In the triangle CBA, $$m\angle CBA=90\degree,\ m\angle CAB=30\degree,\ and\ AB=3\ \sqrt[]{3}$$ What is the length of the CB and CA?

Accepted Answer

2 and 4

Answer

3 and 6

Answer

$$\sqrt[]{3}\ and\ 2\ \sqrt[]{3}$$

Answer

6 and 9

Question 17

Question 17.

Accepted Answer

$$\sqrt[]{6}$$

Answer

1

Answer

$$\frac{\sqrt[]{3}}{2}$$

Answer

2

Question 18

Question 18.

Accepted Answer

$$\cos\ A\ =\ \sin D$$

Answer

$$\sin A=\cos\ C$$

Answer

$$\sin D=\cos\ F$$

Answer

$$\cos\ D=\sin F$$

Question 19

Question 19.

Accepted Answer

$$\frac{8\ \sqrt[]{3}}{3}$$

Answer

$$\frac{4\ \sqrt[]{3}}{3}$$

Answer

$$\frac{16\ \sqrt[]{3}}{3}$$

Answer

$$16$$

Question 20

In the diagram of $$\Delta CDE$$ where FD is an altitude drawn to the hypotenuse CE. If $$CE=20\ and\ CF=4,$$ what is the length of DF in simplest radical form?

Accepted Answer

8

Answer

$$4\ \sqrt[]{5}$$

Answer

12

Answer

$$16\sqrt[]{5}$$

Question 21

Question 21.

Accepted Answer

$$67.4\degree$$

Answer

$$22.6\degree$$

Answer

$$42.7\degree$$

Answer

$$47.3\degree$$

Question 22

In the right triangle RQW, approximately what is the value of RQ - WQ? (Figure not shown to scale)

Accepted Answer

3

Answer

8

Answer

9

Answer

12

Question 23

The angle of elevation from a rock on the ground to the top of a tree is $$38\degree.$$ If the rock is 20 feet from the base of the grid, what is the height of the tree to the nearest tenth?

Accepted Answer

15.6 feet

Answer

12.5 feet

Answer

18.2 feet

Answer

21.3 feet

Question 24

In the diagram shown of $$\Delta ABD,$$ where angle B is a right angle. Determine the length of DC to the nearest whole number.

Accepted Answer

73 units

Answer

42 units

Answer

53 units

Answer

101 units

Question 25

In the triangle CBA, $$m\angle CBA=90\degree,\ m\angle CAB=60\degree,\ and\ AB=3\ \sqrt[]{3}$$ What is the length of the CB and CA?

Accepted Answer

$$9\ and\ 6\ \sqrt[]{3}$$

Answer

$$3\ and\ 3\ \sqrt[]{3}$$

Answer

$$\sqrt[]{3}\ and\ 2\ \sqrt[]{3}$$

Answer

6 and 9

Question 26

The $$m\angle A=\frac{12\pi}{5}.$$ Convert the angle to degrees.

Accepted Answer

432

Answer

2.4

Answer

7.54

Answer

252

Question 27

The number of radians in a $$1080\degree$$ angle can be written as $$a\pi$$ , where a is a constant. What is the value of a?

Accepted Answer

$$6$$

Answer

$$\frac{1}{6}$$

Answer

$$3$$

Answer

$$10$$

Question 28

Identify the point on the unit circle that corresponds with an angle of $$300\degree.$$

Accepted Answer

$$\left(\frac{1}{2},\ -\frac{\sqrt[]{3}}{2}\right)$$

Answer

$$\left(\sqrt[]{3},\ -\frac{\sqrt[]{3}}{3}\right)$$

Answer

$$\left(-\frac{\sqrt[]{3}}{2},\ \frac{1}{2}\right)$$

Answer

$$\left(\frac{1}{2},\ -\sqrt[]{3}\right)$$

Question 29

Which of the following is equivalent to $$90\degree?$$

Accepted Answer

$$\frac{\pi}{2}$$

Answer

$$\pi$$

Answer

$$\frac{3\pi}{2}$$

Answer

$$\frac{5\pi}{4}$$

Question 30

Determine the exact value of $$\sin\left(180\degree\right)$$

Accepted Answer

0

Answer

-1

Answer

1

Answer

Undefined

Question 31

The $$\sin\ A=\frac{\sqrt[]{2}}{2}$$ and is in the first quadrant. What is the value of $$ an\ A?$$

Accepted Answer

$$1$$

Answer

$$0$$

Answer

$$-\frac{\sqrt[]{2}}{2}$$

Answer

$$-1$$

Question 32

Evaluate $$\cos\left(\frac{5\pi}{3}\right)$$ .

Accepted Answer

$$\frac{1}{2}$$

Answer

$$-\frac{1}{2}$$

Answer

$$\frac{\sqrt[]{3}}{2}$$

Answer

$$-\frac{\sqrt[]{3}}{2}$$

Question 33

Determine the exact value of $$\cos\left(2\pi\right)$$ .

Accepted Answer

$$1$$

Answer

$$0$$

Answer

$$-1$$

Answer

Undefined

Question 34

What is the value of $$ an\left(\frac{7\pi}{6} ight)?$$

Accepted Answer

$$\frac{\sqrt[]{3}}{3}$$

Answer

$$-\sqrt[]{3}$$

Answer

$$-\frac{\sqrt[]{3}}{3}$$

Answer

$$\sqrt[]{3}$$

Question 35

Determine the reference angle of $$240\degree$$ .

Accepted Answer

$$60\degree$$

Answer

$$30\degree$$

Answer

$$45\degree$$

Answer

N/A

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