Topic Test 8 & 9 Day 2

​Topic Test 8 & 9 Day 2

Multiple Select

Select all options that are true. #30

• $$\cos\ z\ =\ \frac{18}{30}$$

• $$\sin\ z\ =\ \frac{18}{30}$$

• $$\tan\ z\ =\ \frac{18}{24}$$

• $$\tan\ x\ =\frac{30}{18}$$

• $$\cos\ x\ =\ \frac{18}{30}$$

Multiple Choice

How long is side c? #23

• 1

• 2

• $$\sqrt{2}$$

• $$\sqrt{3}$$

Multiple Choice

Solve for x.  You will need to use 45-45-90 and 30-60-90 triangles. #19

• 10√3

• 15

• 5√3

• 15√2

Multiple Select

In attempting to solve for x in the problem at the right, students responded with a variety of equations. Which, if any, of the following equations are correct?

(Select all that apply) #22

• $$\sin49\degree=\frac{x}{12}$$

• $$\cos41\degree=\frac{12}{x}$$

• $$\sin41\degree=\frac{x}{12}$$

• $$\cos49\degree=\frac{12}{x}$$

• $$\sin49=\frac{12}{x}$$

Multiple Choice

The side length of a smaller square is one-third the side length of a larger square. Which of the following statements describes the area of the smaller square? #43

• The area of the smaller square is $$\frac{1}{27}$$ the area of the larger squre.

• The area of the smaller square is $$\frac{1}{6}$$ the area of the larger square.

• The area of the smaller square is $$\frac{1}{9}$$ the area of the larger square.

• The area of the smaller square is $$\frac{1}{3}$$ the area of the larger square.

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Multiple Choice

What sequence of transformations could map triangle ABC to triangle A"B"C"?

• A dilation followed by a rotation.

• A translation followed by a reflection.

• A rotation about the origin followed by a translation.

• A reflection followed by a rotation.

Multiple Choice

What is the transformation from Triangle ABC to Triangle A''B''C''? #27

• Reflection x-axis, then rotation of 180 Degrees

• Reflection over y-axis, then rotation of 90 Degrees

• Rotation of 90 Degrees, then reflection over x-axis

• Rotation of 180 Degrees, then reflection over y-axis