Quiz about Topic 9 Similar Triangles Pythagorean Thm, Trig

Question 1

Is the dilation an enlargement or a reduction?

Accepted Answer

Enlargement

Answer

No change

Answer

Reduction

Question 2

What is the scale factor?

Accepted Answer

$$2$$

Answer

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

Answer

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

Answer

$$3$$

Question 3

How do I know these triangles are similar?

Remember, it is a bowtie!

Accepted Answer

The triangles are similar by AA similarity.

Answer

The triangles are similar by SSS similarity.

Answer

The triangles are not similar at all.

Answer

The triangles are similar by SAS similarity.

Question 4

How do I know these triangles are similar?

Accepted Answer

I do not know these triangles are similar

Answer

The triangles are similar by SSS similarity.

Answer

The triangles are similar by AA similarity.

Answer

The triangles are similar by SAS similarity.

Question 5

How do I know these triangles are similar?

There are 2 ways

Accepted Answer

The triangles are similar by AA similarity.

Accepted Answer

The triangles are similar by SAS similarity.

Answer

The triangles are similar by SSS similarity.

Answer

The triangles are not similar at all.

Question 6

To find the height of the tree you must create a proportion using your words. Which one would work?

Accepted Answer

$$\frac{man\ height}{man\ shadow}=\frac{tree\ height}{tree\ shadow}$$

Answer

$$\frac{man\ height}{tree\ shadow}=\frac{man\ shadow}{tree\ height}$$

Question 7

Using this proportion:

$$\frac{man\ height}{man\ shadow}=\frac{tree\ height}{tree\ shadow}$$

what matches?

Accepted Answer

$$\frac{5}{7}=\frac{x}{14}$$

Answer

$$\frac{7}{5}=\frac{x}{14}$$

Answer

$$\frac{5}{7}=\frac{14}{x}$$

Question 8

Which proportion is correct?

Using our formula, look at cross products!

Remember, 4 correct answers...but only one of these!

$$\frac{tree\ height}{tree\ shadow}=\ \frac{Person\ height}{Person\ shadow}$$

Accepted Answer

$$\frac{8}{18}=\frac{6}{x}$$

Answer

$$\frac{8}{10}=\frac{6}{x}$$

Answer

$$\frac{6}{8}=\frac{x}{10}$$

Answer

$$\frac{8}{6}=\frac{6}{x}$$

Question 9

Leo uses a 15-foot ladder to paint a section of his house. The base of the ladder is 9 feet from the house.

What is the third side ... How high up the wall is the ladder?

Accepted Answer

12 feet

Answer

24 feet

Answer

144 feet

Answer

6 feet

Topic 9 Similar Triangles Pythagorean Thm, Trig

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