Using Similarity to Find Indirect Measurements

Practice for Similarity Quiz #2

I will know I am ready for the quiz when I can:

• Find the area of a dilated figure.

• Find missing sides of triangles formed in a mirror problem.

• Find measurements using indirect measurement.

• I can find missing measurements

How does a dilation affect area?

(Remember dilation is the result of multiplying by a scale factor!)

Multiple Choice

What is the Area?

• 100

• 10

• 500

• 44.7

Multiple Choice

When I have the scale factor, how do I use it to find the area?

• Square root

• Square

• Double it

• Nothing

Multiple Choice

• 42

• 63

• 1176

• I don't know

Multiple Choice

What is the first step?

• Find the scale factor

• Multiple the Area

• Add them together

• I don't know

Multiple Choice

What is the first step?

• Find the scale factor

• Multiple the Area

• Add them together

• I don't know

Similar Figures Problems

Multiple Choice

• 16

• 4

• 8

• 20

Multiple Choice

To find the height of a very tall pine tree, you place a mirror on the ground and stand where you can see the top of the pine tree. How tall is the tree?

• 144 feet

• 72 feet

• 36 feet

Multiple Choice

To find the height of a very tall pine tree, you place a mirror on the ground and stand where you can see the top of the pine tree.  How tall is the tree?

• 144 feet
• 72 feet
• 36 feet

How do I find missing measurements in congruent triangles?

(Congruent triangles are also similar. The scale factor is just 1.)

How do I find the height of a very tall object without measuring?

Multiple Choice

• The flagpole is 51 feet tall.

• The flagpole is 141.6 feet tall

• The flagpole is 14.16 feet tall

• The flagpole is 75 feet tall.

Multiple Choice

• 6.25

• 5.5

• 6

• 5.75

Multiple Choice

Find the height of the tree.

• 8 ft

• 12 ft

• 13 ft

• 15 ft

Multiple Choice

Using a proportion, find the height of the tree.

• x = 0.0625 ft.
• 16 ft
• x = 16 ft.

Multiple Choice

• 7

• 112

• 576

• 48

How can I determine if two triangles are congruent when given the coordinates?

Hint: Graph them first!

Here is a more formal way to determine if two triangles are congruent.

Multiple Choice

Examine the graph. Are the triangles congruent?

• Yes, the sides lengths for each triangle are equal.

• No, the angles for each triangle are different.

• Yes, the angles change with side lengths.

• No, the side lengths are different for each triangle.