Right Triangle Similarity

Similarity in Right Triangles

by Deb Scott

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Objective: Find and Use relationships in similar right triangles.

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Multiple Select

What does it mean when triangles are similar?

More than one correct answer

• corresponding angles are congruent

• corresponding sides are congruent

• corresponding sides are proportional

• I have no clue

Multiple Choice

To find y, which method could we use?

• heartbeat

• boomerang

Multiple Select

What is a possible equation for solving for y?

more than one correct answer

• $$\frac{12}{y\ }=\frac{y}{4}$$

• $$\frac{12}{4}=\frac{y}{x}$$

• $$\frac{4}{y\ }=\frac{y}{12}$$

• $$\frac{x}{4\ }=\frac{12}{x}$$

• y = 48

Multiple Choice

Solve for y. Leave in simplest radical form

• $$\sqrt[]{48}$$  

• $$4\sqrt[]{3}$$  

• $$3\sqrt[]{4}$$  

Multiple Choice

To find x, which method would you use?

• heartbeat

• boomerang

Multiple Select

What is a possible equation for solving for x?

more than one correct answer

• $$\frac{4}{x\ }=\frac{x}{16}$$

• $$\frac{4}{x\ }=\frac{x}{12}$$

• $$\frac{16}{x\ }=\frac{x}{4}$$

• $$\frac{x}{4}=\frac{4}{y}$$

Multiple Choice

Solve for x.

Leave in simplest radical form

• 8

• 10

• 64

• $$4\sqrt[]{3}$$  

Multiple Choice

Find the missing length indicated.

• 60

• 100

• 80

• 20

Multiple Choice

Find the missing length indicated.

• 64

• 12

• 9

• 100

Multiple Choice

• 10
• 12
• 14
• 16

Multiple Choice

Solve for x

• 60
• 52
• 48
• 12

Multiple Choice

• A
• B
• C
• D

Geometric Mean is an average which indicates the central tendency or typical value of a set of numbers by using the product of their values (as opposed to the arithmetic mean which uses their sum).

Solve

Multiple Choice

What is the Geometric Mean between 6 and 30?

• $$6\sqrt{2}$$

• $$5\sqrt{2}$$

• $$6\sqrt{5}$$

Multiple Choice

What is the Geometric Mean between 10 and 20?

• $$10\sqrt{5}$$

• $$10\sqrt{2}$$

• $$10\sqrt{3}$$

Multiple Choice

Solve for x

Leave in simplest radical form

• 6

• $$6\sqrt[]{5}$$  

• $$3\sqrt[]{5}$$  

Multiple Choice

Solve for z

Leave in simplest radical form

• 6

• $$6\sqrt[]{5}$$  

• $$3\sqrt[]{5}$$  

Multiple Choice

Solve for y

Leave in simplest radical form

• 6

• $$6\sqrt[]{5}$$  

• $$3\sqrt[]{5}$$