IM2 Chapter 2 Review

A proportion is a comparison between two ratios. Usually we put an equal sign between them.

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​Proportions

In order to solve proportions, we will use cross multiplication which is something you have already seen.

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​Solving Proportions

We can still cross multiply to give us 8 * x = 4 * 6​ which gives us a nice, one step equation to solve

8x = 24 or x = 3.​

We can use a similar process to solve for one of the four numbers if they are missing.​

Solve For A Variable

Multiple Choice

Solve for X $$\frac{x}{8}=\frac{25}{40}$$  

• 5

• 12.8

• 200

• 480

Multiple Choice

Solve for X $$\frac{x+4}{10}=\frac{3}{5}$$  

Don't forget to distribute 5(x+4)

You will need to solve a two step equation this time

• 2

• 5.2

• 6

• 10

Multiple Choice

Solve the equation for x:

• 17
• 16
• 15
• 14

Multiple Choice

What is the formula for scale factor?

• $$\frac{new}{old}$$

• $$\frac{old}{new}$$

Multiple Choice

A dilation is which of the following: 

• only an enlargement
• only a reduction
• Either an enlargement or a reduction
• Neither an enlargement or a reduction

Multiple Choice

When a dilation has a scale factor greater than one, the dilation is an enlargement.

• True
• False

Multiple Choice

If the scale factor is less than one, the new figure will be

• larger

• smaller

Multiple Choice

What is the scale factor from the small fry to the large fry?

• 1/3

• 48

• 4

• 3

Multiple Choice

What is the scale factor?

• 4
• .25
• 5
• 6

Multiple Choice

If two figures are similar, the corresponding sides are ______________.

• equal

• congruent

• proportional

• none of these

Multiple Choice

If two figures are similar their angles are______.

• proportional

• congruent

• supplementary

• complementary

Solve for x. This process is called indirect measurement. It works for shapes that are proportional, like similar triangles.

Multiple Choice

Solve for X.

• 2 ft
• 3 ft
• 4 ft
• 6 ft

Multiple Choice

Find side length X.

• 30
• 25
• 15
• 40

Multiple Choice

Solve for x. 

• 10
• 18
• 20
• 12

Multiple Choice

• 15
• 13
• 11
• 17

Multiple Choice

If a 42.9 ft tall statue casts a 253.1 ft long shadow then how long is the shadow that a 6.2 ft tall man casts?

• 41.7 ft
• 36.6 ft
• 34.6 ft
• 38.8 ft

Multiple Choice

A power pole 10 m tall casts a shadow 8 meters long, at the same time that a building nearby casts a shadow 14 m long.  How tall is the building?

• 9 m
• 15.2 m
• 12 m
• 17.5 m

Multiple Choice

What are the five ways to prove triangles congruent?

• SSS, ASA, AAS, SAS, HL
• SSS, SSA, HL, AAS, SAS
• SAS, SSA, HL, AAS, SSS
• HL, SAS, SSA, SSS, ASA

Multiple Choice

Which of the following cannot be used to prove triangles are congruent? #2

• HL

• AAA

• SSS

• SAS

Multiple Choice

Which triangle congruence theorem can be used to prove the triangles are congruent?

• SSS
• ASA
• AAS
• SAS

Multiple Choice

• Congruent by ASA
• Congruent by SAS
• Congruent by SSS
• Not Necessarily Congruent

Multiple Choice

What is always the 1st statement in reason column of a proof?

• Prove
• Given
• Reason
• Statement

Multiple Choice

Identify the missing statement or reason

• Reflexive Property

• Definition of Midpoint

• Given

• Vertical Angles Theorem

Multiple Choice

What is the "statement" for step 3 of the proof? 

• ∡EDA≅∡DCB
• ∡AED≅∡BEC
• DE=CE
• ∡AED≅∡CED