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Laabri

Unit 2 Test Complete Review

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Last updated over 6 years ago
26 Nsɛmmisa

Unit 2: Similarity, Congruence & Proofs

Your test is tomorrow! Work through the problems below to prepare. There are hints for each problem in case you get stuck. Happy studying!

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Asemmisa {{asɛmmisaAhyɛnsode}}
1.

Consider the triangles shown.

Which can be used to prove the triangles are congruent? (Click HERE if you need a hint!)

Asemmisa {{asɛmmisaAhyɛnsode}}
2.

In the triangles shown, △ABC is dilated by a factor of 2/3 to form △XYZ.

Given that m∠A = 50° and m∠B = 100°, what is m∠Z? (Click HERE if you need a hint!)

Asemmisa {{asɛmmisaAhyɛnsode}}
3.

Select all possible congruence shortcuts that will prove that △DGF ≅ △DEF. (Click HERE if you need a hint!)

Asemmisa {{asɛmmisaAhyɛnsode}}
4.

Solve for x.

(Click HERE if you need a hint!)

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5.

Which transformation does NOT produce congruent figures? (Click HERE if you need a hint!)

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6.

Which of the following cannot be used to prove triangles congruent? (Click HERE if you need a hint!)

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7.

Which diagram shows a correct mathematical construction using only a compass and a straightedge to bisect an angle?

(Click HERE if you need a hint!)

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8.

What geometric construction is shown in the diagram below?

(Click HERE if you need a hint!)

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9.

What is the justification (reason)?

(Click HERE if you need a hint!)

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10.

What does CPCTC stand for? (Click HERE if you need a hint!)

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11.

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

(Click HERE if you need a hint!)

Asemmisa {{asɛmmisaAhyɛnsode}}
12.

In ∆PRQ and ∆XYZ you are given that ∠R ≅ ∠Y and PR ≅ XY, what additional information would be sufficient to prove the two triangles are congruent by AAS?

(Click HERE if you need a hint!)

Asemmisa {{asɛmmisaAhyɛnsode}}
13.

Are the triangles are congruent? If so, state how you know. If not, explain why.

(Click HERE if you need a hint!)

Asemmisa {{asɛmmisaAhyɛnsode}}
14.

Are the triangles are congruent? If so, state how you know. If not, explain why.

(Click HERE if you need a hint!)

Asemmisa {{asɛmmisaAhyɛnsode}}
15.

Select ALL of the statements that are true about parallelograms. (Click HERE if you need a hint!)

Asemmisa {{asɛmmisaAhyɛnsode}}
16.

What type of angle pair is shown?

(Click HERE if you need a hint!)

Asemmisa {{asɛmmisaAhyɛnsode}}
17.

Find m∠B.

(Click HERE if you need a hint!)

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18.

Solve for x.

(Click HERE if you need a hint!)

Asemmisa {{asɛmmisaAhyɛnsode}}
19.

Determine if the figures are similar.

(Click HERE if you need a hint!)

Asemmisa {{asɛmmisaAhyɛnsode}}
20.

Use a ruler to find the center of dilation.

(Click HERE if you need a hint!)

Asemmisa {{asɛmmisaAhyɛnsode}}
21.

Find the value of the missing length.

(Click HERE if you need a hint!)

Asemmisa {{asɛmmisaAhyɛnsode}}
22.

Determine if the triangles are similar. If so, state how.

(Click HERE if you need a hint!)

Asemmisa {{asɛmmisaAhyɛnsode}}
23.

Determine if the triangles are similar. If so, state how.

(Click HERE if you need a hint!)

Asemmisa {{asɛmmisaAhyɛnsode}}
24.

A lampost is 6 feet high and casts an 8 foot shadow. At the same time of day, a flagpole near the lampost casts a 20 foot shadow. Using the properties of similar figures, find the height, H, of the flagpole.

(Click HERE if you need a hint!)

Asemmisa {{asɛmmisaAhyɛnsode}}
25.

Select the correct reasons for statements 3 and 4 that would complete the proof.

(Click HERE if you need a hint!)

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26.

Solve for x.

(Click HERE if you need a hint!)

If you want even more practice, check out the spreadsheet with IXL Topics below:

https://docs.google.com/spreadsheets/d/1W3iaqii-e1qQpZVtoPWg0Ca5TEfQxvVsaIshNVtCeqw/edit?usp=sharing