Unit 2 Test Complete Review

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!

1

Consider the triangles shown.

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

1

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!)

1

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

1

Solve for x.
(Click HERE if you need a hint!)

1

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

1

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

1

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!)

1

What geometric construction is shown in the diagram below?
(Click HERE if you need a hint!)

1

What is the justification (reason)?
(Click HERE if you need a hint!)

1

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

1

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

(Click HERE if you need a hint!)

1

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!)

1

Are the triangles are congruent? If so, state how you know. If not, explain why.
(Click HERE if you need a hint!)

1

Are the triangles are congruent? If so, state how you know. If not, explain why.
(Click HERE if you need a hint!)

1

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

1

What type of angle pair is shown?
(Click HERE if you need a hint!)

1

Find m∠B.
(Click HERE if you need a hint!)

1

Solve for x.
(Click HERE if you need a hint!)

1

Determine if the figures are similar.
(Click HERE if you need a hint!)

1

Use a ruler to find the center of dilation.

(Click HERE if you need a hint!)

1

Find the value of the missing length.
(Click HERE if you need a hint!)

1

Determine if the triangles are similar. If so, state how.
(Click HERE if you need a hint!)

1

Determine if the triangles are similar. If so, state how.
(Click HERE if you need a hint!)

1

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!)

1

Select the correct reasons for statements 3 and 4 that would complete the proof.
(Click HERE if you need a hint!)

1

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

Unit 2: Similarity, Congruence & Proofs

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

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!)

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

Solve for x.(Click HERE if you need a hint!)

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

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

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!)

What geometric construction is shown in the diagram below? (Click HERE if you need a hint!)

What is the justification (reason)? (Click HERE if you need a hint!)

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

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

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!)

Are the triangles are congruent? If so, state how you know. If not, explain why. (Click HERE if you need a hint!)

Are the triangles are congruent? If so, state how you know. If not, explain why.(Click HERE if you need a hint!)

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

What type of angle pair is shown? (Click HERE if you need a hint!)

Find m∠B. (Click HERE if you need a hint!)

Solve for x. (Click HERE if you need a hint!)

Determine if the figures are similar.(Click HERE if you need a hint!)

Use a ruler to find the center of dilation. (Click HERE if you need a hint!)

Find the value of the missing length.(Click HERE if you need a hint!)

Determine if the triangles are similar. If so, state how. (Click HERE if you need a hint!)

Determine if the triangles are similar. If so, state how. (Click HERE if you need a hint!)

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!)

Select the correct reasons for statements 3 and 4 that would complete the proof. (Click HERE if you need a hint!)

Solve for x.(Click HERE if you need a hint!)

Consider the triangles shown.

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

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!)

Solve for x.
(Click HERE if you need a hint!)

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!)

What geometric construction is shown in the diagram below?
(Click HERE if you need a hint!)

What is the justification (reason)?
(Click HERE if you need a hint!)

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

(Click HERE if you need a hint!)

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!)

Are the triangles are congruent? If so, state how you know. If not, explain why.
(Click HERE if you need a hint!)

Are the triangles are congruent? If so, state how you know. If not, explain why.
(Click HERE if you need a hint!)

What type of angle pair is shown?
(Click HERE if you need a hint!)

Find m∠B.
(Click HERE if you need a hint!)

Solve for x.
(Click HERE if you need a hint!)

Determine if the figures are similar.
(Click HERE if you need a hint!)

Use a ruler to find the center of dilation.

(Click HERE if you need a hint!)

Find the value of the missing length.
(Click HERE if you need a hint!)

Determine if the triangles are similar. If so, state how.
(Click HERE if you need a hint!)

Determine if the triangles are similar. If so, state how.
(Click HERE if you need a hint!)

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!)

Select the correct reasons for statements 3 and 4 that would complete the proof.
(Click HERE if you need a hint!)

Solve for x.
(Click HERE if you need a hint!)