The measures of the angles in a triangle are 53⁰,78⁰, and 49⁰. A similar triangle is created by using a dilation with a scale factor of 2. What are the measures of the angles of this triangle?

There is not enough information to answer this question.

Which of the statements is true about the graphed triangles?

They are similar, because the image can be obtained by dilating about the origin with a scale factor of 1/2.

They are similar, because the image can be obtained by dilating about the origin with a scale factor of 2.

They are not similar, because the image can be obtained by dilating about the origin with a scale factor of 2.

They are not similar, because the image can be obtained by dilating about the origin with a scale factor of 1/2.

In triangles TUW and WXT, ∠U and ∠X are congruent. Andre wants to prove that these triangles are similar. Which of the following is a counterexample to show that triangles TUW and WXT are NOT similar?

∠U ≅ ∠X, but ∠UTW is not congruent to ∠XWT

∠U ≅ ∠X, but ∠UWT ≅ ∠XTW and ∠UTW ≅ ∠XWT.

∠U ≅ ∠X, but ∠UWT ≅ ∠UTW and ∠XTW ≅ ∠XWT

∠UWT ≅ ∠UTW, ∠XTW ≅ ∠XWT, but ∠U is not congruent to ∠X.

If triangles MNO and PQR are similar, which of the following must be true? Select all that apply.

∠N ≅ ∠PQR, ∠M ≅ ∠QPR, ∠O ≅ ∠QRP

∠N ≅ ∠QRP, ∠M ≅ ∠QPR, ∠O ≅ ∠PQR

Which is NOT true about similar triangles.

The triangles must have at least one side that is the same length.

The angles in the triangles are congruent to each other.

The sides are proportional to each other.

The angles in each triangle add up to 180 o .

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Mathematics

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8th - 11th Grade

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Practice Problem

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Hard

•

CCSS

HSG.SRT.B.5, HSG.SRT.A.2, 8.G.A.2

+12

Standards-aligned

Barbara White

FREE Resource

100 questions

Show all answers

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Not Similar

Similar. ∆ABC~∆EDF

Similar. ∆ACB~∆EDF

Similar. ∆ABC~∆EFD

Tags

CCSS.HSG.SRT.A.2

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Not Similar

Similar. ∆GHI~∆JKL

Similar. ∆GIH~∆JKL

Similar. ∆GHI~∆JLK

Tags

CCSS.HSG.SRT.A.2

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Not Similar

Similar. ∆MNP~∆RQS

Similar. ∆MNP~∆QRS

Similar. ∆NPM~∆QRS

Tags

CCSS.HSG.SRT.A.2

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Not Similar

Similar. ∆MNP~∆RQS

Similar. ∆MNP~∆QRS

Similar. ∆NPM~∆QRS

Tags

CCSS.HSG.SRT.A.2

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Tags

CCSS.HSG.SRT.A.2

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

Are these triangles similar?
Angles in Triangle 1: 40⁰,60⁰, and 80⁰
Angles in Triangle 2: 40⁰,50⁰, and 90⁰

Yes

There is not enough information to decide.

Tags

CCSS.HSG.SRT.A.2

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

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

Tags

CCSS.HSG.SRT.B.5

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Are these triangles similar?Angles in Triangle 1: 40⁰,60⁰, and 80⁰Angles in Triangle 2: 40⁰,50⁰, and 90⁰

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?

The triangles are similar by...

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Are these triangles similar?
Angles in Triangle 1: 40⁰,60⁰, and 80⁰
Angles in Triangle 2: 40⁰,50⁰, and 90⁰