Tenth Grade (Grade 10) Similar and Congruent Figures Questions for Tests and Worksheets

Grade 10 Similar and Congruent Figures CCSS: HSG-SRT.B.4

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What is the missing reason in step 17?

If two lines are cut by a transversal, and vertical angles are congruent, the two lines are parallel
If two lines are cut by a transversal, and alternate exterior angles are congruent, the two lines are parallel
If two lines are cut by a transversal, and corresponding angles are congruent, the two lines are parallel
If two lines are cut by a transversal, and alternate interior angles are congruent, the two lines are parallel

Grade 10 Similar and Congruent Figures CCSS: HSG-SRT.B.4

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What is the missing reason in step 34?

Binomial Expansion Theorem
Addition Property of Equality
Pythagorean Theorem
Perimeter of a triangle

Grade 10 Similar and Congruent Figures CCSS: HSG-SRT.B.4

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What is the missing reason in step 7?

Given
Angle Addition Postulate
Consecutive Interior Angles Theorem
Sum of the acute angles in a right triangle is 90°

Grade 10 Similar and Congruent Figures CCSS: HSG-SRT.A.3

$Delta DEF$ is an isosceles triangle, and

$m ang D = 68°$ .

$Delta PQR$ is also an isosceles triangle, and

$m ang P = 68°$ . Which of the following is correct?

$Delta DEF \ ~ \ Delta PQR$
$Delta DEF \ ~ \ Delta QRP$
These two triangles are not similar.
These two triangles may or may not be similar, but there is not enough information to be certain.

Grade 10 Similar and Congruent Figures CCSS: HSG-SRT.A.2

A triangle with vertices D, E, and F has the following side lengths:

$DE = EF = 5$ . A triangle with vertices P, Q, and R has the following side lengths:

$PQ = QR = 15$ . These two triangles must be similar.

True
False

Grade 10 Similar and Congruent Figures CCSS: HSG-SRT.A.2

A triangle with vertices E, F, and G has the following angle measures:

$m ang E = 85°$ and

$m ang F = 19°$ . A triangle with vertices J, K, and L has the following angle measures:

$m ang J = 85°$ and

$m ang K = 76°$ . These two triangles must be similar.

True
False

Grade 10 Similar and Congruent Figures CCSS: HSG-SRT.B.5, HSG-SRT.C.8

Marcus is standing 15 ft away from the edge of a cliff, which overlooks the ocean and is 40 ft tall. The cliff is completely vertical, forming a right angle with the land at the top and the water at the bottom. If Marcus is 6.1 ft tall, and a boat sailing away from land just emerges into view beyond the cliff edge, how far is the line of sight distance to the boat? Round the answer to one decimal place.

56.3 ft
106.2 ft
113.4 ft
122.4 ft

Grade 10 Similar and Congruent Figures CCSS: HSG-SRT.B.4

This question is a part of a group with common instructions. View group »

What is the missing reason in step 3?

Reflexive Property of Congruence
Identity Property of Congruence
Reflection Property of Congruence
Given

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Tenth Grade (Grade 10) Similar and Congruent Figures Questions