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Geometry | Unit 3 | Lesson 9: Conditions for Triangle Similarity | Practice Problems

Authored by Illustrative Mathematics

Mathematics

6th Grade

Geometry | Unit 3 | Lesson 9: Conditions for Triangle Similarity | Practice Problems
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8 questions

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1.

FILL IN THE BLANK QUESTION

30 sec • 1 pt

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What is the length of segment \(DF\)? Description: Triangle A B C and D E F. Measurements are as follows: A B is 8, A C is 6, angle A is 68 degrees, angle B is 44 degrees, D E is 18, angle D is 68 degrees,and angle F is 44 degrees.

2.

MULTIPLE SELECT QUESTION

30 sec • 1 pt

In triangle \(ABC\), angle \(A\) is 35º and angle \(B\) is 20º. Select all triangles which are similar to triangle \(ABC\).

triangle \(DEF\) where angle \(D\) is 35º and angle \(E\) is 20º

triangle \(GHI\) where angle \(G\) is 35º and angle \(I\) is 30º

triangle \(JKL\) where angle \(J\) is 35º and angle \(L\) is 125º

triangle \(MNO\) where angle \(N\) is 20º and angle \(O\) is 125º

triangle \(PQR\) where angle \(Q\) is 20º and angle \(R\) is 30º

3.

OPEN ENDED QUESTION

3 mins • 1 pt

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Decide whether triangles \(ABC\) and \(DEC\) are similar. Explain or show your reasoning.

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

Lin is trying to convince Andre that all circles are similar. Help her write a valid justification for why all circles are similar.

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

Must these parallelograms be similar? Explain your reasoning.

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6.

OPEN ENDED QUESTION

3 mins • 1 pt

Determine if each statement must be true, could possibly be true, or definitely can't be true. Explain or show your reasoning.

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7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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Quadrilaterals \(Q\) and \(P\) are similar. What is the scale factor of the dilation that takes \(P\) to \(Q\)?

\(\frac35\)

\(\frac45\)

\(\frac54\)

\(\frac53\)

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