Unit 2, Lesson 9

Conditions for Triangle Similarity

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Integrated Math 2

Practice

Problem 1

Student Task Statement

What is the length of segment ?

Practice

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Problem 2

Student Task Statement

In triangle , angle is 35º and angle is 20º. Select all triangles that are similar to triangle .

triangle where angle is 35º and angle is 20º

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Problem 3

Student Task Statement

Decide whether triangles and are similar. Explain or show your reasoning.

<p><strong>Triangles A B C and D E C. Angle C A B labeled 36, angle A B C labeled 21. Angle C D E labeled 36, angle D C E labeled 123.</strong></p>

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Problem 4

ForLesson 8: Are They All Similar?

Student Task Statement

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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Problem 5

ForLesson 8: Are They All Similar?

Student Task Statement

Must these parallelograms be similar? Explain your reasoning.

<p>Quadrilateral A B C D. Length of A B is 2, A D is 6, B C is 6, and C D is 2.</p>

<p>Quadrilateral W X Y Z. W X, 3. X Y, 9. Y Z, 3. Z W, 9.<br>
</p>

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Problem 6

ForLesson 7: Reasoning about Similarity with Transformations

Student Task Statement

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

An equilateral triangle and a right triangle are similar.
A right triangle and an isosceles triangle are similar.

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Problem 7

ForLesson 6: Connecting Similarity and Transformations

Student Task Statement

Quadrilaterals and are similar.

What is the scale factor of the dilation that takes to ?

<p>Quadrilaterals P and Q are similar. P has sides from the top measuring 4, 3 and 2, Q has sides from the top 5, none and 2 point 5. </p>

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Problem 8

ForLesson 1: Scale Drawings

Student Task Statement

The circle centered at is a scaled copy of the circle centered at .

Find the scale factor.
Find the value of .

<p>A right triangle inscribed in a circle. Hypotenuse is labeled 5, and sides adjacent to the right angle are labeled 3 and x. Point R is on the hypotenuse.</p>

<p>A right triangle inscribed in a circle. Hypotenuse is labeled 20. Point Q is on the hypotenuse.</p>

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triangle where angle is 35º and angle is 30º

triangle where angle is 35º and angle is 125º

triangle where angle is 20º and angle is 125º

triangle where angle is 20º and angle is 30º

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Conditions for Triangle Similarity

Practice

Problem 1

Student Task Statement

Problem 2

Student Task Statement

Problem 3

Student Task Statement

Problem 4

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Problem 5

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Problem 6

Student Task Statement

Problem 7

Student Task Statement

Problem 8

Student Task Statement

Lesson 9 Resources