Similar Triangles

Corresponding angles are

• matching angles between the two triangles

• matching parts of a circle

Tags

CCSS.8.G.A.5

Two similar right triangles are shown in the coordinate plane. Point P lies on line segment PR. Which statement best compares the slope of PQ to the slope of PR.

• PQ and PR have the same length, so the slopes must be equal.

• The lengths of the corresponding legs of the two triangles are proportional because they are similar, so the slopes must be equal.

• The horizontal distance from P to Q is 2 units, but the vertical distance is 4 units, so the slopes can't be equal.

• The short leg of the large triangle is the same length as the long leg of the small triangle, so the slopes cannot be equal.

Tags

CCSS.8.EE.B.6

What is the scale factor that dilated ABC to A'B'C' ?

• 2

• 3

• 4

• 6

Answer explanation

Each point on ABC was multiplied by SF of 3 to move to that circle!

Tags

CCSS.8.G.A.3

Given the following triangles ARE SIMILAR. Label the missing measurements.

e

f

7.5

11

4

6

5

8

Tags

CCSS.HSG.SRT.A.2

8) Triangle PQR is similar to triangle STU. Which proportion can be used to find the length of n?

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Tags

CCSS.HSG.SRT.A.2

16) ∆JKL ~ ∆PQR

Which proportion can be used to find x?

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Tags

CCSS.HSG.SRT.A.2

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Tags

CCSS.8.EE.B.6

ABC is similar to DEF. Which proportion could you use to find y.

Tags

CCSS.HSG.SRT.A.2

Choose the similarity statement for the triangles.

• ΔMNL ∼ ΔOPQ

• ΔNOM ∼ ΔPQL

• ΔLMN ∼ ΔPQO

• ΔMLN ∼ ΔPQO

Tags

CCSS.HSG.SRT.B.5

Are they similar?

• Yes, the angles are congruent and the side lengths are proportional.

• No, the angles are congruent, but the side lengths are not proportional.

• No, the side lengths are proportional, but the angles are not congruent.

• No, the side lengths are not proportional, nor are the angles congruent.

Tags

CCSS.HSG.SRT.A.2