Similarity and Congruence Proportions

Given that ∠QRT ≅ ∠SRT, what additional information is needed to prove that ΔQRT  ≅  ΔSRT by the Angle-Angle-Side Postulate?

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CCSS.HSG.SRT.B.5

Dilation of 4 about the origin.

Where would C' be located?

• (0, 5)

• (-4, 1)

• (4, 1)

• (0, 4)

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CCSS.8.G.A.3

Are the triangles congruent? If they are, write the Congruence Theorem that justifies your answer.

• ASA

• AAS

• SSS

• SAS

• HL

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CCSS.HSG.SRT.B.5

The two right triangles below are similar. What is x, the missing side length in triangle DEF? 

• 3.75

• 9.75

• 10

• 12

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CCSS.HSG.SRT.A.2

The pair of figures is similar. Find the missing side.

• x = 1

• x = 3

• x = 9

• x = 5

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CCSS.HSG.SRT.A.2

Are these triangles similar?

• Yes

• No

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CCSS.HSG.SRT.A.2

Are the triangles similar? If so, what is the scale factor from ΔDEF to ΔABC?

• Yes. 1.5

• Yes. ⅔

• Yes. 2

• No.

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CCSS.HSG.SRT.A.2

∆ABC≅∆XYZ
which is true?

• AB≅XY

• AB≅YX

• AB≅XZ

• BC≅CB

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CCSS.8.G.A.2

Two objects that are the same shape but not the same size are _______.

• Congruent

• Vertical

• Similar

• Complementary 

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CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Are the two figures similar?

• yes

• no

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CCSS.8.G.A.2

CCSS.HSG.CO.B.6