G.7 Similar Triangles (Coordinate Proofs)

Using the triangles shown, which statement is true?

• ΔABC ∼ ΔFED

• ΔDFE ∼ ΔHIG

• ΔABC ∼ ΔHIG

• ΔDFE ∼ ΔGIH

Tags

CCSS.HSG.SRT.A.2

Which set of true statements can be used to prove that

ΔABC ∼ ΔEDC?

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Tags

CCSS.HSG.SRT.B.5

If triangle RST is similar to triangle CAB,

which could be the coordinates of point C?

• (-2,1)

• (-2.0)

• (3,0)

• (3,1)

Tags

CCSS.HSG.SRT.A.2

What are the coordinates for point F that would make ΔABC similar to ΔFDE?

• (2,1)

• (6,1)

• (6,-5)

• (2,-5)

Tags

CCSS.HSG.CO.A.2

What do the coordinates of point D need to be to ensure that ΔABC ∼ ΔDEF?

• (-2,-4)

• (-4,4)

• (-4,-4)

• (-2,4)

Tags

CCSS.HSG.CO.A.2

What are the coordinates of C' that would make

ΔABC ∼ ΔA'B'C'?

• (8,0)

• (8,2)

• (8,1)

• (8,3)

Tags

CCSS.HSG.CO.A.2

Which of the statements is true about the graphed triangles?

• They are similar, because one can be obtained by dilating the other about the origin with a scale factor of 2.
• They are similar, because one can be obtained by dilating the other about the origin with a scale factor of 1/2.
• They are not similar, because one can be obtained by dilating the other about the origin with a scale factor of 2.
• They are not similar, because one can be obtained by dilating the other about the origin with a scale factor of 1/2.

Tags

CCSS.8.G.A.4

CCSS.HSG.SRT.A.2

What coordinates for point C would make ∆𝑃𝑄𝑇~∆𝐴𝐵𝐶?

• (7,3)

• (-2,-5)

• (4,-5)

• (7,-5)

Tags

CCSS.HSG.CO.A.2

A triangle with vertices (1,2), (5,2), and (3,-2) is shown. Which triangle is similar to the triangle shown?

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Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Given: 𝑅 (−2,0) , 𝑆 (−3,1) , 𝑇 (0,1) , 𝑈 (−5,3) , ∆𝑅𝑆𝑇~∆𝑅𝑈𝑉, with a scale factor of 1:3. Name the coordinates of V.

• (5,3)

• (4,3)

• (6,3)

• (0,3)

Tags

CCSS.HSG.CO.A.2