AnswersTX-Advanced Quantitative ReasoningExponential and Logistic Functions

Congruent and Similar Triangles in the Coordinate Plane Answers

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The vertices of triangle RST are R(–4,4) S(5,4), and T(–1,–5). If ΔLMN is similar to ΔRST and , which could be the coordinates of vertices L and M?

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L(–2,2) and M(1,2)
B
L(–1,3)and M(–2,–3)
C
L(4,–3) and M(1,3)
D
L(–3,1) and M(0,2)
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Triangle DEF is congruent to right triangle GHI with a right angle at vertex H. If the slope of DE is –2, what must be true?

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The slope of HI is.
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The slope of EF is.
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The slope of GH is –2.
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The slope of DF is –2.
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The vertices of triangle ABC are A(2,3), B(–1,2), and C(3,1). If ΔDEF ∼ ΔABC and DE = 4AB, what is the length of EF?

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√10
B
√17
C
4√10
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4√17
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The vertices of ΔRST are R(–1,–1), S(–1,11) and T(4,11). Which could be the side lengths of a triangle that is similar but not congruent to ΔRST?

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10, 12, and 13 units
B
5, 24, and 26 units
C
10, 24, and 26 units
D
5, 12, and 13 units
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(–2,1)
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(–3,2)
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(1,0)
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(1,2)
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The vertices of triangle RST are R(–1,–2), S(2,–1), and T(4,2). If ΔJKL ∼ ΔRST and the length of KL is units , what is the length of JK?

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AB = 2AD
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AD = 2AB
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BC = 2DE
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DE = 2BC
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(–6,1)
B
(–6,2)
C
(–5,1)
D
(–5,2)

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