AnswersTPS-202627-MTH-Geometry 1A-CRTriangle Similarity: SSS and SAS (Sec 7-3, 7-4, 7-5)

Exploring the Pythagorean Theorem Answers

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2 triangles are shown. The first triangle has side lengths x, x, 50. The second triangle has side lengths 45, 45, 75.

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A
1.5
B
20
C
30
D
67.5
22
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Two similar triangles are shown.

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A
rotated
B
reflected
C
translated
D
dilated
23

Right triangle ABC is reflected over AC, then dilated by a scale factor of to form triangle DEC. Which statements about the two triangles must be true? Select three options.

Question illustration
A
△ABC ~ △DEC
B
∠B ≅ ∠E
C
3BC = 2EC
D
3DE = 2AB
E
3m∠A = 2m∠D
F
2m∠A = 3m∠D
24

On a coordinate plane, triangle A B C has points (negative 9, 3), (negative 9, 6), (0, 3) and triangle A double-prime B double-prime C double-prime has points (3, negative 1), (3, negative 2), and (0, negative 1).

Question illustration
A
a reflection over the x-axis, then a dilation by a scale factor of 3
B
a reflection over the x-axis, then a dilation by a scale factor of
Option B
C
a 180° rotation about the origin, then a dilation by a scale factor of 3
D
a 180° rotation about the origin, then a dilation by a scale factor of
Option D
25

ΔXYZ was reflected over a vertical line, then dilated by a scale factor of , resulting in ΔX'Y'Z'. Which must be true of the two triangles? Select three options.

Question illustration
A
△XYZ ~ △X'Y'Z'
B
XZY ≅ Y'Z'X'
Option B
C
YX ≅ Y'X'
D
XZ = 2X'Z'
E
mYXZ = 2mY'X'Z'
Option E

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