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NikAS [45]
3 years ago
12

Rectangle EFGH is the image of rectangle ABCD after a sequence of transformations. Which statement describes the transformation

that occurred?
A. Rectangle ABCD was rotated 90 counterclockwise about the origin followed by dilation with center (0, 0) and a scale factor of 3/4.


B. Rectangle ABCD was translated right 3 units and down 11 units followed by a dilation with center (0, 0) and a scale factor of 1/2.


C. Rectangle ABCD was dilated with center (0, 0) and a scale factor of 1/2 followed by a translation right 3.5 units and down 8 units.

Mathematics
2 answers:
nasty-shy [4]3 years ago
8 0

Answer:

C. Rectangle ABCD was dilated with center (0, 0) and a scale factor of 1/2 followed by a translation right 3.5 units and down 8 units.

Step-by-step explanation:

See figure for intermediate steps.

vlabodo [156]3 years ago
7 0
I think the answer would be a but I’m not sure
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Suppose m is the line with equation y = −4 and ΔA'B'C is mapped to ΔA"B"C" by applying the glide reflection T3, 0 Rm.
balandron [24]

Answer:

The coordinates of ΔA''B''C'' are;

A''(-1, -3), B''(-2, -6), C''(1 , -7)

Step-by-step explanation:

A glide reflection involves the reflection of the preimage over a given line, followed by the translation of the resulting image along the given line

Given that the coordinates of the triangle ΔA'B'C' are;

A'(-4, -5), B'(-5, -2), C'(-2, -1), we have by reflection across the line y = -4

A''(-4, -4 + 1) = A''(-4, -3)

B''(-5, -4 - 2) = B''(-5, -6)

C''(-2, -4-3) = C''(-2, -7)

Translation of A''B''C'' by T 3, 0, we have;

A''(-4, -3)  → T₃, ₀ → A''(-4 + 3, -3) = A''(-1, -3)

B''(-5, -6)  → T₃, ₀ → B''(-5 + 3, -6) = B''(-2, -6)

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The coordinates of ΔA''B''C'' are therefore;

A''(-1, -3), B''(-2, -6), C''(1 , -7).

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