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leonid [27]
2 years ago
12

MZRST = (7x + 11)

Mathematics
1 answer:
SVEN [57.7K]2 years ago
8 0

Answer:

see explanation

Step-by-step explanation:

Alternate exterior angles are congruent, thus

∠ RST = ∠ RQP , substitute values

7x + 11 = 4x + 32 ( subtract 4x from both sides )

3x + 11 = 32 ( subtract 11 from both sides )

3x = 21 ( divide both sides by 3 )

x = 7

Thus

∠ RST = 7(7) + 11 = 49 + 11 = 60°

∠ RQP = 4(7) + 32 = 28 + 32 = 60°

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Answer:

  see below for drawings and description

Step-by-step explanation:

For geometry problems involving translation, rotation, and reflection—transformations that change location, but not size ("rigid" transformations)—it might be helpful for you to trace the image onto tracing paper or clear plastic so that you can manipulate it in the desired way. Eventually, you'll be able to do this mentally, without the aid of a physical object to play with.

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__

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__

b. Reflection means the points are copied to the same distance on the other side of the point or line of reflection. Just as an object held to a mirror has its reflection also at the mirror, any points on the line of reflection do not move. Reflection flips the image over. See the second attachment.

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c. Rotation about point D means point D stays where it is. The angle of rotation is the same as the angle at D, so the line DE gets rotated until it aligns with the line DF. The rest of the triangle maintains its shape. See the third attachment.

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