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cupoosta [38]
3 years ago
13

Which graph shows a method for finding the image of point D if the parallelogram is reflected across the dashed line?

Mathematics
1 answer:
Ber [7]3 years ago
5 0

Answer:

The third option with the right angle

Step-by-step explanation:

By creating a perpendicular line through the line of reflection (the orange dotted line) and the point "D" we can measure the distance of D from the line of reflection. Then draw "D'" using the distance of the "D" from the line of reflection.

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Answer:

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Solution -

In triangle PMQ

Angle p = 37°

Angle M = 78°

<em><u>Using</u></em><em><u> </u></em><em><u>Angle</u></em><em><u> </u></em><em><u>sum</u></em><em><u> </u></em><em><u>property</u></em><em><u> </u></em><em><u>of</u></em><em><u> </u></em><em><u>triangle</u></em><em><u> </u></em><em><u>:</u></em><em><u> </u></em>

Sum of all angles of a triangle = 180°

Angle M + Angle p + Angle N = 180°

78 + 37 + N = 180°

115 + N = 180°

N = 180 - 115

N = 65°

<em><u>In</u></em><em><u> </u></em><em><u>triangle</u></em><em><u> </u></em><em><u>PQR</u></em><em><u> </u></em>

Angle p = 37°

Angle R = 65°

Using Angle sum property

Sum of all angles of a triangle = 180°

Angle p + Angle R + Angle Q = 180°

37 + 65 + Q = 180°

102 + Q = 180

Q = 180 - 120

Q = 60°

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