the width of the rectangle is 5 inches less than it's length, and the area is 84 square inches. what are the length and width of
1 answer:
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Answer:
As Given △QRS is rotated about point P to △Q′R′S′ .
As we know after rotation by any angle of pre-image neither the shape nor size of the image changes, the image after rotation is congruent to pre image.
Out of the options given
→The corresponding lengths, from the point of rotation, between the pre-image and the image are preserved.
→The corresponding angle measurements in each triangle between the pre-image and the image are preserved.
are true.
Answer:
Step-by-step explanation:
<u>Similar Triangles</u>
Lines ST and QR are parallel. Thus, angles S and Q are congruent, and angles T and R are congruent.
Considering the triangle PQR, the sum of its internal angles must be 180°:
Substituting the known values:
Solving for R:
Angles S and Q are congruent, thus
Angles T and R are congruent, thus
Summarizing: