Download WS - 7.2 - Similar Polygons

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Name______
Date_ _ _ _ _ _ _ _ _ _ _ _ _ __
fiJ- Similar Polygons
List the pairs of congruent angles and the extended proportion that relates the coiTesponding sides for the
similar polygons.
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2) NPOM ~ TQRS
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Determine whether the polygons are similar. If so, write a similarity statement and give the scale factor.
If not, explain.
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Determine whether the polygons are similar.
6)
an equilateral triangle with side length 6 and an
equilateral triangle with side length 15
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a triangle with side lengths 3 em, 4 em, and 5 em,
and a triangle with side lengths 18 em, 19 em, and
20cm
No.
a square with side length 4 and a rectangle with
width 8 and length 8.5
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9)
a rhombus with side lengths 8 and consecutive
angles 50° and 130 °, and a rhombus with side
lengths 13 and consecutive angles 50 o and 130 °
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10) An architect is making a scale drawing of a building. She uses the scale 1 in.
a. If the building is 48 ft tall, how tall should the
scale drawing be?
1?
t/&11
Determine whether each statement is always, sometimes, or never true.
11) Two squares are similar.
12) Two hexagons are similar.
13) Two similar triangles are congruent.
14) A rhombus and a pentagon are similar.
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15 ft.
b. If the building is 90 ft wide, how wide should the
scale drawing be?
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Find the value of y. Give the scale factor of the polygons.
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In the diagram below, !1PRQ ~ !::JJEF. Find each of the following.
16) the scale factor of M RQ to MEF
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19) mL.P
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