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Geometry
Section 7-3
Similar Polygons
Similar Polygons- Two polygons with corresponding angles congruent
and corresponding sides proportional; ~
Examples:
1.
2.
Quadrilateral ABCD ~ quadrilateral A’B’C’D’.
a.
Find their scale factor
b.
Find the values of x, y, and z
c.
Find the ratio of the perimeters
Quadrilateral EFGH ~ quadrilateral E’F’G’H’.
a.
Find their scale factor
b.
Find the values of x, y, and z
c.
Find the ratio of the perimeters
3.
Quadrilateral ABCD ~ A’B’C’D’.
a.
m<E = ___________
b.
m<G = ___________
c.
m<B = ___________
d.
If m<D = 110, then m<H = ___________.
e.
The scale factor is ________.
f.
EH = _________
g.
BC = _________
h.
AB = _________
4.
Trapezoid ABCD is similar to trapezoid PQRS. List all the
pairs of congruent angles and write ratios of the corresponding
sides in a statement of proportionality.
5.
Decide whether the figures are similar. If they are, write the
similarity statement.
a.
b.
6.
You have a photo 4 in. wide by 6 in. long that you want to
reduce to fit in a frame that is 1.5 in. wide. How long will the
reduced photo be?
7.
Parallelogram ABCD is similar to parallelogram GBEF. Find
the value of y.
8.
UVW is similar to YXW. Find the value of a.
Classroom Exercises: p. 250 1-10
HW: p. 250-252 2-26 even, Self-Test 1-15