Enriched Pre­Algebra ­ Similar Polygons (chapter 4­5)
Similar Polygons ­ Enriched Pre­Algebra
Determine whether each pair of
polygons is similar. Explain your
reasoning.
1. 5 13
3 5
4
12
Polygon: A simple closed figure in a plane formed by three or more line segments.
Corresponding parts: Parts of similar
figures that “match”.
Similar: Figures that have the same shape but not necessarily the same size. Scale factor: The ratio of the lengths of
two corresponding sides of two similar polygons.
Congruent: Having the same measurement.
~ à represents "similar to"
∆ABC ~ ∆PQR
2. 6
7.5 6
B Q
18 13.5 8 10
8
P R
A C
If two polygons are similar, then the corresponding angles are congruent.
Each pair of polygons is similar. Write a proportion to find each missing measure. Then solve.
1. 2
6 x
15
If two polygons are similar, then their
corresponding sides are proportional.
F I
T G
S U
V W 1
Enriched Pre­Algebra ­ Similar Polygons (chapter 4­5)
Similar Polygons ­ Enriched Pre­Algebra
Determine whether each pair of
polygons is similar. Explain your
reasoning.
1. 5 13
3 5
4
12
Polygon: A simple closed figure in a plane formed by three or more line segments.
Corresponding parts: Parts of similar
figures that “match”.
Similar: Figures that have the same shape but not necessarily the same size. Scale factor: The ratio of the lengths of
two corresponding sides of two similar polygons.
Congruent: Having the same measurement.
~ à represents "similar to"
∆ABC ~ ∆PQR
2. 6
7.5 6
B Q
18 13.5 8 10
8
P R
A C
If two polygons are similar, then the corresponding angles are congruent.
Each pair of polygons is similar. Write a proportion to find each missing measure. Then solve.
1. 2
6 x
15
If two polygons are similar, then their
corresponding sides are proportional.
F I
T G
S U
V W 2
Enriched Pre­Algebra ­ Similar Polygons (chapter 4­5)
Similar Polygons ­ Enriched Pre­Algebra
Determine whether each pair of
polygons is similar. Explain your
reasoning.
1. 5 13
3 5
4
12
Polygon: A simple closed figure in a plane formed by three or more line segments.
Corresponding parts: Parts of similar
figures that “match”.
Similar: Figures that have the same shape but not necessarily the same size. Scale factor: The ratio of the lengths of
two corresponding sides of two similar polygons.
Congruent: Having the same measurement.
~ à represents "similar to"
∆ABC ~ ∆PQR
2. 6
7.5 6
B Q
18 13.5 8 10
8
P R
A C
If two polygons are similar, then the corresponding angles are congruent.
Each pair of polygons is similar. Write a proportion to find each missing measure. Then solve.
1. 2
6 x
15
If two polygons are similar, then their
corresponding sides are proportional.
F I
T G
S U
V W 3
Enriched Pre­Algebra ­ Similar Polygons (chapter 4­5)
4