Writing Congruent statements... Using Corresponding Parts of Congruent Figures
Write congruent statements comparing the corresponding parts in the congruent figures below.
Use the matching arcs and tick marks to identify the corresponding parts
Corresponding Angles: Corresponding Sides: Now you try... (From Lesson 2 HW Practice WS #'s 1 and 2)
1. Triangles ABC and GHI are congruent. Write congruence statements comparing the corresponding parts. Then determine which transformation(s) map ∆ABC onto ∆GHI.
Now you try... (From Lesson 2 HW Practice WS #'s 1 and 2)
2. Parallelograms CAMP and SITE are congruent. Write congruence statements comparing the corresponding parts. Then determine which transformation(s) map parallelogram CAMP onto parallelogram SITE.
Example 1
Determine whether ∆ABC is similar to ∆DEF. Explain.
Similarity...
Two polygons are similar if they have the same shape.
If the polygons are similar, then their corresponding angles are congruent Are the cooresponding angles congruent?
and the measures of their corresponding sides are proportional.
Are corresponding sides proportional?
Write congruence statements: Use ~ symbol for similarity
Example 1
Determine whether ∆GHJ is similar to ∆KMN. Explain.
G
24
K
12
8
Example 2
3
J
18
H
N
M
5
Given that Polygon KLMN ~polygon PQRS, find the missing measure.
Are the cooresponding angles congruent?
Write congruence statements: 24
Are corresponding sides proportional?
The triangles are not
similar because the side
lengths are not
proportional.
18
~
=
and
~
Practice...
Lesson 2 Skills Practice Congruence (1-3) (WS # 101)
Lesson 2 Reteach: Properties of Similar Polygons
Read the Examples (1 and 2) Complete Exercises 1-2
(WS 107)