QUESTION IMAGE
Question
which pairs of figures are congruent? which pairs are similar?
congruent? ○ yes ○ no \t\t\t\tcongruent? ○ yes ○ no
similar? ○ yes ○ no \t\t\t\t\tsimilar? ○ yes ○ no
congruent? ○ yes ○ no \t\t\t\tcongruent? ○ yes ○ no
similar? ○ yes ○ no \t\t\t\t\tsimilar? ○ yes ○ no
Step1: Analyze first figure pair
Two circles have identical shape and size.
Congruent: Yes; Similar: Yes
Step2: Analyze second figure pair
Two right triangles have identical shape and size.
Congruent: Yes; Similar: Yes
Step3: Analyze third figure pair
Two shapes have identical shape and size.
Congruent: Yes; Similar: Yes
Step4: Analyze fourth figure pair
Rectangle and square have different shape (angles match but side ratios differ: square has 1:1 ratio, rectangle has non-1 ratio). They are not same size.
Congruent: No; Similar: No
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- Top-left pair:
Congruent? Yes
Similar? Yes
- Top-right pair:
Congruent? Yes
Similar? Yes
- Bottom-left pair:
Congruent? Yes
Similar? Yes
- Bottom-right pair:
Congruent? No
Similar? No