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Congruence, similarity and quadrilaterals
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Congruence, similarity and quadrilaterals
Congruence, similarity and quadrilaterals
Example 1
Similar triangles have corresponding sides 4cm and 20cm. A second side in the smaller triangle is 4cm. Find its corresponding larger side, in cm.
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Answer: 20
- Scale factor =420=5. Multiply the corresponding side 4 by 5.
Example 2
Two triangles have equal corresponding angles but different side lengths. What must be true?
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Answer: They are similar, but not congruent
- Equal corresponding angles establish similarity. Different corresponding lengths rule out congruence.
Example 3
Which information is sufficient to establish congruence of two triangles?
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Answer: Two sides and the included angle match
- SAS gives congruence when the angle is between the two matching sides.
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