How do you know if a triangle is similar or not similar?
If two pairs of corresponding angles in a pair of triangles are congruent, then the triangles are similar. We know this because if two angle pairs are the same, then the third pair must also be equal. When the three angle pairs are all equal, the three pairs of sides must also be in proportion.
Is ABC similar to AXYZ? Explain why the triangles are similar or why they are not similar. You need to show evidence and all work for full credit.
3 answers
Triangles ABC and XYZ are similar with 2 ZX, and ZBE ZY. ... Observe that for triangles to be similar, we just need all angles to be equal.
Or ....
if the 3 sides of one triangle are proportional to the corresponding sides
of another triangle, the triangles are similar.
e.g. one triangle has sides 4, 5, 8
another has sides, 12, 15, 24, they are similar
if the 3 sides of one triangle are proportional to the corresponding sides
of another triangle, the triangles are similar.
e.g. one triangle has sides 4, 5, 8
another has sides, 12, 15, 24, they are similar
3 answers