Similar Triangles
1. How do you know that the triangles are similar?
a. Name the pairs of corresponding sides and the pairs of corresponding angles. How are the corresponding sides
related and how are the corresponding angles related? Why is this true?
MO and QR; ON and RP; NM and PQ are the corresponding sides
∠M and ∠Q; ∠O and ∠R; ∠N and ∠P are the corresponding angles
MO = ON = RP
QR
RP
PQ
m∠M = ∠Q; m∠O = m∠R; m∠N = m∠P
These relationships are true because the triangles are similar.
2. The sketch below shows two triangles, ΔMNO and ΔPQR.
a. How do you know that the triangles are similar?
XY and HF; YZ and FG; ZX and GH are the corresponding sides
∠X and ∠H; ∠Y and ∠F; ∠Z and ∠G are the corresponding angles
b. Name the pairs of corresponding sides and the pairs of corresponding angles. How are the corresponding sides
related and how are the corresponding angles related? Why is this true?
3. The sketch below shows two triangles, ΔXYZ and ΔHFG.
a. How do you know that the triangles are similar?
b. Name the pairs of corresponding sides and the pairs of corresponding angles. How are the
corresponding sides related and how are the corresponding angles related? Why is this true?
4. The sketch below shows two triangles, ΔLMN and ΔFEG.
a. How do you know that the triangles are similar? Is there anything else you can say about the two triangles?
b. Name the pairs of corresponding sides and the pairs of corresponding angles. How are the corresponding sides
related and how are the corresponding angles related? Why is this true?