8. Similarity
8.05 Proving triangles similar
Interactive practice questions
This two-column proof shows that $\Delta ABC\sim\Delta XYZ$ΔABC~ΔXYZ in the attached diagram, but it is incomplete.
| Statements | Reasons |
|---|---|
| $\frac{AC}{XZ}=\frac{BC}{ZY}$ACXZ=BCZY | Given |
| $\angle ACB\cong\angle XZY$∠ACB≅∠XZY |
Given |
|
$\Delta ABC\sim\Delta XYZ$ΔABC~ΔXYZ |
$\left[\text{____}\right]$[____] |
Select the correct reason to complete the proof.
Angle-angle similarity (AA$\sim$~)
A
Side-angle-side similarity (SAS$\sim$~)
B
Side-side-side similarity (SSS$\sim$~)
C
Easy
< 1min
This two-column proof shows that two triangles in the attached diagram are similar, but it is incomplete.
Easy
< 1min
This two-column proof shows that two triangles in the attached diagram are similar, but it is incomplete.
Easy
< 1min
This two-column proof shows that two triangles in the attached diagram are similar, but it is incomplete.
Easy
< 1min
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