This two-column proof shows that $\Delta ABC\sim\Delta XYZ$Δ`A``B``C`~Δ`X``Y``Z` 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 |

$\Delta ABC\sim\Delta XYZ$Δ |
$\left[\text{____}\right]$[____] |

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

Angle-angle similarity (AA$\sim$~)

A

Side-angle-side similarity (SAS$\sim$~)

B

Side-side-side similarity (SSS$\sim$~)

C

Easy

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Use congruence and similarity criteria for triangles to solve problems algebraically and geometrically.

Use congruence and similarity criteria for triangles to prove relationships in geometric figures.