Statement: If VW ≅ WX, then ∠XVW ≅ ∠WXV. Theorem: Base Angles Theorem
Practice makes perfect
We are given a diagram.
We want to fill in the blanks of the given statement.
If VW ≅ WX, then ∠ ≅ ∠ .
The first part of the given statement, VW≅ WX, tells us that these two sides are congruent. Let's highlight the relevant segments and add the congruence markers to the diagram.
If two sides of a triangle are congruent, then the angles opposite them are congruent.
By the theorem, since we know that two sides of the triangle — VW and WX — are congruent, then we also know that the angles opposite them are congruent.
When we look at the diagram, we can see that these angles are ∠XVW and ∠WXV. Now we can complete the given statement.
