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UV→bisects ∠WUX. Write the theorem that justifies the statement thatV is equidistant fromUW→ and UX→.

Short Answer

Expert verified

The theorem that justifies the statement thatV is equidistant fromUW→ andUX→ isthe theorem 4-7 which states that if a point lies on the bisector of the angle then the point is equidistant from the sides of the angle.

Step by step solution

01

Step 1. Observe the diagram.

The diagram showing that UV→bisects ∠WUXis:

02

Step 2. Write the theorem 4-7.

The theorem 4-7 states that if a point lies on the bisector of the angle then the point is equidistant from the sides of the angle.

03

Step 3. Description of step.

It is being given thatUV→ bisects ∠WUX.

Therefore, the UV→is the bisector of the angle ∠WUX.

Therefore, by using the theorem 4-7 it can be noticed that the pointVis equidistant from the sides of the angle.

Therefore, the theorem that justifies the statement that Vis equidistant from UW→and UX→is the theorem 4-7 which states that if a point lies on the bisector of the angle then the point is equidistant from the sides of the angle.

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