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3 years ago

In the diagram at the right, sides SV and RW are parallel. Explain why RTW is similar to STV.

Mathematics

1 answer:

blsea [12.9K]3 years ago

5 0

Answer:

Similar Triangles must have matching angles, so you need to prove the angles all match.

Step-by-step explanation:

Angle RTW = Angle STV becasue it's the same angle.

Because ST is parallel to RW and RT cuts through those two parallel lines, you have

Angle TSV = Angle TRW because they are corresponding angles.

Because ST is parallel to RW and TW cuts through those two parallel lines, you have

Angle TVS = Angle TWR because they are corresponding angles.

So now you know the three angles in each triangle match the three angles in the other triangle. They're similar triangles.

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In the diagram at the right, sides SV and RW are parallel. Explain why RTW is similar to STV.​

In the diagram at the right, sides SV and RW are parallel. Explain why RTW is similar to STV.