Question

Select all that are true for Triangle PQR

Answer 1

4 Answers:

• Choice B
• Choice C
• Choice E
• Choice F

In other words, only choice A and choice D are false.

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Explanation:

An included angle is one between two given sides. Think of the angle sandwiched in between.

For choice A, the included angle is actually angle R. This is because the "R" shows up in QR and RP. This is the overlapping or shared letter between the segments. So we can see that statement A is false.

In contrast, choice B and choice C are true. Choice B is true because of what I mentioned in the previous paragraph. Choice C is true because Q shows up in both QR and PQ. It might help to draw out the diagram to see why this works.

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For choices D through F, we'll just take this logic in reverse.

The segment RP has angles R and P involved. In other words, segment RP is between angles R and P. We can rule out choice D since choice E is true.

Choice F is true as well because segment QP involves angles Q and P. No diagrams are needed but it might help to draw out the diagram to see what's going on.

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Overall, we have four true statements and they are choices B, C, E and F.