Geometry question please help with triangle congruence question thank you so much
- Thread starter JonahKane
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lev888
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What is HL Theorem? Why do you think it's b? What exactly is confusing?
I think its b but I'm really confused please help thank you so much.
Dr.Peterson
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Are a and b the only choices??
Dr.Peterson
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It would be silly to give only two choices; unless the rest is on the next page, consider it a misprint. The answer should be "only III", because only that figure labels "H", the hypotenuse.
HallsofIvy
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"HL" is a theorem in geometry that says that if the Hypotenuse and one Leg of a right triangle are congruent to the hypotenuse and one leg of another right triangle then the triangles are congruent.
In "I" we are given that two angles and one leg (the common side) are congruent, not the hypotenuse and one leg. In "III" we are given directly that the two hypotenuses (hypoteni?) are congruent and there is a common leg so that is "HL". In "II" we are given directly that the two legs are congruent so I would call that "LL". But you could use the "Pythagorean theorem" to argue that the two hypotenuses are also congruent so that you could then use "HL" but I would consider that stretching a point!
In "I" we are given that two angles and one leg (the common side) are congruent, not the hypotenuse and one leg. In "III" we are given directly that the two hypotenuses (hypoteni?) are congruent and there is a common leg so that is "HL". In "II" we are given directly that the two legs are congruent so I would call that "LL". But you could use the "Pythagorean theorem" to argue that the two hypotenuses are also congruent so that you could then use "HL" but I would consider that stretching a point!
