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Geometry 9 Online
OpenStudy (anonymous):

Hannah notices that segment HI and segment KL are congruent in the image below:Which step could help her determine if ΔGHI ≅ ΔJKL by SAS? ∠G ≅ ∠K ∠L ≅ ∠H segment IG ≅ segment LJ segment GH ≅ segment KL

OpenStudy (anonymous):

I think the answer is D

OpenStudy (mathstudent55):

Sorry, but I can't see the image.

OpenStudy (anonymous):

one sec

OpenStudy (anonymous):

OpenStudy (anonymous):

@sleepyjess

OpenStudy (mathstudent55):

Ok, I see it. Thanks.

OpenStudy (anonymous):

ok

OpenStudy (mathstudent55):

HI and KL are one pair of sides of the two triangles. This pair of sides is congruent. To prove two triangles congruent, you need SSS, SAS, ASA, or AAS. We have only S so far, a single pair of sides.

OpenStudy (mathstudent55):

Angle I and angle L are given as congruent in the figure. That means we have a pair of sides and a p[air of angles that are congruent. We have either SA, and we need another side to get SAS, or we have AS, and we need another angle to have ASA.

OpenStudy (mathstudent55):

If you look in the figure, there is no other given info about any other pair of angles. Since the figure is drawn on a grid, we can see that sides IG and LJ are also congruent. That gives us the other pair of sides we needed for SAS.

OpenStudy (anonymous):

thank you

OpenStudy (anonymous):

@Motown117 i love SAO!!!!!!!!!!!!!!!

OpenStudy (mathstudent55):

You're welcome.

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