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Minchanka [31]
3 years ago
9

What else would need to be congruent to show that ABC = XYZ by SAS?

Mathematics
1 answer:
Eduardwww [97]3 years ago
4 0

Answer:

BC=YZ

Step-by-step explanation:

The SAS Congruency states that if two sides and one angle in a triangle are equal then the triangles are said to be congruent.

It is given that,

angle B= angle Y

AB=XY

to prove they are congruent we need to show that BC=YZ

HOPE IT HELPS :)

PLEASE MARK IT THE BRAINLIEST!

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Answer: Option C. 0 < x < 13

Solution

We have two triangles IJG and JGH. According with the figure, the two triangles have two congruent sides:

1. Side IJ in triangle IJG is congruent with side GH in triangle JGH.

2. Side GJ in triangle IJG is congruent with side GJ in triangle JGH (Reflexive Property)

The angle between the two congruent sides in triangle JGH (<JGH=35°) is smaller than the anglen between the two congruent sides in triangle IJG (<IJG=59°), then the opposite side to the angle JGH (35°) in triangle JGH must be less than the opposite side to the angle IJG (59°) in triangle IJG:

JH < IG

Replacing JH by x and IG by 13 in the inequality above:

x < 13

And the length of the side JH must be positive:

JH > 0

Replacing JH by x in the inequality above:

x > 0

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x > 0 and x < 13: 0 < x < 13


8 0
3 years ago
Read 2 more answers
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