Final Answer:
Side Z is greater than Side S.
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Explanation:
We are told:
- Side X ≅ Side Q (they’re congruent, meaning equal in length)
- Side Y ≅ Side R (also equal)
- Angle L > Angle M
In two triangles, if two sides are equal (X = Q and Y = R), then the triangle with the
larger included angle will have the
longer third side.
Look carefully:
- In Triangle A, sides X and Y meet at Angle L. So Angle L is the included angle between sides X and Y, and the side opposite it is Side Z.
- In Triangle B, sides Q and R meet at Angle M. So Angle M is the included angle between sides Q and R, and the side opposite it is Side S.
Since X = Q, Y = R, and Angle L > Angle M, the side opposite the larger angle (Z) must be longer than the side opposite the smaller angle (S).
So:
Side Z > Side S.
That’s why the correct answer is: *Side Z is greater than Side S*.
Parent Tip: Review the logic above to help your child master the concept of triangle inequality properties worksheet answers.
