Angle I measured 20 degrees, side HI = 5, angle L = 20 degrees, and side KL = 5. What additional information would you need to prove that triangle HIJ is congruent to triangle KLM by SAS

Question

Katherine Delacruz

Mathematics

21 March, 04:25

Angle I measured 20 degrees, side HI = 5, angle L = 20 degrees, and side KL = 5. What additional information would you need to prove that triangle HIJ is congruent to triangle KLM by SAS

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Answers (2)

Know the Answer?

Javon · Answer 1

The correct answer is C. Side J is congruent to side LM.

Georgia Fowler · Answer 2

IJ = LM.

Step-by-step explanation:

The Side-angle-side postulate states that if the pair of a corresponding sides and angles formed between these sides of two triangles are equal in measurement then these two triangle are said to be congruent.

As shown in figure 1 below:

In Δ HIJ and ΔKLM,

∠I = ∠L = 20° and HI = KL = 5 units

Since the ∠I lies between HI and IJ and ∠L lies between KL and LM, ∴ if IJ = LM then Δ HIJ and ΔKLM will be congruent by SAS postulate.