Angle I measured 20 degrees, side HI = 5, angle L = 20 degrees, and side KL =5. What additional information would you need to pr
ove that triangle HIJ is congruent to triangle KLM by SAS
2 answers:
Answer:
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.
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Answer:
Step-by-step explanation:
We are given the length of the whole line and its two halves. Since JK and KL make up the line JL, adding them together would make the line JL.
Now we can plug the value of back into the expression we were given for the line KL.