Find the area of the shaded region below. 12 cm < 8 cm 3 cm 5 cm
1 answer:
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Answer:
ΔJKL ≅ ΔMNO by SAS
Step-by-step explanation:
The question is incomplete, the question is as following:
ΔMNO is shown.
Which Δ below can be shown to be congruent to ΔMNO with only the given information?
Name the postulate that justifies your answer (SAS, AAS, HL, ASA or SSS).
Write the congruency statement for the triangles.
And see the attached figure which represent ΔMNO
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Check the given options to see which triangle from the option will be congruent to ΔMNO
1. In triangles MNO and ABC, there are two congruent sides and non-included angle - which mean (angle - side - side)
The (angle - side - side) Postulate does not exist because an angle and two sides does not guarantee that two triangles are congruent.
2. In triangles MNO and DEF, there are two congruent sides - there is not enough information
3. In triangles MNO and GHI, there are three congruent angles - which mean AAA (angle - angle - angle)
The AAA Postulate does not exist because an angle and two sides does not guarantee that two triangles are congruent. This postulate is used to prove the similarity between the triangles.
4. In triangles MNO and JKL, there are two congruent sides and included angle - SAS (side - angle - side)
MN ≅ JK , MO ≅ JL , ∠M ≅ ∠J
For this case we have the following expression:
We take common factor , for this we must take into account that:
So, factoring the expression we have:
ANswer:
The factored expression is: