Question

!50 POINTS! (3 SIMPLE GEOMETRY QUESTIONS)

QUESTIONS BELOW
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Answer 1

1st Question: b. x=6.0

2nd Question: a. AA

3rd Question: b.

Explanation:

For 1st Question:

Since ΔDEF ≅ ΔJLK

The corresponding side of a congruent triangle is congruent or equal.

So,

DE=JL=4.1

EF=KL=5.3

DF=JK=x=6.0

Therefore, answer is b. x=6.0

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For 2nd Question:

In ΔHGJ and ΔFIJ

∡H = ∡F Alternate interior angle

∡ I = ∡G Alternate interior angle

∡ J = ∡ J Vertically opposite angle

Therefore, ΔHGJ similar to ΔFIJ by AAA axiom or AA postulate,

So, the answer is a. AA

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For 3rd Question:

We know that to be a similar triangle the respective side should be proportional.
Let's check a.

4/5.5=8/11

5.5/4= 11/6

Since side of the triangle is not proportional, so it is not a similar triangle.

Let's check b.

4/3=4/3

5.5/4.125=4/3

Since side of the triangle is proportional, so it is similar triangle.

Therefore, the answer is b. having side 3cm.4.125 cm and 4.125cm.