Question

Please help and show all work thank you.

Answer 1

Question 1:

We can tell that this shape is a parallelogram because the diagonals bisect each other, which is a property unique to parallelograms.

Question 2:

72 + 72 = 144

This is not a right angle, so this shape cannot be a square or rectangle.

Since we have congruent base angles, each of those triangles are congruent isosceles triangles.

Thus, we have 4 sides of equal length. Thus, this shape must be a rhombus.

Question 3:

We know that AB and CD (the legs) are congruent since this is an isosceles trapezoid.

8y - 18 = 7y - 4

Subtract both sides by 7y

y - 18 = -4

Add both sides by 18

y = 14

That's your answer.

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