Need help with a proof! Geometry!

Step-by-step explanation:

1. ABCD is a rectangle and Q is the midpoint of CD.

Given

2. DQ ≅ QC

Since Q is the midpoint of CD, then by definition of midpoint, DQ ≅ QC.

3. AD ≅ BC

In a rectangle, opposite sides are congruent.  AD and BC are opposite sides of the rectangle.

4. ∠D ≅ ∠C

The angles of a rectangle are right angles, and right angles are congruent.

5. ΔADQ ≅ ΔBCQ

Since we have two triangles with two pairs of congruent sides and one pair of congruent angles between them, the triangles are congruent by SAS.

6. AQ ≅ BQ

Corresponding parts of congruent triangles are congruent.  Since the triangles are congruent, the hypotenuses AQ and BQ are also congruent.

the surface area is 124cm²

step-by-step explanation:

length: 4cm

width: 9cm

height:   2cm