Question

Since SSS guarantees that two triangles are congruent, one might think that SSSS guarantees that two quadrilaterals are congruent. This is false.

Given: A(0,0),B(1,3),C(4,3),D(3,0).

Graph ABCD and either graph or construct a quadrilateral that has the same side measurements as

ABCD but is NOT congruent to ABCD.

Explain why the quadrilaterals are NOT congruent.

Answer 1

Below.

Explanation:

When you graph this you'll see that it is a rhombus, which has 4 equal sides and the 4 angles are not 90 degrees.

You could draw a square on the coordinate plane using A(0.0). B (0,3), C(3,3) and D(3,0). The sides of the square are all equal to the sides of the rhombus but the 2 quadrilaterals are not congruent because the angles have different values,