Question

how many different quadrilaterals are you able to compose using the two copies of triangle r? explain the process you used to compose a quadrilateral using the identical triangles. you may revisit the geogebra activity if needed. you can start your response with: • i was able to create ____ quadrilaterals. • i built each quadrilateral by...

Explanation:

Step1: Understand quadrilateral formation

When combining two identical triangles to form a quadrilateral, we match their sides.

Step2: Analyze side - matching possibilities

For two non - degenerate identical triangles, we can match their three pairs of sides. Each pair of matching sides gives a different quadrilateral.

Answer:

I was able to create 3 quadrilaterals. I built each quadrilateral by aligning one side of the first triangle with the corresponding side of the second triangle. For example, if the triangles have sides \(a\), \(b\), and \(c\), we can match side \(a\) of one triangle with side \(a\) of the other triangle, side \(b\) of one triangle with side \(b\) of the other triangle, and side \(c\) of one triangle with side \(c\) of the other triangle, resulting in three different quadrilaterals.