Blake draws a diagonal to cut a trapezoid. He says he is left with two triangles. Is Blake correct?
To determine if Blake is correct, we need to understand the properties of a trapezoid.
A trapezoid is a quadrilateral with one pair of parallel sides, called the bases. When a diagonal is drawn in a trapezoid, it connects one vertex on the shorter base to a non-adjacent vertex on the longer base.
When a diagonal is drawn in a trapezoid, it creates two triangles: one on each side of the diagonal. These triangles are known as diagonal triangles.
So, in the case described by Blake, where he draws a diagonal to cut the trapezoid, he is indeed left with two triangles. Therefore, Blake is correct in stating that he is left with two triangles after drawing the diagonal in the trapezoid.