Terry is planning shapes to put on a quilt. He puts diagrams of two figures on a coordinate grid (shown below) Compare the area of the triangle and the pentagon.

Mr. walker gave his class the function f(x) = (x + 3)(x + 5). four students made a claim about the function. each student’s claim is below. jeremiah: the y-intercept is at (15, 0). lindsay: the x-intercepts are at (–3, 0) and (5, 0). stephen: the vertex is at (–4, –1). alexis: the midpoint between the x-intercepts is at (4, 0). which student’s claim about the function is correct?

How many different triangles can be constructed with the angle measurements of 134° 10° and 36° ?

Are the corresponding angles congruent? explain why or why not.