Question

7 - 37. examine the diagram at right. creat a flowchart proof to show that the smaller triangle is similar to the larger triangle.

Explanation:

Step1: Identify right angles

Both the smaller and larger triangles have right angles (given by the right - angle symbols).

Step2: Identify a common angle

The larger triangle and the smaller triangle share an acute angle (the non - right angle that is common to both).

Step3: Use AA (Angle - Angle) similarity criterion

If two angles of one triangle are equal to two angles of another triangle, then the triangles are similar. Since both triangles have a right angle and a common acute angle, by the AA similarity criterion, the smaller triangle is similar to the larger triangle.

Answer:

The smaller triangle is similar to the larger triangle by the AA (Angle - Angle) similarity criterion.