Question

drag the similar figure into the table.
angle measures are rounded to the nearest integer.

Explanation:

Step1: Check the angles of the original figure and the candidate figures

The original figure (the light - blue triangle at the bottom) has angles \(90^{\circ}\), \(37^{\circ}\), and \(53^{\circ}\).

• The green triangle has angles \(90^{\circ}\), \(67^{\circ}\), and \(23^{\circ}\).
• The blue triangle has angles \(90^{\circ}\), \(37^{\circ}\), and \(53^{\circ}\).
• The orange triangle has angles \(60^{\circ}\), \(60^{\circ}\), and \(60^{\circ}\).

Step2: Use the AA (Angle - Angle) similarity criterion

Two triangles are similar if their corresponding angles are equal. Since the original figure (light - blue triangle) and the blue triangle have the same set of angles (\(90^{\circ}\), \(37^{\circ}\), \(53^{\circ}\)), they are similar by the AA similarity criterion.

Answer:

Drag the blue triangle (with sides \(8\), \(6\), \(10\) and angles \(90^{\circ}\), \(37^{\circ}\), \(53^{\circ}\)) into the "Similar Figure" column.