Question

watch the animation. then complete each statement. two triangles from the video are shown. the two triangles have at least two pairs of congruent corresponding angles, so the two triangles are by the angle - angle theorem. thus, the two triangles have the same ratio of height to width. the height - to - width ratio of each triangle is equal to. the height - to - width ratio of each triangle is the of the line.

Explanation:

Step1: Determine triangle similarity

Since the two triangles have at least two pairs of congruent corresponding angles, by the Angle - Angle (AA) Theorem, the two triangles are similar.

Step2: Calculate height - to - width ratio

For the first triangle, the height is 4000 and the width is 2, so the height - to - width ratio is $\frac{4000}{2}=2000$. For the second triangle, the height is 6000 and the width is 3, so the height - to - width ratio is $\frac{6000}{3}=2000$.

Step3: Recall geometric concept

The height - to - width ratio of a right - triangle formed by a line is the slope of the line.

Answer:

Similar; 2000; slope