Question

hannah graphs a right triangle as shown, and then she applies the translation (x + 7, y − 8). what is the length of the horizontal base of the image? 10 units 11 units 2 units 3 units

Explanation:

Step1: Recall translation property

Translations preserve the shape and size of a figure, so the length of the horizontal base of the image will be the same as the original triangle's horizontal base.

Step2: Find original horizontal base length

From the graph, the original right triangle's horizontal base (along the x - axis direction) has endpoints, say, at \(x = 1\) and \(x = 4\) (by looking at the grid). The length is \(4 - 1=3\) units. Since translation doesn't change length, the image's horizontal base length is also 3 units.

Answer:

3 units