Question

hannah graphs a right triangle as shown, and then she applies the translation (x + 8, y - 4). what is the length of the horizontal base of the image? ○ 3 units ○ 2 units ○ 11 units ○ 12 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: Determine original horizontal base length

From the graph, the original right triangle's horizontal base (along the x - axis direction) has a length. By counting the grid units, the horizontal base of the original triangle is 3 units (e.g., from x = 1 to x = 4, the difference is \(4 - 1=3\)). Since translation doesn't change the length, the horizontal base of the image is also 3 units.

Answer:

3 units