Answer:
My Question was The slope of the line shown between the points (-7, -3) and (-4, 0) is equal to its slope between the points (0, 4) and (6, 10).
Which of the following best describes triangle TUV and triangle XYZ?
answer: Triangle TUV is similar to triangle XYZ.
Step-by-step explanation:
Point V is at (-7, -3), and point T is at (-4, 0). So, the slope of the line between (-7, -3) and (-4, 0) is equal to the ratio of UT to VU.
Point Z is at (0, 4), and point X is at (6, 10). So, the slope of the line between (0, 4) and (6, 10) is equal to the ratio of YX to ZY.
Since the slope between (-7, -3) and (-4, 0) is equal to the slope between (0, 4) and (6, 10), the ratio of UT to VU is equal to the ratio of YX to ZY.
Two right triangles are similar if the ratios of two sets of their corresponding sides are congruent. Therefore, triangle TUV is similar to triangle XYZ.
