Question

Each side of ΔABC is a line segment. Side AB measures 6 cm, side BC measures 8 cm, and side AC measures 10 cm. Suppose the triangle was rotated 90° about the origin in a coordinate plane. Which of these statements would be correct about the resulting triangle? Select three that apply. A) The resulting triangle will have side AB measuring 6 cm.

B) The resulting triangle will have side BC measuring 8 cm.
C) The resulting triangle will have side AC measuring 10 cm.
D) The resulting triangle will have side AB measuring 8 cm.

Answer 1

To rotate a triangle 90 degrees about the origin in a coordinate plane, switch the x and y coordinates of each point.

Step-by-step explanation:

To rotate a triangle 90 degrees about the origin in a coordinate plane, we simply switch the x and y coordinates of each point. In this case, the original triangle ABC has points A(0,6), B(8,0), and C(10,0). When we switch the coordinates, we get A'(6,0), B'(0,8), and C'(0,10).

From this, we can see that the resulting triangle will have side AB measuring 6 cm (since A and B did not change positions), side BC measuring 8 cm (since B and C did not change positions), and side AC measuring 10 cm (since A and C did not change positions). Therefore, the correct statements are A) The resulting triangle will have side AB measuring 6 cm, B) The resulting triangle will have side BC measuring 8 cm, and C) The resulting triangle will have side AC measuring 10 cm.