Options d (6, 10.5, and 15) and e (8, 14, and 20) correctly represent sets of values for the sides of Triangle Z, demonstrating clear scale-up relationships from the sides of Triangle M.
To find the set of values that could represent the side lengths of Triangle Z in a direct scale-up from the side lengths of Triangle M (4, 7, and 10), we evaluate each option:
a. 8, 11, and 14: Incorrect. The scale-up factor for 4 and 7 is 2, but the corresponding value for 10 should be 20, not 11.
b. 10, 17.5, and 25: Incorrect. The scaling is inconsistent; 7 should scale up to 17.5, not 25.
c. 6, 9, and 11: Incorrect. No clear pattern of scaling from the values of Triangle M.
d. 6, 10.5, and 15: Correct. Each side is scaled up by a factor of 1.5, maintaining the ratio of 4:7:10.
e. 8, 14, and 20: Correct. Each side is directly scaled up by a factor of 2, maintaining the ratio of 4:7:10.
The question probable may be:
Triangle Z is a scaled copy of Triangle M.
Select all the sets of values that could be the side lengths of Triangle Z.
a. 8, 11, and 14.
b. 10, 17.5, and 25.
C. 6, 9, and 11.
d. 6, 10.5, and 15.
e. 8, 14, and 20.