Question

Triangle ABC is a scale drawing of Triangle XYZ, as shown.

Based on the information shown in these triangles, which of the following is a true statement?

A) The length of side XZ is 11.5.
B) The length of side XZ is 28.
C) The measure of angle A is equal to the measure of angle Z.
D) The measure of angle A is not equal to any of the angle measures of Triangle XYZ.

Answer 1

B

Explanation:

Since we know that triangle XYZ is a scale model of ABC then if we find the amount XYZ is bigger then ABC then we can find the answer. Line CB is the corresponding line to ZY and ZY is 3.5x greater then CB. Apply the same logic to AC and we get 8*3.5=ZX 8*3.5=28 so ZX=28.

Answer 2

Answer: B the side length of XZ is 28

Step-by-step explanation:

to find the scale factor, one of the methods is to divide the side length of one triangle by the same side length of the other triangle.

for example with this problem, the length of XY is 42 while side length AB is 12. 42/12 is 3.5. we know that the side length that corresponds with XZ is 8 so multiply it by 3.5 to get the answer of 28.