Question

Use the graph to answer the question.

A first quadrant coordinate plane is shown. Triangles P Q R and S T U are graphed with their hypotenuses on the line passing through the origin and the points P, R, S, and U. The angles at points Q and T are right angles. The vertices of the triangles are at: P, two comma one, Q, four comma one, and R, four comma two, and S, six comma three, T, twelve comma three, and U, twelve comma six.

What is the ratio of the length of the vertical side to the length of the horizontal side of each triangle?

Enter the correct answer in the box.

Answer 1

1:2

Explanation:

Triangle PQR has a vertical side of 1 and a horizontal side of 2.

so the ratio is vertical : horizontal is 1:2

Triangle STU has a vertical side of 3 and a horizontal side of 6.

so the ratio is vertical : horizontal is 3:6

which can be reduced by dividing both sides by 3

so the ratio is vertical : horizontal is 1:2

Answer 2

vertical : horizontal = 1 : 2

Explanation:

UT, vertical length: 3 units

ST, horizontal length: 6 units

Therefore vertical length : horizontal length = 3 : 6 = 1 : 2