Question

Which statement is TRUE concerning the slope of the line formed by the hypotenuse of each triangle? A) The slope formed by ΔABC has a value that is 1 2 the slope formed by ΔCDE. B) The slope formed by ΔCDE has a value that is 2 times greater than the slope formed by ΔABC. C) The slope formed by ΔABC has a value that is 2 times greater than the slope formed by ΔCDE. D) The slope formed by ΔABC has a slope that is equal to the slope formed by ΔCDE.

Answer 1

Answer:

A. The slope formed by ΔABC has a value that is 1/2 the slope formed by ΔCDE

Step-by-step explanation:

Find the diagram attached.

Slope is the change in y coordinates tom that of x coordinate of a line.

Slope = Δy/Δx

Slope = y2-y1/x2-x1

For ΔABC,

A(-3, 6) and C = (-1, 3)

Slope = 3-6/-1-(-3)

Slope = -3/-1+3

Slope = -3/2

Slope of line AC is -3/2

For ΔCDE,

C = (-1, 3) and E = (3, -3)

Slope = -3-3/3-1

Slope = -6/2

Slope = -3

Slope of line CE is -3

From the calculation above, it can be seen that Slope of ΔABC = 1/2(slope of ΔCDE)

-3/2 = 1/2 (-3)

-3/2 = -3/2

Hence the correct option is A. The slope formed by ΔABC has a value that is 1/2 the slope formed by ΔCDE