Question

Triangle ABC and triangle CDE are similar right triangles. Which proportion can be used to show that the slope of AC is equal to the slope of CE?

A) 0 − 2 / 3 − 0 = 2 − 4 / 6 − 3

B) 2 − 0 / 3 − 0 = 4 − 2 / 6 − 3

C) 2 − 0 / 3 − 0 = 4 − 2 / 3 − 6

D) 2 − 0 / 0 − 3 = 4 − 2 / 6 − 3

Answer 1

Answer:B

Step-by-step explanation: The formula is y2-y1/x2-x1. If you apply that formula to the question, you get B.

Oh, also I took the test.

Hope I helped!

Answer 2

Answer: B)
`(2-0)/(3-0)=(4-2)/(6-3)`

Explanation:

1. You can calculate the slope by applying the following formula:

`m=(y_(2).y_(1))/(x_(2)-x_(1))`

2. The point A is (0,0) and the point C is (3,2).

Where:

`y_(2)=2\\y_(1)=0\\x_(2)=3\\x_(1)=0`

3. The point C is (3,2) and the point E is (6,4).

Where:

`y_(2)=4\\y_(1)=2\\x_(2)=6\\x_(1)=3`

4. Then, you have:

`(2-0)/(3-0)=(4-2)/(6-3)`

`(2)/(3)=(2)/(3)`

5. Therefore, the slope of AC is equal of the slope CE.