Question

I'm confused about this question can someone help me please.

Answer 1

1. True

2.False.

3. True.

4. True.

5. True.

Step-by -step explanation:

See the diagram of triangles attached to this question.

Now,

Statement 1: Triangle ABC and triangle ADE are similar. This is true.

Since BC and DE are two vertical lines and are parallel to each other. Hence, all three angles of Δ ABC and Δ ADE are the same.

Statement 2:
`(y)/(x) = (m)/(2)` is false as
`(y)/(x) = m` is true.

Statement 3: The hypotenuse of the triangle ABC has the same slope as the hypotenuse of the triangle ADE. This is also a true statement.

Since, slope of AE = slope of AC and
`(y)/(x) = m` is true.

Statement 4: Slope of the line AE is m. This statement is also true.

Since,
`(y)/(x) = m` is true.

Statement 5: The equation of the line AE is y = mx. This is true.

As the line has slope = m and it passes through origin O(0,0). (Answer)