Question

Plzzzzzzzz help I don’t understand

Answer 1

Explanation:

Alright we need to prove that both the triangles are similar so lets get started

The slope formula is:

Slope = Change in y / Change in x

m = Δy / Δx

`m=(y_2-y_1)/(x_2-x_1) \\\\`

Where, m is the slope and
`(x_1,y_1) , (x_2,y_2)\\` are any points on the line

In this graph we are given three points which are

(0 , 2) , ( 6 , 6) and (9 , 8)

So for our first triangle we use the 2 points (0 , 2) and (6 ,6) and calculate the slope,

`m=(y_2-y_1)/(x_2-x_1)\\\\m=(6-2)/(6-0)\\\\m=4/6\\\\m=2/3\\`

So the slope turns out to be 2/3 , Now for our second triangle use the 2 points (6 , 6) and (9 , 8)

`m=(y_2-y_1)/(x_2-x_1)\\\\m=(8-6)/(9-6)\\\\m=2/3\\`

So we can see the the slope's are equal that's the answer to your first part.

Second part

Yes they are similar due to the property of corresponding angles where angle x of the first triangle equals angle x for the second triangle and angle y for the first triangle equals angle y for the second triangle and both the triangles have 90° se they are similar because all three angles are similar. (AAA = angle angle angle property) I have attached a to make you understand it better.

Answer 2

Slope formula: y2-y1/x2-x1

Explanation:

8-6/9-6= 2/0