Question

NEED HELP!!!

Which triangle defined by the given points on the coordinate plane is similar to the triangle illustrated?
(-3,-3), (-3, 4), (4, -3)
B) (-3,-3). (-3,5),(4, -3)
(-3,-3). (-3, 4), (3,-3)
(-3,-3), (-3,5), (3, -3)

Answer 1

We will choose option D.

Explanation:

In the given diagram the shown right triangle has Base = 3 units, Perpendicular = 4 and the Hypotenuse = 5 units,

Now, in option A.

The vertices of the triangle are (-3,-3), (-3,4) and (4,-3).

Hence, the side lengths of the triangle are 7 units, 7 units, and 7√2 units.

So, it is not similar to the graphed triangle.

{Since, the ratio of corresponding sides of the similar triangles are the same}

Now, in option B.

The vertices of the triangle are (-3,-3), (-3,5) and (4,-3).

Hence, the side lengths of the triangle are 7 units, 8 units, and 10.63 units.

So, it is not similar to the graphed triangle.

Now, in option C.

The vertices of the triangle are (-3,-3), (-3,4) and (3,-3).

Hence, the side lengths of the triangle are 6 units, 7 units, and 9.21 units.

So, it is not similar to the graphed triangle.

Now, in option D.

The vertices of the triangle are (-3,-3), (-3,5) and (3,-3).

Hence, the side lengths of the triangle are 6 units, 8 units, and 10 units.

So, it is similar to the graphed triangle.

This is because the ratio of the corresponding sides of the given triangle and the graphed triangle are same and it is 2.(Answer)