Question

Complete the similarity statement relating the three triangles in the diagram. Show work.

Answer 1

`\Delta JKM\approx\Delta MKL\approx\Delta JML`

Step-by-step explanation:

There are three right angled triangles are in the diagram of three different sizes.

Identify the right angles.

In the first triangle, the right angle is angle M. In the second one, the right angle is angle K and in the third triangle, it is angle K.

Now, identify the shortest sides of each.

The shortest side in the first triangle is MJ, in the second triangle, it is JK and in the third triangle, it is MK.

In the given triangle JKM, notice that JK is the shortest side and angle K is the right angle. Write the other two tringles also in the similar form with the first two letters gives the short side and middle letter represents the right angle.

So, the similarity statement is

`\Delta JKM\approx\Delta MKL\approx\Delta JML`