Question

From the diagram below, we can tell that ___.

Answer 1

Answer: b. the two triangles are similar by SAS

Explanation:

These two triangles (ABC and ADE) both share angle A. This means that one angle is congruent.

Next, we will look at the sides. Triangle ADE has side lengths of 6, 9, and x. Triangle ABC has side lengths of 8+6, 12+9, y. Let us see how these side lengths compare.

`(8+6)/(12+9) =(14)/(21) =0.6666`

`(6)/(9) = 0.6666`

THey are similar. This means the triangles can be prooven similar with SAS.