Question

Ava wants to know the distance JK across a pond. She locates points as shown. She says that the distance

across the pond must be 159 ft by the SSS Triangle Congruence Theorem. Complete the explanation of
the error.
210 ft
190 ft
159 ft
190 ft
M
210 ft
K
ft, but the justification should be the
The distance across the pond is
(select)
U

Answer 1

The answer is below

Explanation:

Ava wants to know the distance JK across a pond. She locates points as shown. She says that the distance across the pond must be 160 ft by the SSS Triangle Congruence Theorem.

Solution:

Two triangles are said to be congruent if they their three sides are equal and their three angles are equal.

From the image attached we can say that triangle LMN and triangle JNK are congruent since they have they share the same angle (∠N) and both of their sides are equal. This is the side, angle, side (SAS) congruence theorem.

Hence since they are congruent, JK = 160 feet by the SAS triangle congruence theorem.