Question

triangle klm undergoes a series of rigid motions and forms triangle xyz. what additional information is needed to prove the triangles are congruent by the side - side - side congruence theorem? o zx = 11 cm and zy = 7.5 cm o zx = 7.5 cm and zy = 5 cm o zx = 7.5 cm and zy = 11 cm o zx = 11 cm and zy = 5 cm

Explanation:

Step1: Recall SSS congruence theorem

The SSS (Side - Side - Side) congruence theorem states that if the three sides of one triangle are equal to the three corresponding sides of another triangle, then the two triangles are congruent.

Step2: Identify corresponding sides

In triangle $XLM$, the side lengths are $XL = 5$ cm, $LM=7.5$ cm, and $XM = 11$ cm. In triangle $XYZ$, we know $XY = 5$ cm. So we need $YZ=7.5$ cm and $ZX = 11$ cm to prove $\triangle XLM\cong\triangle XYZ$ by SSS.

Answer:

A. $ZX = 11$ cm and $ZY = 7.5$ cm