what additional information could be used to prove that the triangles are congruent using aas? select two…
what additional information could be used to prove that the triangles are congruent using aas? select two options. \n∠c≅∠q\ncb≅qm\nac = 3.9cm and rq = 3.9cm\nm∠c = 35° and m∠q = 35°\nab = 2.5cm and mq = 2.5cm
Answer
Explanation:
Step1: Recall AAS congruence criterion
AAS (Angle - Angle - Side) requires two pairs of corresponding angles and a non - included side to be congruent. In the given triangles, we already have two pairs of corresponding angles ($\angle A=\angle R = 29^{\circ}$ and $\angle B=\angle M=116^{\circ}$).
Step2: Analyze side - angle conditions
We need either a non - included side to be congruent or another pair of corresponding angles to be congruent.
- For the side condition, the non - included sides are $CB$ and $QM$. If $\overline{CB}\cong\overline{QM}$, we can use AAS.
- For the angle condition, if $\angle C\cong\angle Q$ (which is equivalent to $m\angle C = m\angle Q$), we can use AAS.
Answer:
$\angle C\cong\angle Q$, $\overline{CB}\cong\overline{QM}$