Question

question 8
are these triangles congruent? if so, state the rule which you used to determine congruence.
aas
ssa
not congruent
asa

Explanation:

Step1: Recall Congruence Rules

• AAS (Angle - Angle - Side): Two angles and a non - included side are equal.
• SSA (Side - Side - Angle): Not a valid congruence rule in general (except for right - angled triangles).
• ASA (Angle - Side - Angle): Two angles and the included side are equal.

Step2: Analyze the Triangles

• In \(\triangle ABC\) and \(\triangle XYZ\), we have one angle equal (\(\angle A=\angle X\)), one side equal (marked sides \(AB = XY\)) and another side equal (marked sides \(BC=YZ\)). But this is SSA which is not a valid congruence rule.

Answer:

Not Congruent