Question

question 4 of 10
based on the information marked in the diagram, \\( \triangle lmo \\) and \\( \triangle fgh \\) must be congruent.
a. true
b. false

Explanation:

Step1: Analyze congruent triangle conditions

For two right - angled triangles (both have a right - angle as marked), to be congruent, we need information about side lengths or other angles. But the given diagram only shows that they are right - angled and have one equal acute angle (the non - right angle at \(L\) and \(F\)).

Step2: Check for sufficient congruence criteria

The congruence criteria for right - angled triangles are \(HL\) (Hypotenuse - Leg), \(SAS\) (Side - Angle - Side), \(ASA\) (Angle - Side - Angle), \(AAS\) (Angle - Angle - Side). Here, we don't have information about the lengths of any corresponding sides. Just having one equal acute angle and a right - angle is not enough to satisfy any of the congruence criteria.

Answer:

B. False