Question

PLEASE HELP ME WITH THIS!!!!!!​

Answer 1

Answer:

$\boxed{\pink{\bf Yes \ \angle L = \angle O . }}$

Step-by-step explanation:

A figure is given to us in which ML = MO . And we have to Prove ∆ MLN $\cong$ ∆ MON .

Hence here , in ∆ MLN & ∆ MON ,

• ML = MO ( given )
• ∠LMN = ∠MON ( Given )
• MN = MN ( Common)

Hence by SAS congruence condition

$\boxed{\red{\bf \triangle MLN \cong \triangle MON}}$

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(ii) Yes ∠ L = ∠ O will be equal to each other .( by cpctc )

Extra Information :-

The congruence conditions for two ∆s are :-

1) SAS ( Side Angle Side )

→ Two triangles are said to be congruent by SAS if two respective sides of the two triangles and the included angle between two sides are equal.

2) AAS ( Angle Angle Side )

→ Two triangles are said to be congruent by AAS if two angles and one side of triangle is congruent to other two angles and one side of the triangle .

3) SSS ( Side Side Side )

→ Two triangles are said to be congruent by SAS if all the three sides of one triangle is equal to three sides of the other triangle.

4) RHS ( Right Hypotenuse Side )

→ In two right-angled triangles, if the length of the hypotenuse and one side of one triangle, is equal to the length of the hypotenuse and corresponding side of the other triangle, then the two triangles are congruent.