In proving the congruence of two triangles, which of the following is not important?

a

two sides and the included angles

b

two angles and a side

c

three sides

d

three angles

e

right angle, hypotenuse and another side

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b

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Michaelimumoren
2 years ago

Congruence of a Triangle: Two triangles are said to be congruent if all sides and angles are equal correspondings to the other triangle’s all sides and angles.
There are four ways in which a triangle can be proved or said congruent.
SSS (Side-Side-Side) Rule: It is when we are given that all the three sides of one triangle are equal to three sides of another triangle correspondingly.
SAS (Side-Angle-Side) Rule: It states that two sides and the angle included between those sides of one triangle are equal to two sides and the angle included between them of the other triangle.
ASA (Angle-Side-Angle) Rule: If the two angles and one side between them of one triangle is equal to the corresponding angles and side, the triangle is said to be congruent.
AAS (Angle-Angle-Side) Rule: It states that if two consecutive angles and one adjacent side of a triangle is equal to two consecutive angles and one adjacent side of another triangle.
Note: If corresponding angles (only) are equal, both triangles are said to be similar, that is the ratio of corresponding sides is equal .
So from the above-mentioned points, it becomes clear that being all three angles are equal is not a condition for the congruence of two triangles.
Therefore the answer is D

Tim234D
11 months ago

Greetings, The Myschool Team.
The correct answer is D(three angles) and not B(two angles and a side). @Freshmen has already done justice to this. Please the necessary corrections should be made. Thank you.

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