Question

Activity 1: Determine MeDetermine if the given pair of triangle is congruent. Justify your answer using triangle congruence postulate and theorem

Answer 1

1)

From the given two triangles ABC and DEF

angle B= angle E

side AB= side ED

side BC= side EF

By SAS criterion

If any two sides and the angle included between the sides of one triangle are equivalent to the corresponding two sides and the angle between the sides of the second triangle, then the two triangles are said to be congruent by SAS rule., triangles ABC and DEF are congruent.

2)

From the given triangles HJI and KLI

side HJ=side KL

side JI=side LI

side HI= side KI

By SSS criterion,

If the three sides of one triangle are equal to the three sides of another triangle, then the two triangles are congruent.

triangles HJI and KLI are congruent.