Question

(need help I don't understand)

For each figure below, determine (by using the markings) if there is a pair of congruent triangles. If there is, name the congruence and give the property justifying the congruence.
Note that the pairs of triangles are drawn as congruent, but you should not rely on how they are drawn in determining your answers.

If necessary, you may learn what the markings on a figure indicate.

Answer 1

Answer: SSS, SAS, not congruent

Step-by-step explanation: Δ ABC ≅ Δ FDE by the SSS, three congruent sides

AC ≅ FD, AB ≅ FD, CB ≅ ED

Q2

ΔGHI ≅ Δ LJK by the SAS, two congruent sides and the included angle

IH ≅ KJ, GH ≅ LJ, ∠H ≅ ∠J

Q3

Not necessarily congruent. The triangles have two congruent sides but the angles are different. Angles M and Q are not congruent.

Answer 2

• SSS, SAS, not congruent

Explanation:

Q1

• Δ ABC ≅ Δ FDE by the SSS, three congruent sides
• AC ≅ FD, AB ≅ FD, CB ≅ ED

Q2

• ΔGHI ≅ Δ LJK by the SAS, two congruent sides and the included angle
• IH ≅ KJ, GH ≅ LJ, ∠H ≅ ∠J

Q3

• Not necessarily congruent. The triangles have two congruent sides but the angles are different. Angles M and Q are not congruent.