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1 vote
If ΔFGH ≅ ΔIJK, which segment is congruent to segment GH?

segment HF
segment JK
segment IJ
segment FG

User Budgw
by
6.2k points

1 Answer

6 votes

Answer:

Segment JK is congruent to segment to GH ⇒ 2nd answer

Explanation:

* Lets revise the meaning of congruent triangles

- When two triangles are congruent then they will have exactly the

same three sides and exactly the same three angles

- Congruent triangles have same areas and same perimeters

- Ex: If Δ ABC ≅ Δ XYZ, then their corresponding sides are congruent

and their corresponding angles are equal

side AB ≅ side XY , side BC ≅ side YZ , side AC ≅ side XZ

angle A ≅ angle X , angle B ≅ angle Y , angle C ≅ angle Z

* Lets solve the problem

∵ Δ FGH ≅ Δ IJK

- The corresponding sides are:

# FG and IJ

# GH and JK

# FH and IK

∵ The corresponding side of GH is JK

∵ The corresponding sides are congruent

∴ GH ≅ JK

Segment JK is congruent to segment to GH

User Abhijeetgurle
by
5.5k points