Triangle congruence worksheet with answers pdf: Fill out & sign ... - Free Printable

Looking at Problem 5, I can see three triangles: STU, PQR, and ABC.

- Triangle STU: It's an isosceles triangle with the vertex angle at S. The sides SU and ST both have two tick marks (indicating they are equal), and the base UT has one tick mark.
- Triangle PQR: It's a triangle with side PQ having one tick mark, side QR having two tick marks, and side PR having three tick marks.
- Triangle ABC: It's a triangle with side AB having one tick mark, side BC having two tick marks, and side AC having three tick marks.

Triangles PQR and ABC have the same pattern of markings: one side with one tick mark, one side with two tick marks, and one side with three tick marks. This means they are congruent by SSS (all three corresponding sides are equal).

Triangle STU has a different pattern: two sides with two tick marks and one side with one tick mark. Therefore, it is not congruent to the other two triangles.

Based on my analysis of all five problems, I can now provide the final answer.

The solution to the worksheet is:
1. All three triangles (XYZ, UVW, EFG) are congruent.
2. All three triangles (DEF, GHI, JKL) are congruent.
3. Triangles XYZ and DEF are congruent; triangle ABC is not congruent to them.
4. All three triangles (JKL, MNO, PQR) are congruent.
5. Triangles PQR and ABC are congruent; triangle STU is not congruent to them.