Congruent figures practice

Answer 1

Sure! Here are a few practice problems for congruent figures:

1. In the given figure below, AB is congruent to DE and BC is congruent to EF. Are the triangles ABC and DEF congruent? If yes, state the congruency criteria.

```
A
/ \
/ \
/_____\
B C

D
/ \
/ \
/_____\
E F
```

2. In the given figure below, AB is congruent to DE, BC is congruent to EF, and CD is congruent to FG. Are the triangles ABC and DEF congruent? If yes, state the congruency criteria.

```
A
/ \
/ \
/______\
B C

D
/ \
/ \
/______\
E F

G
/ \
/ \
/______\
H I
```

3. In the given figure below, AD is congruent to DE, DB is congruent to EC, and CE is congruent to AF. Are the triangles ABD and DEF congruent? If yes, state the congruency criteria.

```
A
/ \
/ \
/ x \
B-------C

D---------E
/ y /
/ /
/ z /
-------G
```

Answers:
1. Yes, the triangles ABC and DEF are congruent. The congruency criteria is Side-Side-Side (SSS).
2. Yes, the triangles ABC and DEF are congruent. The congruency criteria is Side-Side-Side (SSS).
3. No, the triangles ABD and DEF are not congruent. Although some sides are congruent, all three sides must be congruent for the triangles to be congruent according to the Side-Side-Side (SSS) congruency criteria.