# Worksheet: Similarity and Congruence of Figures

In this worksheet, we will practice differentiating between similar and congruent two-dimensional figures.

**Q2: **

Complete the sentence: These figures are .

- Aneither similar nor congruent
- Bcongruent
- Csimilar but not congruent

**Q3: **

Complete the sentence: These figures are .

- Aneither similar nor congruent
- Bsimilar but not congruent
- Ccongruent

**Q4: **

Complete the sentence: These figures are .

- Asimilar but not congruent
- Bcongruent
- Cneither similar nor congruent

**Q5: **

Which two figures are congruent?

- A b and c
- B a and b
- C a and c

**Q6: **

Consider three polygons: , , and . If and are both similar to , what can you say about polygons and ?

- AThey are not congruent.
- BThey are not similar.
- CThey must be congruent.
- DThey are similar.

**Q7: **

If two triangles are similar and, additionally, the ratio between the lengths of two corresponding sides is , what can you say about the triangles?

- AThey have different areas.
- BThey are not congruent.
- CThey are congruent.

**Q8: **

Consider two congruent rectangles and . Which line in corresponds to ?

- A
- B
- C

**Q10: **

Adel has a picture frame that is 18 by 24 inches. If he has another frame congruent to the first one, and one of its sides is 24 inches long, determine the length of the other side.

**Q11: **

Any two triangles are similar if the lengths of their corresponding sides are .

- Acongruent
- Bequal
- Cnot proportional
- Dproportional

**Q12: **

Complete the sentence: These figures are .

- Acongruent
- Bsimilar but not congruent
- Cneither similar nor congruent

**Q13: **

Which two shapes are congruent?

- A b and c
- B a and b
- C a and c

**Q14: **

Given that all the triangles in this pattern are congruent, find the length of the base of a blue triangle and then determine its height.

- Abase length , height
- Bbase length , height
- Cbase length , height
- Dbase length , height
- Ebase length , height