Similarity and congruence Quiz

1. Which is NOT a valid condition for congruent triangles?

• A. SSS
• B. SAS
• C. AAA
• D. RHS

2. Two similar shapes have scale factor $3$. The smaller has area $5$ cm$^2$. Find the larger area.

• A. $15$ cm$^2$
• B. $27$ cm$^2$
• C. $8$ cm$^2$
• D. $45$ cm$^2$

3. A solid has volume $10$ cm$^3$. It is enlarged with scale factor $2$. Find the new volume.

• A. $80$ cm$^3$
• B. $40$ cm$^3$
• C. $20$ cm$^3$
• D. $100$ cm$^3$

4. A model is made to a scale of $1:50$. A building is $12$ m tall. Find the height of the model.

• A. $6$ cm
• B. $2.4$ cm
• C. $24$ cm
• D. $600$ cm

5. Two similar triangles: a side of $6$ in the smaller matches $9$ in the larger. Another side of the smaller is $8$. Find the matching side in the larger.

• A. $11$
• B. $12$
• C. $10.7$
• D. $5.3$