1. Given that MN∥QR and ∠M≅∠Q, are there any similar triangles? If so, name the triangles.
A. Yes, △MNP∼△QRP by the AA similarity criterion.
B. Yes, △MNP∼△RQP by the SAS similarity criterion.
C. Yes, △MNP∼△QRP by the SSS similarity criterion.
D. There are no similar triangles.
E.
2. Given that ∠ABC=∠ACD, are there any similar triangles? If so, name the triangles.
A. Yes, △ABC∼△ACD by the AA similarity criterion.
B. There are no similar triangles.
C. Yes, △DCB∼△ACD by the AA similarity criterion.
D. Yes, △ABC∼△ACD by the SAS similarity criterion.
3. Which of the following cannot be used to prove that two triangles are similar?
A. SAS similarity criterion
B. SSS similarity criterion
C. SS similarity criterion
D. AA similarity criterion
4. Name all triangles that are similar to △ABC. Then find the length of AD if BC=5 and AC=4.
A. △ABC∼△DBA and △ABC∼△DAC; AD=2.4
B. △ABC∼△DBA; AD=2.4
C. △ABC∼△DAC; AD=2.4
D. △ABC∼△DBA and △ABC∼△DAC; AD=3.75
5. Given rectangle EFGH, name all triangles that are similar to △EOH.
A. △HOG
B. △EHG, △HOG, △GFE
C. △EHG, △GFE
D. △EHG, △HOG
1. A. Yes, △MNP∼△QRP by the AA similarity criterion.
2. A. Yes, △ABC∼△ACD by the AA similarity criterion.
3. C. SS similarity criterion
4. A. △ABC∼△DBA and △ABC∼△DAC; AD=2.4
5. D. △EHG, △HOG