**Q1: **

If triangle is mapped by a reflection in the line to triangle , would the two triangles be congruent?

- A yes
- B no

**Q2: **

If triangle is mapped by a rotation about the origin to triangle , would the two triangles be congruent?

- A yes
- B no

**Q3: **

Determine, by applying transformations, whether the two triangles seen in the given figure are congruent.

- A They are congruent.
- B They are not congruent.

**Q4: **

Determine, by applying transformations, whether the two triangles seen in the given figure are congruent.

- A They are not congruent.
- B They are congruent.

**Q5: **

Determine, by applying transformations, whether the two triangles seen in the given figure are congruent.

- A They are congruent.
- B They are not congruent.

**Q6: **

- A They are congruent.
- B They are not congruent.

**Q7: **

In the given figure, a reflection in the line would map triangle to triangle . Does it follow that the two triangles congruent?

- A yes
- B no

**Q8: **

A triangle has been dilated from a center by a scale factor of 3 to triangle .

Are triangles and similar?

- Ayes
- Bno

Are triangles and congruent?

- Ano
- Byes

**Q9: **

A triangle is rotated by about the origin to triangle .

Are triangles and similar?

- Ayes
- Bno

Are triangles and congruent?

- Ayes
- Bno

**Q10: **

The figure shows triangles and .

Are the two triangles congruent?

- Ayes
- Bno

Justify your answer with one of the following reasons.

- ATriangle can be reflected onto triangle and, thus, the triangles are congruent.
- BTriangle can be translated onto triangle and, thus, the triangles are congruent.
- CNo sequence of translations, reflections, or rotations exists that can map triangle onto triangle and, therefore, the two triangles cannot be congruent.
- DTriangle can be rotated onto triangle and, thus, the triangles are congruent.

**Q11: **

The figure shows triangles and .

Are the two triangles congruent?

- Ayes
- Bno

Justify your answer with one of the following reasons.

- ATriangle can be rotated onto triangle and, thus, the triangles are congruent.
- BTriangle can be translated onto triangle and, thus, the triangles are congruent.
- CNo sequence of translations, reflections, or rotations exists that can map triangle onto triangle and, therefore, the two triangles cannot be congruent.
- DTriangle can be reflected onto triangle and, thus, the triangles are congruent.

**Q12: **

The two triangles in the given figure share the measures of two angles and the length of one side. Does a rigid transformation exist that would map triangle to triangle , and, hence, are the two triangles congruent?

- A yes
- B no

**Q13: **

The triangle has been transformed onto triangle which has then been transformed onto triangle as seen in the figure.

Describe the single transformation that would map onto .

- Aa translation two left and three up
- Ba translation three right and two down
- Ca translation two right and three up
- Da translation two right and three down
- Ea translation two left and three down

Describe the single transformation that would map onto .

- Aa reflection in the line
- Ba rotation of clockwise about point
- Ca translation one right and four down
- Da translation four right and one down
- Ea rotation of counterclockwise about point

Hence, are triangles and congruent?

- Ano
- Byes

**Q14: **

The triangle has been transformed onto triangle which has then been transformed onto triangle as seen in the figure.

Describe the single transformation that would map onto .

- Aa translation three left and two down
- Ba translation two right and three up
- Ca translation three left and two up
- Da translation three right and two up
- Ea translation three right and two down

Describe the single transformation that would map onto .

- Aa reflection in the line
- Ba translation four right
- Ca rotation of clockwise about
- Da rotation of counterclockwise about
- Ea rotation of counterclockwise about

Hence, are triangles and congruent?

- Ano
- Byes

**Q15: **

The triangle has been transformed onto triangle which has then been transformed onto triangle as seen in the figure.

Describe the single transformation that would map to .

- Aa rotation of about
- Ba rotation of about
- Ca rotation of clockwise about point
- Da reflection in the line
- Ea rotation of clockwise about point

Describe the single transformation that would map to .

- Aa rotation of clockwise about point
- Ba rotation of clockwise about point
- Ca translation two right
- Da rotation of counterclockwise about point
- Ea rotation of counterclockwise about point

Hence, are triangles and congruent?

- Ano
- Byes

**Q16: **

The triangle has been transformed onto triangle which has then been transformed onto triangle then transformed onto as seen in the figure.

Describe the single transformation that would map onto .

- Aa counterclockwise rotation about
- Ba clockwise rotation about
- Ca clockwise rotation about
- Da counterclockwise rotation about
- Ea translation one left and three up

Describe the single transformation that would map onto .

- Aa reflection in the line
- Ba translation two up
- Ca clockwise rotation about
- Da clockwise rotation about
- Ea rotation about

Describe the single transformation that would map onto .

- Aa translation three left and two down
- Ba translation two left and three up
- Ca translation three left and two up
- Da translation three right and two down
- Ea translation two right and three down

Hence, are triangles and congruent?

- Ano
- Byes