**Q1: **

Which of the following statements will be true for two triangles that are congruent?

- AThere will be only rotation that could be used to map one triangle onto the other.
- BThere will be only reflection that could be used to map one triangle onto the other.
- CThere will always exist a combination of translations, reflections, and rotations that could be used to map one triangle onto the other.
- DThere will be only translation that could be used to map one triangle onto the other.
- EThere will always exist a combination of translations, reflections, rotations, and dilations that could be used to map one triangle onto the other.

**Q2: **

Two triangles share two sides and a contained angle. Would the two triangles be congruent?

- Ayes
- Bno

**Q3: **

In the given figure, triangle and triangle have two equal sides and share one equal angle. Are triangles and congruent?

- Ano
- Byes

**Q4: **

Determine whether the triangles in the given figure are congruent, and, if they are, state which of the congruence criteria proves this.

- Anot congruent
- Bcongruent,
- Ccongruent,
- Dcongruent,

**Q5: **

Determine whether the triangles in the given figure are congruent by applying , , or . If they are congruent, state which of the congruence criteria proves this.

- Ano
- Byes,
- Cyes,
- Dyes,

**Q6: **

Can you use to prove the triangles in the given figure are congruent? Please state your reason.

- Ano, because the angle must be contained between the two sides
- Byes, because there are two pairs of corresponding sides equal in length and one pair of equal angles

**Q7: **

Determine whether the triangles in the given figure are congruent, and, if they are, state which of the congruence criteria proves this.

- Anot congruent
- Bcongruent,
- Ccongruent,
- Dcongruent,

**Q8: **

Which congruence criteria can be used to prove that the two triangles in the given figure are congruent?

- ASSS
- BASA
- CSAS

**Q9: **

Which congruence criteria can be used to prove that the two triangles in the given figure are congruent?

- A
- B
- C

**Q10: **

Given that is the midpoint of in the given figure, without referencing angles, which congruence criteria could you use to prove triangles and are congruent?

- A
- B
- C

**Q11: **

In the given quadrilateral, and have the same length and and have the same length.

Which angle has the same measure as ?

- A
- B
- C
- D
- E

Hence, are the triangles and congruent? If yes, state which congruence criteria proves this.

- Ano
- Byes, SAS
- Cyes, ASA
- Dyes, SSS

**Q12: **

The given figure shows an isosceles triangle, where is the midpoint of .

Can we prove that triangle and triangle are congruent? If yes, state which congruence criteria could be used.

- Ayes,
- Byes,
- Cyes,
- Dno

Hence, what can we conclude about the angles and ?

- AWe cannot conclude anything, because we need more information.
- BThe angle is bigger than the angle , because the two triangles are congruent.
- CThe angles have the same measure, because the triangles are congruent
- DThe angle is bigger than the angle , because the two triangles are congruent.
- EThe angles have different measure, because the two triangles are different measure.

**Q13: **

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 rotated onto triangle and, thus, the triangles are congruent.
- CTriangle can be translated onto triangle and, thus, the triangles are congruent.
- DNo sequence of translations, reflections, or rotations exists that can map triangle onto triangle and, therefore, the two triangles cannot be congruent.

**Q14: **

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 reflected onto triangle and, thus, the triangles are congruent.
- CTriangle can be translated onto triangle and, thus, the triangles are congruent.
- DNo sequence of translations, reflections, or rotations exists that can map triangle onto triangle and, therefore, the two triangles cannot be congruent.

**Q15: **

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 reflected onto triangle and, thus, the triangles are congruent.
- CTriangle can be translated onto triangle and, thus, the triangles are congruent.
- DNo sequence of translations, reflections, or rotations exists that can map triangle onto triangle and, therefore, the two triangles cannot be congruent.

**Q16: **

From the following figure, what can we conclude about a possible Side-Side-Angle (SSA) congruence criterion?

- AThere is nothing we can conclude.
- BSSA is the same as SSA.
- CSSA is not a valid congruence criterion.
- DSSA is a criterion that works sometimes.
- ESSA is a valid congruence criterion.

**Q17: **

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.

**Q18: **

The figure shows triangles and .

Are the two triangles congruent?

- Ano
- Byes

Justify your answer with one of the following reasons.

- ATriangle can be rotated to obtain triangle and, thus, the triangles are congruent.
- BNo sequence of translations, reflections, or rotations exists that can map triangle onto triangle and, therefore, the two triangles cannot be congruent.
- CWe can apply a two-stage transformation on triangle involving a translation and then a rotation to obtain triangle and, thus, the triangles are congruent.
- DWe can apply a two-stage transformation on triangle involving a reflection and then a translation to obtain triangle and, thus, the triangles are congruent.