Criteria for which Triangles are not Congruence

Q. If the corresponding interior angles of two triangles are equal, then both the triangles must be congruent.

1. True
2. False

Q. Two triangles have same corresponding angles, i.e., ${30}^o,{60}^o$ and ${90}^o$ in that order. Take an example and determine if they congruent triangles?

1. Yes
2. No

Q. Dimensions of two sides and one angle are provided. Two triangles are drawn using this information. Will these triangles always be congruent? Answer in Yes/No.

Q. Which among the following is not a valid congruency?

1. SSS
2. SAS
3. AAS
4. ASS

Q. A triangular-shaped park is to be constructed in a middle of a city with dimensions of approximately 1 kilometer, 1.6 kilometers and 40°. Will any triangle with the given dimensions be identical in shape and size? Answer in Yes/No.

Q.
If both quadilaterals $ABCD$ and $PQRS$ given in the diagram above have same side length, then $ABCD$ and $PQRS$ are congruent.

1. True
2. False

Q. <!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> Choose the combination(s) that fail(s) as criteria for congruency of triangles where A denotes Angle and S denotes Side.

1. ASA
2. SAS
3. ASS
4. SAA

Q. Given two triangles $\Delta ABC$ and $\Delta DEF$ such: $BC=6\text{cm},AC=4\text{cm},m\angle B={35}^{\circ },$
$EF=6\text{cm},DF=4\text{cm},m\angle E={35}^{\circ }$, then $\Delta ABC\cong \Delta DEF$

1. True.
2. False

Q. A right-angled playing ground is to be constructed with other interior angles as ${30}^o$ and ${60}^o.$ Is this information sufficient for the construction concerning the outline of the playground?

1. No, only two dimenisons are provided which is insufficient to determine the shape and size of the area.
2. Yes, only three dimenisons are required to determine the shape and size of the area.
3. No, the area can be of any size with the given information.