Triangle congruence Quiz 1

Question 1

Sarika constructed two earrings of triangle shape such that in the earrings two angles are equal. The side lie between them is also equal. Are these triangles of the same shape and size?

Accepted Answer

Yes these triangles are congruent by ASA condition

Answer

No these triangles are not congruent since angles don’t decide congruence

Answer

Yes these triangles are congruent by SAS condition

Answer

The triangles are not congruent since no information is available about third side

Question 2

Suppose you have two triangles with you such that they have equal measurements of all sides. Are they congruent or similar?

Accepted Answer

The triangles are congruent as the sides are equal

Answer

The triangles are similar as we have no information about the angles

Answer

The triangles are neither similar not congruent

Answer

The triangles are similar as the sides are equal

Question 3

if you have two triangles such that $$\vartriangle ABC\cong \vartriangle DEF$$ and you know that $$AB=16cm$$ what can you say about DE?

Accepted Answer

Length of DE is 16cm

Answer

Length of DE cannot be measured

Answer

Length of DE is two times length of AB

Answer

Length of DE is 8cm

Question 4

Shyam wants to find the area of the science model, which represents a triangular park. He knows that the corresponding lengths of the triangles are in ratio $$1:1$$. Find the area of the park if the area of his model is $$48 sq.cm$$.

Accepted Answer

$$48c{{m}^{2}}$$

Answer

$$180c{{m}^{2}}$$

Answer

$$24c{{m}^{2}}$$

Answer

$$108{{m}^{2}}$$

Question 5

Suppose you have a triangle $$PQRS$$ is a point such that $$PS$$ is the angle bisector of $$\angle ~QPR$$. You know that $$	ext{PR}=8	ext{ units, PQ= 6 units and  QS =3units}	ext{.}$$  What do you think the length of $$SR$$ will be?

Accepted Answer

$$108c{{m}^{2}}$$

Answer

$$180c{{m}^{2}}$$

Answer

$$118c{{m}^{2}}$$

Answer

$$108{{m}^{2}}$$