**24**. A triangle *can* be constructed by taking its sides as

- (A) 1.8 cm, 2.6 cm, 4.4 cm
- (B) 2 cm, 3 cm, 4 cm
- (C) 2.4 cm, 2.4 cm, 6.4 cm
- (D) 3.2 cm, 2.3 cm, 5.5 cm

**23**. Choose the correct option in which a triangle *cannot* be constructed with the given lengths of sides.

- (A) 3 cm, 4 cm, 5 cm
- (B) 7 cm, 6 cm, 5 cm
- (C) 10 cm, 7 cm, 2 cm
- (D) 12 cm, 8 cm, 6 cm

**22**. A triangle can be constructed by taking two of its angles as

- (A) 110°, 40°
- (B) 70°, 115°
- (C) 135°, 45°
- (D) 90°, 90°

**21**. In which of the following cases, a unique triangle can be drawn?

- (A)
*AB*= 4 cm,*BC*= 8 cm and*CA*= 2 cm - (B)
*BC*= 5.2 cm, ∠*B*= 90° and ∠*C*= 110° - (C)
*XY*= 5 cm, ∠*X*= 45° and ∠*Y*= 60° - (D) An isosceles triangle with the length of each equal side 6.2 cm

**20**. Suppose in ∆*PQR*, *QR* = 4.2 cm, ∠*Q* = 120° and *PQ* = 3.5 cm. If *PM* ⊥ *QR*, then which of the following is true?

- (A)
*PM*lies to the right of*PQ* - (B)
*PM*lies to the left of*PQ* - (C)
*PM*lies inside to the ∆*PQR* - (D)
*PM*lies to the right of*PQ*and inside to the ∆*PQR*

**19**. Consider a line *AB* and take a point *C* outside it. We can draw a line parallel to *AB* using

- (A) Ruler only
- (B) Compass only
- (C) Ruler and compasses only
- (D) Ruler, divider and compasses only

**18**. Which among the following information is enough to construct a triangle?

- (A) The lengths of the sides is given
- (B) The perimeter of the triangle is given
- (C) The measures of three angles is given
- (D) The names of three vertices is given

**17**. In which of the following cases can a triangle be constructed?

- (A) Measures of three sides are given
- (B) Measures of two sides and the included angle are given
- (C) Measures of two angles and the included side are given
- (D) All the above

**16**. When an equilateral triangle *PQR* of sides 5.5 cm is constructed, which among the following is correct?

- (A) ∠
*P*+ ∠*R*= 110° - (B) ∠
*P*+ ∠*R*> 110° - (C) ∠
*P*+ ∠*R*= 120° - (D) ∠
*P*+ ∠*R*< 110°

**15**. A sign board of shape like an isosceles triangle is made. If the unequal side is 7 cm and one of the equal sides is 6 cm. What is the measure of the third side?

- (A) 5 cm
- (B) 6 cm
- (C) 7 cm
- (D) > 7 cm

**14**. Construction of a right-angled triangle is based on

- (A) SSS criterion
- (B) SAS criterion
- (C) ASA criterion
- (D) RHS criterion

**13**. Adrija folds a sheet of paper. The dotted lines as shown in the figure are the creases formed, which are

named as *l*, *m* and *n*. Which among the following is true?

- (A)
*l*||*n*and*l*⊥*m* - (B)
*l*||*m*and*l*⊥*n* - (C)
*l*||*n*and*l*||*m* - (D)
*l*⊥*n*and*l*⊥*m*

Presented Impressively!

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