A triangle can be constructed by taking its sides as.

1

(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

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

1

(a)

110°, 40°

(b)

70°,115°

(c)

135°, 45°

(d)

90°,90°

Which of the following sets of triangles could be the lengths of the sides of a right angled triangle?

1

(a)

3 cm, 4 cm, 6 cm

(b)

9 cm, 16 cm, 26 cm

(c)

1.5 cm, 3.6 cm, 3.9 cm

(d)

7 cm, 24 cm, 26 cm

In which of the following cases, a triangle can be drawn?

1

(a)

AB= 4 cm, BC= 8 cm and CA= 2 cm

(b)

BC= 5.2 cm, \(\angle B=90^0\) and \(\angle C=110^0\)

(c)

XY = 5 cm,\(\angle X=45^0\)and \(\angle Y=60^0\)

(d)

An isosceles triangle with the length of each equal side 6.2 cm.

In the given constructed figure, the length of segment AC is equal to

1

(a)

7 cm

(b)

14 cm

(c)

1 cm

(d)

5 cm

The angle bisector of an angle, divide the angle in two__________angles.

1

(a)

equal

A triangle can be constructed only if the sum of its any two sides is_________than the third side.

1

(a)

greater

If AB = 6 cm and BC = 6 cm are given, then this type of triangle is called_______.

1

(a)

isosceles triangle

The angle made by perpendicular bisector of line is equal to__________.

1

(a)

90⁰

If a line segment AB = 6 cm. Then, the line bisector divide it in two parts, measure_________.

1

(a)

\(\frac{6}{2}=3 cm\)

We can draw exactly one triangle whose angles are 70°, 30° and 80°.

1

(a) True

(b) False

The distance between the two parallel lines is the same everywhere.

1

(a) False

(b) True

The angle made by angle bisector is always half of the angle.

1

(a) False

(b) True

In a right angled triangle, the square of hypotenuse is greater than the sum of square of base and perpendicular length.

1

(a) True

(b) False

A right angled triangle can be constructed, if the given angles are 90°, 60° and 70°.

1

(a) True

(b) False

A line segment AB = 6 cm, if a perpendicular bisector constructed on it. Find the length of two parts.

2

(a)

PQ is a given line. If RS and TV are parallel to PQ and are drawn on either side of PQ. Then, check if RS and TU are parallel to each other also.

2

(a)

In the following construction figure, is BX II B' Y?

2

(a)

Draw a triangle whose sides are of lengths 4 cm, 5 cm and 7 cm.

2

(a)

Construct an obtuse angled triangle, which has a base of 5.5 cm and base angles of 30° and 120°.

2

(a)

Can you slightly modify the construction of a line parallel to a given line through a point not on the line to use the idea of equal corresponding angles instead of equal alternate angles?

3

(a)

Examine whether you can construct ΔDEF such that EF = 7. 2 cm, mㄥE = 110° and mㄥF = 80°. Justify your answer.

3

(a)

In the following constructed figure, find the value of \(\angle X.\)

3

(a)

In the following constructed figure, find the value of \(\angle m.\)

3

(a)

Construct a triangle ABC when AB = 5.5 cm, BC = 4.5 cm and \(\angle\)B = 60°.

3

(a)

Construct the right angled ΔPQR, where mㄥQ = 90°, QR = 8 cm and PR = 10 cm.

5

(a)

Construct a right angled triangle whose hypotenuse is 6 cm long and one of the legs is 4 cm long.

5

(a)