Definition of Triangle

Q.

Which of the following is not a criterion for congruence of triangles?

1. SAS

2. ASA

3. SSA

4. SSS

Q. __________ is a closed two dimensional figure bounded by three line segments.

1. Circle
2. Square
3. Triangle
4. Line

Q. The sum of interior angles of a triangle is always _______.

1. ${180}^{\circ }$
2. ${270}^{\circ }$
3. ${360}^{\circ }$
4. ${90}^{\circ }$

Q.

A triangle can have two:

1. Acute angles

2. Obtuse angles

3. Right angles

4. Straight angles

Q.

In $\Delta$ PQR PQ = 4 cm, QR = 7 cm and PR = 5 cm, then the largest angle of the triangle is:

1. $\angle$Q

2. $Noneofthese$

3. $\angle$P

4. $\angle$R

Q.

Question 4: Consider the given figure and answer the question:

Is it closed?

Q.

Question 1 (c)

Name the type of the following triangle:

$\Delta PQR$ such that PQ = QR = PR = 5 cm

Q.

The measure of two complementary angles is $2x-7$ and $x+4$. Find the value of $x$

Q. Three angles of triangle are 30°, 60° and 90°. What type of triangle is it?

1. An obtuse angled triange
2. A right angled triangle
3. An acute angled triangle
4. None of the above

Q. How many angles are there in a triangle?

1. 2
2. 4
3. 3
4. 5

Q. Can the following triangles exist?
(i) AB = 8 cm, BC = 6 cm, AC = 10cm
(ii) MN = 9 cm, NO = 5 cm, OM = 4 cm
(iii) $\angle A$ = 175${}^o$, $\angle B$ = 5${}^o$ and $\angle C$ = 0${}^o$
[3 MARKS]

Q. Are the following triangles possible?
(i) AB = 4 cm, BC = 5.6 cm, AC = 10 cm
(ii) $\angle A$ = 60${}^o$, $\angle B$ = 120${}^o$, $\angle A$ = 30${}^o$
[4 MARKS]

Q.

O is the point in the exterior of $△ABC$.Use the symbols$<,>\text{or}=to$ make the following statements true.

$\mathrm{OB}+\mathrm{OC}>\mathrm{BC}$

Q. Three angles of triangle are 30°, 60° and 90°. What type of triangle is it?

1. An obtuse angled triange
2. A right angled triangle
3. An acute angled triangle
4. None of the above

Q. Which of the following combination of sides (in cm) helps to construct a triangle?

1. 3, 6, 9
2. 4, 4, 8
3. 2, 4, 8
4. 7, 8, 9

Q.

In $\Delta$ABC and $\Delta$PQR, AB = 4 cm, BC = 5 cm, AC = 6 cm and PQ = 4 cm, QR = 5 cm, PR = 6 cm, then

1. $\Delta$BCA $\cong$ $\Delta$RPQ

2. $\Delta$ABC $\cong$ $\Delta$QPR

3. $\Delta$ACB $\cong$ $\Delta$PQR

4. $\Delta$ABC $\cong$ $\Delta$ PQR

Q.

If $\Delta DEF\cong \Delta BCA$, then the part of $\Delta$ that correspond to $\angle E$ is

1. $\angle C$

2. $\angle B$

3. $\angle A$

4. $\angle F$

Q.

What is the complement of $45°$

Q. The centroid of a triangle is the point of concurrence of its

1. angle bisectors
2. perpendicular bisectors
3. altitudes
4. medians

Q.

If $\Delta ABC\cong \Delta DEF$, AB = 5 cm, BC = 6 cm, AC = 7 cm, then the length of EF is:

1. 1 cm

2. 6 cm

3. 7 cm

4. 5 cm

Q.

The side opposite to vertex B in a triangle ABC is ______

1. BC

2. AC

3. AB

4. None of the above

Q.

The six elements of a triangle are its ‘a’ sides and ‘b’ angles. Find the value of $a\times b$.
___

Q.

A closed figure which has three sides is called

1. Triangle

2. Square

3. Hexagon

4. Rectangle

Q. The remaining angle of the triangle whose other angles are 20 degree and 60 degree is :

1. 80
2. 90
3. 100
4. 110

Q. The remaining angle of the triangle whose other angles are 20 degree and 60 degree is :

1. 80
2. 90
3. 100
4. 110

Q.

In $△PQR,\angle R=\angle P$ and $QR=4cm$ and $PR=5cm$. Then the length of $PQ$ is

1. $4cm$

2. $5cm$

3. $2cm$

4. $2.5cm$