Parameters of Triangles (Sides and Angles)

Q. Sum of any two sides of a triangle is always _______ the third side of the triangle.

1. greater than
2. equal to
3. less than
4. None of the above

Q.

$\Delta DEF$ and $\Delta LMN$ are congruent in the correspondence $EDF\leftrightarrow LMN$. Write the pairs of congruent sides and congruent angles in the correspondence.

Q.

If two sides of a triangle are equal, the angles opposite to these sides are

1. not equal

2. right angles

3. equal

4. supplementary

Q. An exterior angle of a triangle is equal to:

1. ${180}^{\circ }$
2. sum of its opposite interior angles
3. sum of all angles of triangle
4. ${360}^{\circ }$

Q. Complete the activity according to the given steps.
(1) Draw rhombus ABCD. Draw diagonal AC.
(2) Show the congruent parts in the figure by identical marks.
(3) State by which test and in which correspondence ∆ ADC and ∆ ABC are congruent.
(4) Give reason to show ∠DCA ≌ ∠BCA, and ∠DAC ≌ ∠BAC
(5) State which property of a rhombus is revealed from the above steps.

Q.

Consider the two statements:

Statement 1: If two line segments have the same length, then they are congruent.
Statement 2: If two line segments are congruent, then they have the same length.

1. Statement 1 is true and Statement 2 is false

2. Both Statement 1 and Statement 2 are true

3. Statement 1 is false and Statement 2 is true

4. Both Statement 1 and Statement 2 are false

Q.

If two triangles ABC and PQR are congruent under the correspondence A ↔ P, B ↔ Q and C ↔ R, then symbolically, it is expressed as

1. △ABC = △PQR

2. △ABC and △PQR are isosceles triangles

3. △ABC and △PQR are scalene triangles

4. △ABC ≅ △PQR

Q. What is the ratio in which a median divides the opposite side?

1. 1 : 1
2. 2 : 1
3. 1 : 3
4. 1 : 2

Q.

In the given figure, if x= ${120}^{\circ }$ and y= ${50}^{\circ }$, then find the value of z.

1. 

2. 

3. 

4. 

Q. ∆ ABC and ∆PQR are congruent and their congruent parts are indicated by the identical marks as shown in figure. Which of the statements is wrong ?

1. ∆ ABC≅ ∆ PQR
2. (a) and (b) above.
3. ∆ABC ≅ ∆QPR
4. ∆ BAC ≅ ∆ PQR

Q.

Find angle x if line 'l' is parallel to line 'm' and the line 'n' is a transversal.

1. 

2. 

3. 

4. 

Q.

Name the type of triangle formed

Triangle with sides of lengths $7cm,8cm,9cm$

Q.

Classify it as scalene, isosceles or equilateral triangles according to the given length of their sides.

6 cm, 29 cm, 30 cm

Q. $\text{Select the possible interior opposite angles}\text{of the triangle with an exterior angle}\text{of}{150}^{\circ }.$

1. ${50}^{\circ }$, ${100}^{\circ }$
2. ${120}^{\circ }$, ${75}^{\circ }$
3. ${75}^{\circ }$, ${30}^{\circ }$
4. ${40}^{\circ }$, ${120}^{\circ }$

Q.

Find the angle x in the given trapezium.

Q.

Find the supplement of an angle which is twice a right angle.

Q.

In the triangle ABC, AB = AC and $\angle A:\angle B=8:5$. Then $\angle A$ equals

1. ${40}^{\circ }$

2. ${60}^{\circ }$

3. ${80}^{\circ }$

4. ${50}^{\circ }$

Q. If the given figure, if line m || line n and line p is a transversal, then find x.

Q.

Name the type of triangle: $∆ABCwithAB=8.7cm,AC=7cm,BC=6cm$.

Q. What should be multiplied with -12 in order to get 180?

1. -11
2. 15
3. -15
4. 19

Q.

What is a perpendicular bisector?

Q.

Set-square can be used to draw an angle bisector of given angle.

1. True
2. False

Q.

Which of the following shows the zero property of multiplication?

1. $3\times 0=3$

2. $5\times 0=0$

3. $2\times 9=9\times 2$

4. $6+6+0=3\times 6$

Q.

Pythagoras theorem is applicable for ___ .

1. obtuse-angled triangles

2. acute-angled triangles

3. right-angled triangles

4. all the triangles

Q. $\text{If the angles of a triangle are}{x}^{\circ },2x^{\circ }\text{and}3x^{\circ },\text{then find the value of}x\text{.}$

1. ${15}^{\circ }$
2. ${30}^{\circ }$
3. ${45}^{\circ }$
4. ${60}^{\circ }$

Q. Which of the following options is/are appropriate criteria for congruence?

1. SSS
2. AAA
3. ASA
4. SAS

Q.

In the given figure, AB = AC, $\angle A={48}^{\circ }$ and $\angle ACD={18}^{\circ }$. Then which of the given options is correct?

1. BC = BD
2. BC = CD
3. BD = DC
4. BC = 2 BD

Q.

Evaluate the following expressions

$\left\{(9+5)÷(7-5)\right\}$

Q.

Line l and m are parallel to each other. A transversal intersects them at points A and B.

i) An arc of suitable measure is taken from B cutting ‘l’ at D and transversal at M (as shown in the figure).

ii) Now, with the same radius and A as the centre, an arc FG is drawn (as shown in the figure).

What is the relation between the length of arc DM and arc FG?

1. Length (Arc FG) = 2 x Length (Arc DM)

2. Length (Arc FG) = (3/2) x Length (Arc DM)

3. Length (Arc FG) = Length (Arc DM)

4. Length (Arc FG) = (1/2) x Length (Arc DM)

Q.

Complete The Following Statement Using The Correct Form Of The Verb Given In Brackets.Sunder ______ (Leave) For America Next Month.