Introduction to Triangles

Q.

Two squares are congruent, if they have same _____.

Q. In which triangle does the centroid lies outside the triangle?

1. Acute angled triangle
2. Centroid always lies inside the triangle for all types of triangle
3. Equilateral triangle
4. Obtuse angled triangle

Q.

Pick the option which matches the two columns.

1. $\left(A\right)\to q;\left(B\right)\to s;\left(C\right)\to p;\left(D\right)\to r$

2. $\left(A\right)\to s;\left(B\right)\to r;\left(C\right)\to p;\left(D\right)\to q$

3. $\left(A\right)\to s;\left(B\right)\to p;\left(C\right)\to q;\left(D\right)\to r$

4. $\left(A\right)\to q;\left(B\right)\to p;\left(C\right)\to r;\left(D\right)\to s$

Q.

Find the value of unknown x in the following diagrams.

Q. If the measures of the interior angles at vertex $A,B,$ and $C$ are $(5x-{60}^{\circ }),(2x+{40}^{\circ })$, and $(3x-{80}^{\circ })$ , respectively, then find the measure of $x$ in the given triangle.

1. ${28}^{\circ }$
2. ${26}^{\circ }$
3. ${32}^{\circ }$
4. ${30}^{\circ }$

Q.

In the given figure, $\angle BCA=\angle RPQ={15}^{\circ }$. Then $\angle PQR$ is

1. 35°

2. 15°

3. 45°

4. 55°

Q.

In the given figure, if x=y and AB=CB, then AE is _____.

1. less than CD

2. greater than CD

3. equal to CD

4. data insufficient

Q. The blue print of a triangular plot is given below:

Select the option that contains the vertices of the given triangular plot.

1. (3, -2), (3, 2), and (4, 5)
2. (-2, 3), (3, -2), and (4, 5)
3. (-2, 3), (3, 2), and (-5, -4)
4. (3, -2), (3, 2), and (5, -4)

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

1. 3
2. 6
3. 9

Q.

$\Delta ABC$ is congruent to $\Delta RQP$, that is $\Delta ABC\cong \Delta RQP$. If $\angle C$ and $\angle P$ are the smallest angles in $\Delta ABC$ and $\Delta RQP$, then which of the following is not true?

1. ∠A

2. ∠C

3. ∠B

4. Both ∠A and ∠B

Q. The blue print of a triangular plot is given below:

Select the option that contains the vertices of the given triangular plot.

1. (3, -2), (3, 2), and (4, 5)
2. (-2, 3), (3, -2), and (4, 5)
3. (-2, 3), (3, 2), and (-5, -4)
4. (3, -2), (3, 2), and (5, -4)

Q. Look at the given image:


The given triangles are to each other.

1. similar
2. not similar
3. equal

Q. Value of ∠Y in the following figure is _______

1. ${120}^{\circ }$
2. ${80}^{\circ }$
3. ${140}^{\circ }$
4. ${85}^{\circ }$