Transversal of Parallel Lines

Q.

Question 64

An angle is said to be trisected, if it is divided into three equal parts. If in the given figure, $\angle BAC=\angle CAD=\angle DAE$, then how many trisectors are there for $\angle BAE$?

Q.

The two given lines are parallel. Find the value of angle 1 (in degrees).

___

Q.

Preeti told Pavani that if the alternate interior angles are equal then lines need not be parallel. Is Preeti's statement true or false?

1. True

2. False

Q.

The distance between the two parallel lines is the same everywhere. Say True or False

1. True
2. False

Q. In the given figure, what is the value of 't' ?

1. $5^{\circ }$
2. ${10}^{\circ }$
3. ${15}^{\circ }$
4. ${20}^{\circ }$

Q.

The relation $$is parallel to $$ on a set $S$ of all straight lines in a plane is :

1. Symmetric only

2. Reflexive and Transitive only

3. Transitive only

4. An equivalence relation

Q. In the given diagram, name the point(s):
On $\angle EOF$

Q.

Match the following:

$$\begin{array}{cc}\text{a. Interior angles on the same side of the transversal}& \text{(i) 1 – 5, 2 – 6, 3 – 7 and 4 – 8}\\ \text{b. Alternate exterior angles}& \text{(ii) 4 – 6, 3 – 5}\\ \text{c. Corresponding angles}& \text{(iii) 1 – 7, 2 – 8}\\ \text{d. Alternate interior angles}& \text{(iv) 3 – 6, 4 - 5}\end{array}$$

1. a – iv, b – iii, c – i, d - ii

2. a – iii, b – iv, c – i, d - ii

3. a – iii, b – iv, c – ii, d - i

4. a – iv, b – ii, c – iii, d - i

Q. Look at the figure below and name the pairs of corresponding angles, alternate angles and interior angles.

Q.

In $\Delta ABC$ , ray BD bisects $\angle ABC$ and ray CE
bisects $\angle ACB$ If $segAB\cong segAC$ then prove
that $ED\parallel BC$ .

Q. In Fig. 15.17, line n is a transversal to lines l and m. Identify the following

(i) Alternate and corresponding angles in Fig. 15.17 (i).
(ii) Angles alternate of ∠d and ∠g and angles corresponding to angles ∠f and ∠h in Fig. 15.17 (ii).
(iii) Angle alternative to ∠PQR, angle corresponding to ∠RQF and angle alternate to ∠PQE in Fig. 15.17 (iii).
(iv) Pairs of interior and exterior angles on the same side of the transversal in Fig. 15.17 (ii).

Q.

In the figure x, y and z are the internal angles of ∆ABD. Line ED || AB and side AD is extended to point P and the value of $\angle$EDP and $\angle$EDB are n and m, respectively. Then, the values of n and m are ______ and _______, respectively.

1. z, y

2. x, z

3. y, z

4. y, x

Q. If $L_1=0$ and $L_2=0$ be two intersecting straight lines, the number of points, whose distance from L${}_1$ is 2 units and from L${}_2$ is 5 units is

1. 1
2. 0
3. 4
4. infinite

Q. Which of the following are models for perpendicular lines :
The letter $V$.

Q. In the figure, line VP || line MS. Line DK is their transversal. If m∠DHP = 85° then


(1) m∠MGK = ......
(2) m∠VHD = ......
(3) m∠PHG = ......
(4) m∠HGS = .....

Q. In the given figure, list the points which are in the interior of $\angle AOB$.

Q. $B$ lies on $\overline{AC},\overline{BD}$ bisects $\angle ABE$, and $\overline{BE}$ bisects $\angle CBD$ as shown in the above figure. Find the measure of $\angle DBE$.

1. ${90}^{\circ }$
2. ${60}^{\circ }$
3. ${45}^{\circ }$
4. ${30}^{\circ }$
5. Cannot be determined from the given information

Q. Find the measure of an angle which is ${26}^o$ more than its complement.

Q. Number of angles formed in the given figure
(A) 3 (B) 4 (C) 5 (D) More than 5.

Q. In the adjoining figure, $segXY||segAC$, if $3AX=2BX$ and $XY=9$ then find the length of $AC$