PART - 1 CH : 5 Parallel and Intersecting Lines - Gujarat Board (GSEB) STD 7 MATHS Questions

Q 1M.C.Q. [1 Marks Each]1 Mark

In parallelogram ABCD, AB is parallel to DC, and AD is parallel to BC. AB is produced to E, such that $\angle C B E=55^{\circ}$. BC is produced to F, such that BCF is a straight line. The values of x, y, and z, respectively, are-

A
$125^{\circ}, 55^{\circ}, 125^{\circ}$
B
$125^{\circ}, 125^{\circ}, 55^{\circ}$
✓
$55^{\circ}, 125^{\circ}, 125^{\circ}$
D
$55^{\circ}, 135^{\circ}, 125^{\circ}$

Answer: C.

View full solution →

Q 2M.C.Q. [1 Marks Each]1 Mark

In the following figure, which pair of angles are not corresponding angles?

A
$\angle 1, \angle 5$
B
$\angle 2, \angle 6$
C
$\angle 3, \angle 7$
✓
$\angle 3, \angle 5$

Answer: D.

View full solution →

Q 3Assertion (A) & Reason (B) MCQ1 Mark

Assertion (A): If a transversal cuts two parallel lines, then each pair of corresponding angles is equal.
Reason (R): A transversal intersects two parallel lines. If the measure of one of the angles is 50°, then the measure of its corresponding angle is 50°.

✓
Both assertion and reason are true and the reason is the correct explanation of assertion.
B
Both assertion and reason are true but the reason is not the correct explanation of the assertion.
C
Assertion is true and the reason is false.
D
Assertion is false and the reason is true.

Answer: A.

View full solution →

Q 4BLANKS [1 Marks Each]1 Mark

If a transversal intersects a pair of lines in such a way that the sum of interior angles on the same side of the transversal is 180°, then the lines are ___________.

View full solution →

Q 5BLANKS [1 Marks Each]1 Mark

The angle measurement between two perpendicular lines is ___________.

View full solution →

Q 6BLANKS [1 Marks Each]1 Mark

Two angles are called a pair of ___________ angles if their arms form two pairs of opposite rays.

View full solution →

Q 7BLANKS [1 Marks Each]1 Mark

If a ___________ intersects two parallel lines, the alternate angles are equal.

View full solution →

Q 82 Marks Questions2 Marks

(a) In the adjoining figure, find the values of x, y, and z.
(b) In the adjoining figure, AB is parallel to CD. Find the value of p.

View full solution →

Q 95 Marks Questions5 Marks

In the given figure, l || m and t is a transversal. If $\angle 1=55^{\circ}$, find $\angle 2, \angle 3, \angle 4, \angle 5, \angle 6, \angle 7$ and $\angle 8$.

View full solution →

Q 105 Marks Questions5 Marks

Identify the given pair of lines as either parallel, perpendicular, or intersecting.

(a) Lines FQ and HT are ___________ lines.
(b) Lines FQ and MW are ___________ lines.
(c) Lines CN and FQ are ___________ lines.
(d) Lines DZ and YG are ___________ lines.
(e) Lines CN and YG are ___________ lines.
(f) Lines HT and MW are ___________lines.

View full solution →

Q 11case /data -based (4 Marks)4 Marks

A zebra crossing is a safe place on the road where people can cross. It has white stripes painted on the road. These stripes are straight and equally spaced. The stripes are parallel to each other and perpendicular to the sides of the road, showing both parallel and perpendicular lines.

Meera looked out of the window and sketched her observation on a sheet of paper, noting that the shadow of the traffic light and the shadow of the electric pole, both parallel to each other, crossed the parallel stripes of the zebra crossing at different points.
Help Meera answer the following questions:
Q.1. What is the measure of angle 5?
Q.2. What is the measure of angle 1?
Q.3. What is the measure of angle 2?
Q.4. What is the measure of angle 3?

View full solution →

Q 12Match the following.4 Marks

In the following figures, AB is parallel to CD. Match column I with column II.

(a) The value of x is	(i) $80^{\circ}$
(b) The value of y is	(ii) $40^{\circ}$
(c) The value of z is	(iii) $20^{\circ}$
(d) The value of x + y – z is	(iv) $60^{\circ}$

View full solution →

Q 133 Marks Question3 Marks

In the figure given below, if AB is parallel to CD and CD is parallel to EF, find $\angle ACE$.

View full solution →

Q 143 Marks Question3 Marks

Find whether the lines AB and CD are parallel or not.