Balbharati solutions for Mathematics 8th Standard Maharashtra State Board chapter 2 - Parallel lines and transversals [Latest edition]

Chapter 2: Parallel lines and transversals

Practice Set 2.1Practice Set 2.2Practice Set 2.3
Practice Set 2.1 [Page 8]

Balbharati solutions for Mathematics 8th Standard Maharashtra State Board Chapter 2 Parallel lines and transversals Practice Set 2.1 [Page 8]

Practice Set 2.1 | Q 1 | Page 8

In the adjoining figure, each angle is shown by a letter. Fill in the boxes with the help of the figure.

Corresponding angles.

(1) ∠p and  ____
(2) ∠q and  ____
(3) ∠r and  ____
(4) ∠ s and _____ Interior alternate angles.
(5) ∠s and  _____
(6) ∠w and _____

Practice Set 2.1 | Q 1.1 | Page 8

Observe the angles shown in the figure and write the following pair of angle.

Interior alternate angles

Practice Set 2.1 | Q 1.2 | Page 8

Observe the angles shown in the figure and write the following pair of angle.

Corresponding angles

Practice Set 2.1 | Q 1.3 | Page 8

Observe the angles shown in the figure and write the following pair of angle.

Interior angles

Practice Set 2.2 [Pages 8 - 12]

Balbharati solutions for Mathematics 8th Standard Maharashtra State Board Chapter 2 Parallel lines and transversals Practice Set 2.2 [Pages 8 - 12]

Practice Set 2.2 | Q 1.1 | Page 11

Choose the correct alternative.

In the adjoining figure, if line m || line n and line p is a transversal then find x.

• 135°

• 90°

• 45°

• 40°

Practice Set 2.2 | Q 1.2 | Page 8

Choose the correct alternative.

In the adjoining figure, if line a || line b and line l is a transversal then find x.

• 90°

• 60°

• 45°

• 30°

Practice Set 2.2 | Q 2 | Page 11

In the adjoining figure line p || line q.  Line t and line s are transversals. Find measure of ∠x and ∠y using the measures of angles given in the figure.

Practice Set 2.2 | Q 3 | Page 12

In the adjoining figure. line p || line q.  line l || line m. Find measures of ∠a, ∠b, and ∠c, using the measures of given angles. Justify your answers.

Practice Set 2.2 | Q 4 | Page 12

In the adjoining figure, line a || line b.  line l is a transversal. Find the measures of ∠x, ∠y, ∠z using   the given information.

Practice Set 2.2 | Q 5 | Page 12

In the adjoining figure, line p || line l || line q.  Find ∠x with the help of the measures given in the figure.

Practice Set 2.3 [Page 13]

Balbharati solutions for Mathematics 8th Standard Maharashtra State Board Chapter 2 Parallel lines and transversals Practice Set 2.3 [Page 13]

Practice Set 2.3 | Q 1 | Page 13

Draw a line l. Take a point A outside the line. Through point A draw a line parallel to line l.

Practice Set 2.3 | Q 2 | Page 13

Draw a line l. Take a point T outside the line. Through point T draw a line parallel to line l.

Practice Set 2.3 | Q 3 | Page 13

Draw a line m. Draw a line n which is parallel to line m at a distance of 4 cm from it.

Chapter 2: Parallel lines and transversals

Practice Set 2.1Practice Set 2.2Practice Set 2.3

Balbharati solutions for Mathematics 8th Standard Maharashtra State Board chapter 2 - Parallel lines and transversals

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Concepts covered in Mathematics 8th Standard Maharashtra State Board chapter 2 Parallel lines and transversals are Properties of Angles Formed by Two Parallel Lines and a Transversal, Pairs of Lines - Transversal, Pairs of Lines - Angles Made by a Transversal, Pairs of Lines - Transversal of Parallel Lines, Axiom: If a Transversal Intersects Two Parallel Lines, Then Each Pair of Corresponding Angles is Equal., Axiom: If a Transversal Intersects Two Parallel Lines, Then Each Pair of Alternate Interior Angles Are Equal., Axiom: If a Transversal Intersects Two Parallel Lines, Then Each Pair of Interior Angles on the Same Side of the Transversal is Supplementary., To Draw a Line Parallel to the Given Line Through a Point Outside the Given Line Using Set-square., To Draw a Parallel Line to a Given Line at a Given Distance..

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