Parallel lines cut by a transversal solving equations worksheet

Parallel Lines Cut by a Transversal Worksheet - Solving Equations Maze Activity

Printable PDF & Digital Versions are included in this distance learning ready activity which consists of a maze of 11 parallel lines cut by transversal in which students are giv… 

This is a maze of 11 parallel lines cut by transversal in which students are given angle measures as equations and must decide if they are congruent or supplementary and then solve for x. Not all boxes are used in the maze to prevent students from just guessing the correct route.

This is a maze of 11 parallel lines cut by transversal in which students are given angle measures as equations and must decide if they are congruent or supplementary and then solve for x. Not all boxes are used in the maze to prevent students from just guessing the correct route.

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Parallel Lines Cut by a Transversal~Solving Equations~Name _______________________________________________________________Some boxes mightnot be used©Amazing Mathematicsx=2Finishx=9x=31x=3x=19x=4x=-3x=7x=-2x=9x=3x=3x=24(9x+18)°x=8x=-12x=12x=12x=36x=9x=8x=26x=12

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Parallel lines and transversals worksheets can help students identify the different types of angles that can be formed like corresponding angles, vertical angles, alternate interior angles, alternate exterior angles. They can utilize this knowledge of the angles formed by parallel lines and transversals to set up and solve equations for missing angles.

Benefits of Parallel Lines and Transversals Worksheets

Parallel lines and transversals worksheets can help students to learn about angles formed by parallel lines cut by a transversal. Parallel lines and transversals worksheets will help kids in solving geometry problems. Some real-life examples of parallel lines cut by a transversal are zebra crossing on the road, road and railway crossing, railway tracks with sleepers, and windscreen wipers in cars.

Printable PDFs for Parallel Lines and Transversals Worksheets

First, students will need to be able to identify angle pairs, then know the properties and relationships. Children and parents can find these math worksheets online or even download the PDF format of these exciting worksheets.

In this worksheet, we will practice using angle relationships formed by parallel lines and transversals to solve problems involving algebraic expressions and equations.

Q1:

Answer the questions for the given figure.

Q2:

What is the value of 𝑥?

Q3:

Given that 𝐵𝐹⫽𝐶𝐸, find the value of 𝑥. Then use that 𝑚∠𝐶𝐺𝐻=(3𝑦+2)∘ to find the value of 𝑦.

• A𝑥=104, 𝑦=34
• B𝑥=76, 𝑦=102
• C𝑥=34, 𝑦=104
• D𝑥=76, 𝑦=34

Q4:

Answer the questions for the given figure.

Q5:

The figure shows three parallel lines.

Q6:

Work out the value of 𝑥 in the figure.

Q7:

Work out the value of 𝑥 in the figure.

Q8:

Work out the value of 𝑥 in the figure.

Q9:

Find 𝑥.

Q10:

The given figure shows a pair of parallel lines and two transversals, one of which crosses at right angles.

Write an expression for 𝑑 in terms of 𝑏.

• A𝑑=180−𝑏
• B𝑑=90+𝑏
• C𝑑=180−2𝑏
• D𝑑=90−𝑏
• E𝑑=𝑏

Using this expression for 𝑑, find a fully simplified expression for 𝑎 in terms of 𝑏.

• A𝑎=180−2𝑏
• B𝑎=180−𝑏
• C𝑎=90+𝑏
• D𝑎=𝑏
• E𝑎 =90−𝑏

This lesson includes 17 additional questions and 142 additional question variations for subscribers.

What are the 5 angles formed by parallel lines cut by a transversal?

What 3 things happen when parallel lines are cut by a transversal?