Math in Focus Grade 4 Chapter 10 Answer Key Perpendicular and Parallel Line Segments

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This handy Math in Focus Grade 4 Workbook Answer Key Chapter 10 Perpendicular and Parallel Line Segments detailed solutions for the textbook questions.

Math in Focus Grade 4 Chapter 10 Answer Key Perpendicular and Parallel Line Segments

Put On Your Thinking Cap!

Challenging Practice

In the figure, use a protractor, drawing triangle, and a straightedge to name three pairs of line segments that are
Math in Focus Grade 4 Chapter 10 Practice 3 Answer Key Perpendicular and Parallel Line Segments 8

Question 1.
perpendicular. ____________________
Answer:
These three pairs of line segments  HF⊥ FG, FE ⊥ AE, FE ⊥ ED are Perpendicular.

Question 2.
parallel _____________________
Answer:
These three pairs of line segments FG // AD, AD // BC, HF // FE are Parallel.

Solve.

PQ is a lamp post standing vertically on the ground.
\(\overline{R S}\) and \(\overline{U T}\) are horizontal line segments on the ground passing through point Q.
\(\overline{Q T}\) is perpendicular to \(\overline{Q S}\).
Math in Focus Grade 4 Chapter 10 Practice 3 Answer Key Perpendicular and Parallel Line Segments 9

Question 3.
Identify two other pairs of line segments that are perpendicular.
Answer:
The two other pairs of line segments that are perpendicular are RQ ⊥ QU, QU ⊥ QS.

Question 4.
How many right angles are formed at point Q? ____
Answer:
Four right angles are formed at point Q.

Put On Your Thinking Cap!

Problem Solving

The diagram shows a road with parallel curbs \(\overline{J K}\) and \(\overline{L M}\).
Math in Focus Grade 4 Chapter 10 Practice 3 Answer Key Perpendicular and Parallel Line Segments 10

Question 1.
Danie is standing at point A and Alicia is standing at point B. They both want to cross the road. Use a drawing triangle to draw the shortest route each can take, and mark all the right angles like this Math in Focus Grade 4 Chapter 10 Practice 3 Answer Key Perpendicular and Parallel Line Segments 11 Measure the distance along each route.
Answer:
Math-in-Focus-Grade-4-Chapter-10-Practice-3-Answer-Key-Perpendicular-and-Parallel-Line-Segments-10

Question 2.
What do you know about the distance between parallel line segments?
Parallel line segments are always ____ distance apart.
Answer:
Parallel line segments are always same distance apart.

Solve.

The cube is placed on a flat surface.
Math in Focus Grade 4 Chapter 10 Practice 3 Answer Key Perpendicular and Parallel Line Segments 12

Question 3.
How many vertical line segments are there? ____
Answer:
There are 4 vertical line segments.

Question 4.
How many horizontal line segments are there? ____
Answer:
There are 8 horizontal line segments.

Question 5.
How many right angles are there? ____
Answer:
There are 24 right angles.

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