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

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 \(\overline{Q S}\).

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 \(\overline{L M}\).

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 Measure the distance along each route.

Answer:

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.

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.