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Exercise 1:

1. Reproduce this figure on your paper, respecting the measurements.

2. Show that the lines (BE) and (CF) are parallel.

**The lines (BE) and (CF) are perpendicular to the same line (AD) so they are parallel to each other.**

Exercise 2:

A figure has been made and coded:

1. Name the lines perpendicular to (IC).

**According to the coding, the lines (AH) and (JC) are perpendicular to (IC).**

2. From the figure, some lines appear to be parallel. Which ones?

**The lines (AH) and (JC) appear to be parallel.**

3. Using a property of the course, justify that these two lines are parallel.

We know that: and (from coding).

Ownership:

If two lines are perpendicular to the same line, then they are parallel.

Conclusion:

The lines (AC) and (JC) are parallel

4. Complete using the symbols and .

a) A [IJ] b) I [AJ] c) H [IB) d) J [IA).

Exercise 3:

Looking at the figures below, complete the sentences using the words provided:

a. The lines (QR) and (FR) form a right angle.

b. The line (LR) is a perpendicular to the line (FQ).

c. The lines (LQ) and (TR) secant .

d. The line (FR) appears to be parallel to the line (LQ).

Exercise 4:

a. Here is the resulting figure and there are two possibilities for the position of point B.

b. (BL) and (BU) are perpendicular because BLU is a triangle inscribed in a semicircle so it is a right triangle so the angle is a right angle.

Exercise 5:

1. we obtain a square.

2. we obtain an equilateral triangle.

3. Here is the layout of the beginning of the course which is to be done 7 times .

Exercise 6:

Show that the lines (d1) and (d2) are parallel.

We know that the lines (d1) and (d2) are perpendicular to the same line (EF)

Property : If two lines are perpendicular to the same line then they are parallel.

**Conclusion:** .

Exercise 7:

You should get the following plots:

Exercise 8:

Trace and measure these angles using the protractor and geometry materials.

Exercise 9:

Exercise 10:

## Corrected 6th grade math exercises on straight lines in PDF.

After consulting **the answers to this exercise on parallel and perpendicular lines**. Then, on construction and demonstration in sixth grade, you can go back to the **exercises in sixth grade**.

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