Lines and constructions: corrected 6th grade math exercises.

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Answer key to 6th grade math exercises on parallel and perpendicular lines. Demonstrate that lines are parallel or perpendicular. Draw lines using geometry equipment and draw lines following a construction program.

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: $(AH)\perp\,(IC)$ and $(JC)\perp\,(IC)$ (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 $\notin$ and $\in$ .

a) A $\in$ [IJ] b) I $\notin$ [AJ] c) H $\in$ [IB) d) J $\in$ [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 $\widehat{LBU}$ 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.

The exercises in the sixth grade.

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