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The **answer key to the math exercises in 5th grade on the parallelogram**. To construct a parallelogram using geometry equipment (ruler, compass, square and protractor). Use the properties to perform demonstrations.

Exercise 1:

Exercise 2:

1. Construct a parallelogram DOMI such that :

DM= 7cm , and .

2. Prove that the quadrilateral DOMI is a rectangle.is a rectangle.

Let’s calculate the angle measure .

°.

DOMI is a parallelogram with a right angle, so it is a rectangle.

Exercise 3:

Exercise 4:

Here is the construction of the parallelogram BEAR :

Exercise 5:

1.

2. We have:

Area of the diamond = =56/2=28cm²

Exercise 6:

This is how the reporter is taken. Point it at E and make an angle of 90°.

We realize that it is a very particular quadrilateral, called **LOSANGE**. which has diagonals [IG] and [FH]which intersect in their middle E (according to the symmetry with respect to E) and that these diagonals are perpendicular.

Exercise 7:

To construct a parallelogram you need to construct parallels.

It is a **diamond** shape. E is the symmetrical of I about the axis (AB) so there is a right angle between [EI] and between [AB]. By symmetry, the diagonals of this figure intersect in their middle and are perpendicular.

Exercise 8:

Looking at the measurements of the angles 180°-(110°+35°)=35° so the angle =35°

From there it is up to you to build the figure.

1°)The triangle is isosceles.

2°) Still a **rhombus **;^) formed by two isosceles triangles. (AD) perpendicular to (CB). And the diagonals intersect in the middle.

Exercise 9:

## Answers to the exercises on the parallelogram in 5th grade.

After having consulted **the answers to these exercises on the parallelogram in 5th** grade, you can return to the **exercises in 5th grade**

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