Answers to the exercises on the parallelogram in 5th grade

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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 , $\widehat{MDO}=32^{\circ}$ and $\widehat{DMO}=58^{\circ}$ .

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

Let’s calculate the angle measure $\widehat{DOM}$ .

$\widehat{DOM}=180-32-58=180-90=90$ °.

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:

2. We have:

Area of the diamond = $\frac{d+D}{2}$ =56/2=28cm²

Exercise 6:

$\widehat{GEF}=180-(\widehat{EFG}+\widehat{EGF})$

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 $\widehat{ABC}$ =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

Fifth grade exercises.

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