There is a wide variety of geometric shapes, which you can read about in detail:
There is a wide variety of geometric shapes, which you can read about in detail:
Look at rectangle ABCD below.
Side AB is 10 cm long and side BC is 2.5 cm long.
What is the area of the rectangle?
A triangle is a geometric shape with sides. In every triangle, the sum of angles equals .
Below are the different types of triangles –
A rectangle is a quadrilateral with two pairs of parallel opposite sides.
It can also be defined as a parallelogram with a degree angle.
Since a rectangle is a type of parallelogram, it has all the properties of a parallelogram.
Here are the properties of a rectangle:
Look at the rectangle ABCD below.
Side AB is 6 cm long and side BC is 4 cm long.
What is the area of the rectangle?
Look at the rectangle ABCD below.
Side AB is 4.5 cm long and side BC is 2 cm long.
What is the area of the rectangle?
Given the trapezoid:
What is its perimeter?
A general trapezoid is a trapezoid where two of its opposite sides are parallel and are called the bases of the trapezoid.
The other two sides are called the legs of the trapezoid, and they are not parallel and face different directions.
Meet the basic properties of a trapezoid:
• Two sides are parallel to each other
• The sum of the angles that lean on the same leg (one from the small base and the other from the large base) is degrees.
• If we draw a diagonal that intersects both bases, it will create equal alternate angles between parallel lines.
• The sum of all angles in a trapezoid equals degrees.
• If we draw a segment that passes exactly through the middle of the legs of the trapezoid, we obtain a segment that is parallel to the bases and equal to half their sum.
A parallelogram is a quadrilateral with pairs of parallel sides.
How to prove a parallelogram:
What is the perimeter of the trapezoid in the figure?
Look at the trapezoid in the figure.
Calculate its perimeter.
What is the perimeter of the trapezoid in the figure?
A kite is a quadrilateral with two pairs of adjacent equal sides.
To better understand this, imagine that a kite is composed of two isosceles triangles joined together.
Here are the main properties of the kite:
The main diagonal in a kite, which extends from the two vertices of the triangles, is both an angle bisector, a median, and perpendicular to the secondary diagonal, which extends from the base angles of the triangles.
Click here to learn more about kites.
A rhombus is a parallelogram with a pair of adjacent sides that are equal.
Here are the properties of a rhombus:
Look at the deltoid in the figure:
What is its area?
Look at the parallelogram in the figure.
h = 6
What is the area of the parallelogram?
Given the parallelogram of the figure
What is your area?
ABDC is a deltoid.
AB = BD
DC = CA
AD = 12 cm
CB = 16 cm
Calculate the area of the deltoid.
First, let's recall the formula for the area of a rhombus:
(Diagonal 1 * Diagonal 2) divided by 2
Now we will substitute the known data into the formula, giving us the answer:
(12*16)/2
192/2=
96
96 cm²
The trapezoid ABCD is shown below.
AB = 2.5 cm
DC = 4 cm
Height (h) = 6 cm
Calculate the area of the trapezoid.
First, let's remind ourselves of the formula for the area of a trapezoid:
We substitute the given values into the formula:
(2.5+4)*6 =
6.5*6=
39/2 =
19.5
The trapezoid ABCD is shown below.
Base AB = 6 cm
Base DC = 10 cm
Height (h) = 5 cm
Calculate the area of the trapezoid.
First, we need to remind ourselves of how to work out the area of a trapezoid:
Now let's substitute the given data into the formula:
(10+6)*5 =
2
Let's start with the upper part of the equation:
16*5 = 80
80/2 = 40
40 cm²
Shown below is the deltoid ABCD.
The diagonal AC is 8 cm long.
The area of the deltoid is 32 cm².
Calculate the diagonal DB.
First, we recall the formula for the area of a kite: multiply the lengths of the diagonals by each other and divide the product by 2.
We substitute the known data into the formula:
We reduce the 8 and the 2:
Divide by 4
8 cm
Given the trapezoid:
What is the area?
Formula for the area of a trapezoid:
We substitute the data into the formula and solve:
52.5