Types of Shapes
is a polygon, which is made of three sides and consists of three edges and three vertices. Also, the sum of its internal angles equals to 180o.
Triangle
has three equal sides
eqilateral triangle
Parallelogram opposite sides are
equal or congruent
5(2x-9)=21
5(3y-8)=-25
5(3y-8)=-25
5(3Y) 5(-8)
15y-40 = 25
+40 +40
15y/15 = 15/15
y=1
11s=22
11s/11 =22/11
s=2
Locus of all points at a fixed distance from a reference central point is called a Circle.
Circle
has two equal sides
Isoceles Triangle
Parallelogram opposite angles are
equal or congruent
2(5y-4) =42
2(5y) 2(-4)
10y-8=42
+8 +8
10/10 = 50/10
y=5
6x=-24
6x/6 = -24/6
x=-4
is a quadrilateral where all the four sides and angles are equal and the angles at all the vertices equal to 90° each.
Square
has no equal sides
Scalene Triangle
The diagnals of a parallelogram
bisect each other
5(x-8) = -20
5(x) 5(-8)
5x-40=-20
+40 +40
5x/5 = 20/5
x=4
3(4y+9)=39
3(4y) 3(9)
12y+27=39
-27 -27
12y/12 = 12/12
y=1
A quadrilateral which has its two pairs of opposite sides equal in length and interior angles are at the right angles.
Rectangle
has three angles <90
Acute triangle
Each diagnal bisect the paralleogram into
two congruent triangles
7(2x-10)=-56
7(2x) 7(-10)
14x-70= -56
+70 +70
14x/14 14/14
x=1
-2(x-1) +3x-1=-3
-2xt + 2 + 3x-1=3
x+1=-3
-1 -1
x=-4
is a quadrilateral with two pairs of parallel sides and opposite angles are equal in measures.
parallelorgram
has one angle =90
Right Triangles
has two sets of oppostite sides
Parallelogram
3(y + 7) = 33
3(y) 3(7)
3y+21=33
-21 -21
3y/3 12/3
y=4
2(5x+10)=40
2(5x) 2(10)
10x+20=40
-20 -20
10x/10 =20/10
x=2