Adjacent angles have the same measures from more than one line

few angles equals many(224)

There are 2 given measurements in this whole line graph. There are 2 parallel lines with one perpendicular angle measure. This example has a lot of adjacent angles that equal one measurement. The 110 degrees is subtracted from 180 to give the opposite side angle measure of 70 degrees. The bottom parallel line will have the same angle measures at that lines intersection. The other line with a measure of 50 degrees can be subtracted from 180, being the opposite a measure of 130 degrees. That parallel line will have the same measures as that intersecting line on the top. The perpendicular line has a measure of 90 degrees on all 4 sides.

Triangles(225)

There are 3 types of triangles: Equilateral, Isosceles, scalene, and right. Equilateral triangles have all equal sides. Isosceles triangles have no equal sides, and scalene triangles have no equal sides. Triangles are shapes that can be measured differently with a protractor. A protractor is an instrument used to find unknown angle measurements in degrees.

Here are some examples:

Area of a and perimeter of a triangle(226)

The formula for finding the area of a triangle is . This means you get half the base (bottom) of the triangle and multiply it by its height from the tip of the triangle to the bottom. A triangle that has a base of 6 inches and a height of 10 inches, the area of it would be 30 inches. The perimeter for any shape is the distance around the shape, adding up all the sides.

Pythagorean theorem(227)

The Pythagorean Theorem is a special formula to find the measure of a right triangle’s longest side (hypotenuse). The formula is . You find the measure that the 2 lines make up the right angle, square both of them, then you take the square root of the sum of those two numbers. You can also reverse the formula by finding a side with the 2 angles including the hypotenuse.

Special quadrilateral(228)

A quadrilateral is any shape with 4 angles. The special quadrilateral is a trapezoid, which is very similar to a triangle, it just has only 4 sides. A trapezoid is a shape that has no more than 2 right angles. A right trapezoid is the only trapezoid with 2 right angles. The area of a trapezoid is similar to a triangle:

Here is an example:

Squares(229)

A square is a quadrilateral is all 4 equal sides with right angles. To find the area of a square, you just square either side of the shape.

Squares brother(230)

The squares good brother is a rectangle. A rectangle is a quadrilateral with 4 sides with opposite equal sides. The area of a rectangle can be found by multiplying the unequal side measures.

Rhombus/parallelogram(231)

A rhombus is a quadrilateral with 4 equal sides without right angles. A parallelogram is a quadrilateral without right angles with equal opposite sides. Finding the area of these figures need to be split into different triangles, find their area’s and add them up. A parallelogram is split into 3 shapes, of them being a rectangle or even a square.

Here is an example:

Polygons(232)

A polygon is any shape that has conjoined angles. The following polygons are:

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