Definitions:
Area of:
Square: area= base x height.
Rectangle: area= base x height.
Triangles: area= base x height divided by two.
Trapezoids: area= base 1 + base 2 x half of the height.
Parallelograms: Area= base times height.
Circles: Area= pi x radius squared.
Polygons: (apothem is halfway into the shape from any side, so half of the apothem would be 1/4 into the shape from any side) area= 1/2 of apothem x perimeter.
Lines definitions:
Point: A place on a graph, where line can cross or pass through. An example would be: (4,6)
Line: A continuous extent of length, can be straight or curved, to help show data on graphs.
Plane: A plane is a flat thickness that extends forever and has no thickness.
Line Segment: a line that has two end points ad looks like a line, except it doesn't go on forever.
Ray: A line with on end point, but then extends on forever from that end point.
Angle: the space where two lines intersect and it is usually measured in degrees.
Median: The middle of data, when the data is lined up from least to greatest or vis versa, and you cross of the lowest, then the highest, then the next lowest, and then the next highest, until you have one point left. If you end up with two points, you add them together and divide that by two.
Perpendicular: This is when two line intersect, creating a 90 degree angle.
Quiz
1. What is the area of a square when its perimeter is a total of 20?2. How do you find the area of a rectangle?
3.Whats the difference between finding the area of a triangle and a rectangle?
4. Whats the formula to find the area of a trapezoid?
5. Is the parallelogram formula for area the same as squares and rectangles?
6. How to find area of half a circle?
7. Whats the formula for area of a polygon?
8. What is a point?
9. Can a line be curved?
10. Can a plane have any thickness/height
11. Does a line segment go on forever?
12. How many endpoints does a ray have?
13. Whats the highest angle you can have when two lines intersect without it being one line?
14. Find the median. 14,17,20,21,23,25,70,75,80,85,100
15. Define altitude
16. What angle is a perpendicular angle?
Answer Key
1. The area of the square is 25. 5+5+5+5=20 then base(5) times height(5) = 25
2. To find the area of a rectangle is base times height.
3. Both triangle and rectangle have to multiply base and height, but triangle needs to divide by 2 after.
4. Area for trapezoid is base 1 + base 2 x half of the height.
5. Yes, it is base times height.
6. Its pi r2 divided by 2
7. 1/2 of apothem times perimeter
8. A place on a graph, where line can cross or pass through.
9. Yes, it doesn't have to be straight
10. No, it cant have any thickness at all, it wouldn't make sense
11. No, that would be a regular line.
12. Only one endpoint the other goes on forever!
13. 179 degrees one more and it would be a straight line.
14. 25. You place in numerical order and then cross lowest then highest out, continuing that process until you have one number in the middle.
15. An altitude of a triangle is a line segment connecting a vertex to the line containing the opposite side and perpendicular to that side.
16. 90 degrees.
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