1. 14.1 Using the coordinate plane to my advantage for proving things.

3. I can find the perimeter of a triangle on a coordinate plane
Find distance of all three line segments then add them up.

4. Area

5. I can find the area of a triangle
To model the area of a triangle. Make a rectangle around the triangle as shown in the 3 examples. You know the area of the rectangle is B x H. The area of the triangle will always be ½ x B x H

6. I can find the area of a triangle on a coordinate plane

7. I can find the area of a triangle on a coordinate plane.
How would I find the base?
How would I find the height?

8. I can find the area of a triangle on a coordinate plane using the subtraction method.
Area of rectangle- area of each of the 3 right triangles = area of the given triangle.

9. When would it be important to find the distance from a point to a line?
When you are trying to figure out the altitude of a triangle on a coordinate plane.
Altitude can help you find the area of a triangle.

10. Find the distance from a point to a line
1. graph the point and the line
2. Determine the equation of a line perpendicular to the line running through the point.
3. Use substitution to determine the intersection of 2 lines.
Use distance formula to measure the distance from the point to the line.
Y=2x+3 (2,2)
2=-1/2(2)+b
2= -1+b
3 = b
Y=-1/2x+3
2x+3= -1/2x+3
x=0 y=3
Find distance from (0,3) to (2,2) = sqrt 5

11. To double the area of a given triangle all I have to do is double its base or its height.
What changed from ∆ABD to ∆ABC?

12. Practice with right angles.

13. Practice with right angles

14. Practice finding area with subtraction.

15. Practice using a =1/2 bxh

16. Practice using a =1/2bh

17. 14.3 I can find the area of a parallelogram
You know the area for a rectangle is Base x Height.
Translate ∆ADE 5 units to the right and you have made a rectangle of the same area.
Area formula for a trapezoid is Base x Height. Where height is perpendicular to the base.

18. Finding area of a parallelogram using a perpendicular
How do I know that line e is perpendicular to Segment DC?
How would I find the coordinates for E?
Once I have the coordinates how could I find the height EB?

20. Find using ½ base x height

22. Can I find the area of the same shape using subtraction method?

23. Area of a trapezoid Area of a parallelogram is Base Height
Think of the double trapezoid as a parallelogram.
A= (b1 + b2)h/2

24. Area of irregularly shaped figures
Find the area for each triangle or quadrilateral, then add up the areas.

25. Practice with composite shapes.