Finding distances

Finding distances

Today's Goals

• Recall how to plot points using coordinates.

• Find distance between two points on a grid using triangles and the Pythagorean Theorem.

The Coordinate Plane

When we make coordinates for points, we list and x coordinate and a y coordinate.

Which one always comes first? X or Y?

Fill in the Blank

Point A has coordinates (2,_)? (fill in the blank)

Multiple Choice

What point has coordinates (3,2)?

• A

• B

• C

• D

• E

Multiple Choice

What point has coordinates (3,-1)?

• A

• B

• C

• D

• E

Multiple Choice

What point has coordinates (1,-1)?

• A

• B

• C

• D

• E

Multiple Choice

What is the distance between point A(3,2) and point D(3,-1)?

• 0

• 1

• 2

• 3

• 4

Multiple Choice

What is the distance between point D(3,-1) and point C(1,-1)?

• 0

• 1

• 2

• 3

• 4

Multiple Choice

What kind of triangle is BCD?

• Right triangle

• Isosceles triangle

• Equilateral triangle

• L triangle

Multiple Choice

Right triangles obey the Pythagorean Theorem. Which of these is true?

• $3^2+2^2=L^2$

• $L\ =\ 5$

• $3\ -\ 2\ =\ L^2$
  

• $9\ +\ 4\ =\ L$
  

Multiple Choice

Because  $3^2+2^2=L^2$  , which of these is true?

•  $13=L^2$ 

•  $L\ =\ 9+4$  

   $.$ 

•  $13\ =\ L$ 
  

•  $L\ =\ 5$ 
  

Multiple Choice

Finally, since  $L^2=13$   , which of these closest to the value of  $L$  ? (Remember,  $L$   is not the same as  $L^2$ )

•  $3$ 

• 3.6

• 4

• 6.5