Coordinate Geometry

Coordinate Geometry

Think of how Game developers create your favorite games,

How google maps detect and calculate distances in less than a second.

Video Time.

Now watch the following video as it shows how game developers work on creating your favorite games.

_{(If you're taking the lesson from home you'll the video attached in The GC Materials)}

See how connected?

Today's Mission

• Finding the midpoint of given lines on the coordinate plane

• Graphing and classifying polygons using given points in the form

   $\left(x,y\right)$  

• Finding The missing points 

Multiple Choice

Find the midpoint of the line segment with the given endpoints.

• (-4,3)

• (0.5,0.5)

• (-0.5,0.5)

• (5,4)

Multiple Choice

Find the mid-point of the following line.

• (0.5, 2.5)

• (3, −3.5)

• (0, 2)

• (2, 1)

• (−3, 6)

Open Ended

CHALLENGE

Given the endpoint and the midpoint of the following line segment, What will be the starting point, and how will we get it?

*Discuss with your mates.

*Use your whiteboard to brainstorm

Rest. Your. Mind.

Before moving to Classify polygons and finding the missing vertex.

on your seat silently feel free to rest your mind from thinking for 5 mins so we can move on!

Using coordinate geometry to Classify Polygons.

The word polygon comes from Greek πολύγωνον (polygōnon)

meaning "many-angled".

Graph a figure with the coordinates A(−4,3) B(2,3) C(2,−1) D(−4,−1)

. When finished, name the figure that has been drawn on the grid.

How?

• Next, in order to determine what kind of shape it is, first count the number of vertices.

• This figure has four, so it is one of the four-sided shapes.

• Then, look to see how many of the sides are equal.

• In this case, side AB=DC and AD=BC. Since there are two sets of equal sides, this is either a rectangle or a parallelogram.

• Finally, check the angles.

  In this shape, the angles are right angles, so this is a rectangle.

Multiple Choice

Given the following points:

A(-3,3), B(2,1), C(-2,1)

What is the most specific name for the polygon?

• Right Angle Triangle

• Acute Isosceles Triangle

• Rectangle

• Parallelogram

Multiple Choice

What type of Polygon the following points represent?

D(-4,3), E(4,3), F(4,-3), G(-4,-3)

Graph on your notes then answer.

• Square

• Parallelogram

• Rectangle

• Trapezoid

Multiple Choice

 $\Delta ABC$  Has a right angle at B and AB = 4. 
Find the missing Vertex.
*(In other words: What point will make the figure a correct right angle)

• (3,5)

• (2,5)

• (5,3)

• (1,4)