5 Minute Check
Identify the ordered pair and the quadrant.
1. D
2. U
3. J
4. M
5. P
6. S
5 Minute Check
Identify the ordered pair and the quadrant.
1. D
5 Minute Check
Identify the ordered pair and the quadrant.
1. D
(3,-5), QIV
5 Minute Check
Identify the ordered pair and the quadrant.
2. U
5 Minute Check
Identify the ordered pair and the quadrant.
2. U
(1, 3), QI
5 Minute Check
Identify the ordered pair and the quadrant.
3. J
5 Minute Check
Identify the ordered pair and the quadrant.
3. J
(-4,-5), QIII
5 Minute Check
Identify the ordered pair and the quadrant.
4. M
5 Minute Check
Identify the ordered pair and the quadrant.
4. M
(5, 4), QI
5 Minute Check
Identify the ordered pair and the quadrant.
5. P
5 Minute Check
Identify the ordered pair and the quadrant.
5. P
(-5, 4), QII
5 Minute Check
Identify the ordered pair and the quadrant.
6. S
5 Minute Check
Identify the ordered pair and the quadrant.
6. S
(-2, 1), QII
5 Minute Check
Identify the ordered pair and the quadrant.
(-2, 1), QII
5 Minute Check
Identify the ordered pair and the quadrant.
(-2, 1), QII
5 Minute Check
Identify the ordered pair and the quadrant.
(-2, 1), QII
5 Minute Check
Identify the ordered pair and the quadrant.
(-2, 1), QII
5 Minute Check
Identify the ordered pair and the quadrant.
(-2, 1), QII
5 Minute Check
Identify the ordered pair and the quadrant.
(-2, 1), QII
5 Minute Check
Identify the ordered pair and the quadrant.
The next clue is at a location
reflected across the x-axis.
Where is it located?
(-2, 1), QII
5 Minute Check
Identify the ordered pair and the quadrant.
The next clue is at a location
reflected across the x-axis.
Where is it located?
(-2, 1), QII
5 Minute Check
Identify the ordered pair and the quadrant.
Maria hid the next clue under
a rock by the lake. How many
blocks east did she walk to
lake?
(-2,the1),
QII
5 Minute Check
Identify the ordered pair and the quadrant.
Maria hid the next clue under
a rock by the lake. How many
blocks east did she walk to
lake?
(-2,the1),
QII
5 Minute Check
Identify the ordered pair and the quadrant.
The final clue tells the hikers
to walk 5 blocks north and
three blocks east to find the
(-2,prize.
1), What
QII ordered pair
describes the location of the
prize?
5 Minute Check
Identify the ordered pair and the quadrant.
The final clue tells the hikers
to walk 5 blocks north and
three blocks east to find the
(-2,prize.
1), What
QII ordered pair
describes the location of the
prize?
Friday, Nov 20
Lesson 5.7.a
Graphing on the Coordinate Plane
Graphing on the Coordinate Plane
Objective: To understand how to graph
geometric shapes on the coordinate plane.
Graphing on the Coordinate Plane
A coordinate plane is a grid with a vertical yaxis and horizontal x-axis.
y-axis
x-axis
Graphing on the Coordinate Plane
The center of the coordinate plane is called
the origin.
y-axis
origin
x-axis
Graphing on the Coordinate Plane
The coordinate plane is divided into four
quadrants.
Quadrant II
y-axis
Quadrant I
origin
x-axis
Quadrant III
Quadrant IV
Graphing on the Coordinate Plane
You can use an ordered pair (x,y) to locate
any point on the plane.
Graphing on the Coordinate Plane
You can use an ordered pair (x,y) to locate
any point on the plane.
The first number in an ordered pair is the xcoordinate.
Graphing on the Coordinate Plane
You can use an ordered pair (x,y) to locate
any point on the plane.
The first number in an ordered pair is the xcoordinate.
The second number in an ordered pair is the
y-coordinate.
Graphing on the Coordinate Plane
Name the ordered pair and quadrant.
Graphing on the Coordinate Plane
Name the ordered pair and quadrant.
(-3,5), QII
(-3, 5)
Graphing on the Coordinate Plane
Name the ordered pair and quadrant.
Graphing on the Coordinate Plane
Name the ordered pair and quadrant.
(-2.5,-3), QIII
(-2.5, -3)
Graphing on the Coordinate Plane
What point is the reflection of (2,-4) across
the x-axis?
Remember – when
graphing a reflection
the coordinate of the
axis of reflection
stays the same.
Graphing on the Coordinate Plane
What point is the reflection of (2,-4) across
the x-axis?
(2, 4)
(2, -4)
Graphing on the Coordinate Plane
What point is the reflection of (-1, 3) across
the y-axis?
Graphing on the Coordinate Plane
What point is the reflection of (-1, 3) across
the y-axis?
(-1, 3)
(1, 3)
Graphing on the Coordinate Plane
What point is the reflection of (-1, -5) across
the x-axis?
Graphing on the Coordinate Plane
What point is the reflection of (-1, -5) across
the x-axis?
(-1, 5)
(-1, -5)
Graphing on the Coordinate Plane
What point is the reflection of (2, 3) across
the y-axis?
Graphing on the Coordinate Plane
What point is the reflection of (2, 3) across
the y-axis?
(-2, 3)
(2, 3)
Graphing on the Coordinate Plane
Create a square using the given points as
vertices. What are the other points?
(-4, 4)
(1, 4)
Graphing on the Coordinate Plane
Create a square using the given points as
vertices. What are the other points?
(-4,
-1)
and
(1,
-1)
(1,
4)
(-4, 4)
Graphing on the Coordinate Plane
Create a square using the given points as
vertices. What are the other points?
(-4, 4)
(1, 4)
(1,9) and (-4, 9)
Graphing on the Coordinate Plane
Create a square with the given points. What
are the other points? What is the perimeter
of
the
square?
(1, 4)
(-4, 4)
Graphing on the Coordinate Plane
Create a square with the given points. What
are the other points? What is the perimeter
of
the
square?
(1, 4)
(-4, 4)
5 units · 4 = 20 units
5u
Graphing on the Coordinate Plane
Graph points at E(-1,-4) and F(-3,4). Reflect point F
across the x-axis and connect all the points. What is the
shape?
Graphing on the Coordinate Plane
Graph points at E(-1,-4) and F(-3,4). Reflect point F
across the x-axis and connect all the points. What is the
shape? A triangle with vertices at (-3, 4), (-3, -4) and
(-1,-4)
F
E
F’
Graphing on the Coordinate Plane
Graph points at E(-1,-4) and F(-3,4). Reflect point F
across the x-axis and connect all the points. What is the
shape? What is the area of the triangle?
A∆ = b · h ÷ 2
F
E
F’
Graphing on the Coordinate Plane
Graph points at E(-1,-4) and F(-3,4). Reflect point F
across the x-axis and connect all the points. What is the
shape? What is the area of the triangle?
A∆ = b · h ÷ 2
F
A∆
A∆ =
A∆ = A∆ = A∆ =
E
F’
A∆ = 2u · 8u ÷ 2
A∆ = 8 units²
Graphing on the Coordinate Plane
Draw the points G(-3,5), H(3,5), I(5,0), J (0,-4)
and K(-5,0) and connect in alphabetical order.
Connect K to G. What is the shape?
A∆
A∆ =
A∆ = A∆ = A∆
Graphing on the Coordinate Plane
Draw the points G(-3,5), H(3,5), I(5,0), J (0,-4)
and K(-5,0) and connect in alphabetical order.
Connect K to G. What is the shape?
G
H
A∆K
A∆ =
A∆ = A∆ = A∆
J
I
A pentagon
Graphing on the Coordinate Plane
Mr. Avery is using the coordinate plane to design a logo.
He graphs points at (2,4) and (-2,2). He reflects (-2, 2)
across the x-axis, then he reflects that new point across
the y-axis. What shape is the logo?
Graphing on the Coordinate Plane
Mr. Avery is using the coordinate plane to design a logo.
He graphs points at (2,4) and (-2, 2). He reflects (-2, 2)
across the x-axis, then he reflects that new point across
the y-axis. What shape is
(2, 4)
the logo? The shape is a
(-2, 2)
trapezoid.
(-2, -2)
(2, -2)
Graphing on the Coordinate Plane
Mr. Avery is using the coordinate plane to design a logo.
He graphs points at (2,4) and (-2, 2). He reflects (-2, 2)
across the x-axis, then he reflects the new point across
the y-axis. What shape is
(2, 4)
the logo? Can you
(-2, 2)
determine the area of the
trapezoid?
(-2, -2)
(2, -2)
Graphing on the Coordinate Plane
Mr. Avery is using the coordinate plane to design a logo.
He graphs points at (2,4) and (-2, 2). He reflects (-2, 2)
across the x-axis, then he reflects the new point across
the y-axis.
(2, 4)
(-2, 2)
A∆ = b · h ÷ 2
A∆ = 2 · 4 ÷ 2 = 4u²
A
(-2, -2)
A∆
= 4u² = 16u²
(2, -2)
A∆ + A
= 20u²
Graphing on the Coordinate Plane
Three vertices of a quadrilateral are (-1,-1),
(1,2) and (5,-1). What are the coordinates of
the two vertices that will form two different
parallelograms?
Graphing on the Coordinate Plane
Three vertices of a quadrilateral are (-1,-1),
(1,2) and (5,-1). What are the coordinates of
the two vertices that will form two different
parallelograms?
(-5,2)
(7,2)
Graphing on the Coordinate Plane
Determine whether each statement is
sometimes, always, or never true. Give an
example or a counterexample.
When a point is reflected across the y-axis,
the new point has a negative x-coordinate.
Graphing on the Coordinate Plane
Determine whether each statement is
sometimes, always, or never true. Give an
example or a counterexample.
When a point is reflected across the y-axis,
the new point has a negative x-coordinate.
Sometimes; The x-coordinate of the new
point will be negative if the x-coordinate if
the original point is negative.
Graphing on the Coordinate Plane
Determine whether each statement is
sometimes, always, or never true. Give an
example or a counterexample.
The point (x,y) is reflected across the x-axis.
The new point is reflected across the y-axis.
The location of the point after both
reflections is (-x,-y).
Graphing on the Coordinate Plane
Determine whether each statement is
sometimes, always, or never true. Give an
example or a counterexample.
The point (x,y) is reflected across the x-axis.
The new point is reflected across the y-axis.
The location of the point after both
reflections is (-x,-y).
Always; The coordinates be the opposites of
the original following both reflections.
Graphing on the Coordinate Plane
Agenda Notes
No Homework –
Work on MobyMax until the end of class.
Chapter 5 Test -Friday, Dec 4
Accum Rev 5 due on Dec 4