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Coordinate plane and Reflection Rules

Coordinate plane and Reflection Rules

Assessment

Presentation

•

Mathematics

•

8th - 10th Grade

•

Practice Problem

•

Medium

•
CCSS
5.G.A.1, 6.NS.C.6B, 8.G.A.3

+3

Standards-aligned

Created by

Anonymous Anonymous

Used 42+ times

FREE Resource

9 Slides • 20 Questions

1

Coordinate plane and Reflection Rules

Slide image

2

Lesson Goals

  • Explore the coordinate plane

  • Name the quadrants of a coordinate plane

  • Describe each quadrant in terms of x and y

3

Quadrants

  • The coordinate plane has 4 quadrants

  • Quadrants are numbered counterclockwise starting with the top right.

  • Quadrants may be seen written in Roman Numerals

  • I, II, III, IV

  • 1, 2, 3, 4

Slide image

4

Multiple Choice

Question image

Which quadrant is shaded here?

1

1st quadrant

2

2nd quadrant

3

3rd quadrant

4

4th quarant

5

Multiple Choice

Question image

Which quadrant is shaded here?

1

1st quadrant

2

2nd quadrant

3

3rd quadrant

4

4th quarant

6

Multiple Choice

Question image

Which quadrant is shaded here?

1

1st quadrant

2

2nd quadrant

3

3rd quadrant

4

4th quarant

7

Multiple Choice

Question image

Which quadrant is shaded here?

1

1st quadrant

2

2nd quadrant

3

3rd quadrant

4

4th quarant

8

Multiple Select

Question image

Select all points in the fourth quadrant

1

D

2

E

3

F

4

G

5

H

9

Multiple Select

Question image

Select all points in the third quadrant

1

D

2

E

3

F

4

G

5

H

10

Multiple Select

Question image

Select all points in the second quadrant

1

B

2

C

3

F

4

G

5

H

11

Multiple Choice

Question image

Which of these points is in the first quadrant?

1

A

2

B

3

D

4

H

12

Quadrant 1

  • X coordinates are positive

  • Y coordinates are positive

  • Any point in quadrant 1 will have a positive x and positive y.

  • (x,y) (+,+)

Slide image

13

Quadrant 2

  • x coordinates are negative

  • y coordinates are positive

  • Any point in quadrant 2 will have a negative x and positive y

  • (-x,y) (-,+)

Slide image

14

Quadrant 3

  • x coordinates are negative

  • y coordinates are negative

  • Any point in quadrant 3 will have a negative x and negative y

  • (-x,-y) (-,-)

Slide image

15

Quadrant 4

  • x coordinates are positive

  • y coordinates are negative

  • Any point in quadrant 4 will have a positive x and negative y

  • (x,-y) (+,-)

Slide image

16

Multiple Choice

Identify the quadrant where the point is located. (-2, 6)

1

I

2

II

3

III

4

IV

17

Multiple Choice

Identify the quadrant where the point is located. (10 , -5)

1

I

2

II

3

III

4

IV

18

Multiple Choice

Identify the quadrant where the point is located. (-3 , -4)

1

I

2

II

3

III

4

IV

19

Multiple Choice

Identify the quadrant where the point is located. (6 , 3)

1

I

2

II

3

III

4

IV

20

How does this help us with Transformations???

  • Identify what quadrant the pre-image is in

  • Determine what quadrant the image will be in after the transformation.

  • What do we know about the x and y?

21

Think about this...

  • What quadrant is the pre-image in?

  • What are the signs? (+,+) (-,+) (-,-) or (+,-)

  • What quadrant will your image be in?

  • What are the signs? (+,+) (-,+) (-,-) or (+,-)

  • Rule (+,+) -------> (+,-)

  • x will stay positive.

  • y will be negative.

Slide image

22

Multiple Choice

Question image

What quadrant will L' be in after the reflection?

1

I

2

II

3

III

4

IV

23

Multiple Choice

What are the signs of the coordinates in quadrant III

1

(+,+)

2

(+,-)

3

(-,+)

4

(-,-)

24

Multiple Choice

Question image

Describe the image after the reflection.

1

The coordinates of the image will be (+,+)

2

The coordinates of the image will be (-,-)

3

The coordinates of the image will be (-,+)

4

The coordinates of the image will be (+,-)

25

Multiple Choice

If point L was at (4, -6) where would L' be located after a reflection over the y axis?

1

(4,6)

2

(-4,6)

3

(-6,4)

4

(-4,-6)

26

Multiple Choice

Give the reflection of the point across the given axis. (3, -6) , y axis.

1

(-3, 6)

2

(3, -6)

3

(3, 6)

4

(-3, -6)

27

Multiple Choice

Give the reflection of the point across the given axis. (-6, -10) , x axis.

1

(6, 10)

2

(6, -10)

3

(-6, -10)

4

(-6, 10)

28

Multiple Choice

The two points are reflections of each other across the x or y axis. Identify the axis. (-7, -1) and (7, -1)

1

x

2

y

29

Multiple Choice

The two points are reflections of each other across the x or y axis. Identify the axis. (5, 4) and (-5, 4)

1

x

2

y

Coordinate plane and Reflection Rules

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