reflection activity - ottawahillsschools.org · reflection activity: 1. draw a line in the middle...

December 04, 2015

REFLECTION Activity:

1. Draw a line in the middle of your paper. Label it .

2. With a straightedge, draw a triangle either entirely on one side of the line or so a maximum of one point is on line . Label the triangle ABC.

3. Fold the paper along line .

4. Trace ABC using your straightedge. Unfold your paper and label your image points A', B', and C'.

5. Draw AA', BB', and CC'. Measure the distance A is to and A' is to . Repeat for B, B' and C, C'.

6. What do you notice?

7. What can you conclude about and the segments connecting a point to its image point in a reflection?

8. If an original point is on the line of reflection, where will its image point be?

December 04, 2015

December 04, 2015

(9.1) Reflections and (9.2) Translations

Objective:To draw reflections and draw reflections in the coordinate plane.

To draw translations and draw translations in the coordinate plane.

Why: Reflections and Translations are used in building design, art, etc.

December 04, 2015

Obj: To draw reflections and draw reflections in the coordinate plane.

To draw translations and draw translations in the coordinate plane.Reflection: "flip" over a line (line of reflection)

December 04, 2015

Obj: To draw reflections and draw reflections in the coordinate plane.

To draw translations and draw translations in the coordinate plane.

A

B

C

D

Reflect ABCD over line .0

1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

0

1

2

3

4

5

27°

December 04, 2015

December 04, 2015

Obj: To draw reflections and draw reflections in the coordinate plane.

To draw translations and draw translations in the coordinate plane.

A(1,3), B(4,2), C(3,5).

Reflect ABC over the y= -1 and give the imagecoordinates.

ABC has coordinates

A(1,3)

B(4,2)

C(3,5)

December 04, 2015

Obj: To draw reflections and draw reflections in the coordinate plane.

To draw translations and draw translations in the coordinate plane.

P(2,3)

1. reflect over y-axis

2. reflect over x-axis

3. reflect over line y = x

4. reflect over line y = -x

y-axis (x,y)

x-axis (x,y)

y = x (x,y)

y = -x (x,y)

P(2,3)

X

December 04, 2015

Obj: To draw reflections and draw reflections in the coordinate plane.

To draw translations and draw translations in the coordinate plane.

Reflect the figure with the given vertices over the line y = x.

R(-2,2), S(5,0), T(3,-1)

R(-2,2)

S(5,0)

T(3,-1)

December 04, 2015

Obj: To draw reflections and draw reflections in the coordinate plane.

To draw translations and draw translations in the coordinate plane.

Line Symmetry: when a figure can be mapped onto itselfby a reflection line called the line of symmetry or axis of symmetry.

December 04, 2015

Obj: To draw reflections and draw reflections in the coordinate plane.

To draw translations and draw translations in the coordinate plane.

Plane Symmetry: a 3D figure has plane symmetry if a plane can divide the figure into two congruent reflected halves.

Determine if the following solids have plane symmetry

December 04, 2015

Obj: To draw reflections and draw reflections in the coordinate plane.

To draw translations and draw translations in the coordinate plane.

(9.2) Translations: "slide"

Vector: quantity that has both direction and magnitude (size) and is represented by an arrow. (location is irrelevant)

P

Q

December 04, 2015

Obj: To draw reflections and draw reflections in the coordinate plane.

To draw translations and draw translations in the coordinate plane.

A

B

A'

B'

A''

B''

m n

December 04, 2015

Obj: To draw reflections and draw reflections in the coordinate plane. To draw translations and draw translations in the coordinate plane.

Translate the figure with the given translation vector.

A

B

C

v

December 04, 2015

Obj: To draw reflections and draw reflections in the coordinate plane.

To draw translations and draw translations in the coordinate plane.

December 04, 2015

Obj: To draw reflections and draw reflections in the coordinate plane.

To draw translations and draw translations in the coordinate plane.

Graph the figure and its image along the given vector.

TUWX with vertices T(-1,1), U(4,2), W(1,5), and X(-1,3); < -2, -4 >

December 04, 2015

Obj: To draw reflections and draw reflections in the coordinate plane.

To draw translations and draw translations in the coordinate plane.

HW:

(HR): WS(9.1) and WS(9.2)