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Line Reflections

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The Coordinate Axes

Graph, then find the area:

- A (3,2) B (-3,2) C (-3,-2) D (3,-2)
- A (4,1) B (1,5) C (-2,1)

The Coordinate Axes

y

Graph, then find the area:

A (3,2)

B (-3,2)

C (-3,-2)

D (3,-2)

B (-3,2)

A (3,2)

x

4

6

A=base x height

C (-3,-2)

D (3,-2)

A=6x4

A=24

The Coordinate Axes

y

B (1,5)

Graph, then find the area:

A (4,1)

B (1,5)

C (-2,1)

4

6

C (-2,1)

A (4,1)

x

A=½ x base x height

A=½ x 6 x 4

A=12

The Coordinate Axes

Solve: (x,y) (2-x,y)

- (0,1) _____
- (-4,3) _____
- (5,-1) _____

(2,1)

(6,3)

(-3,-1)

Line Reflections

Lines of Symmetry

Line Reflections

Draw all lines of symmetry on the following words:

- MOM
- DAD
- HIKED
- CHECK
- RADAR
- TOOT

DAD

MOM

No lines of symmetry

HIKED

CHECK

RADAR

TOOT

No lines of symmetry

Line Reflections

Under a line reflection:

- distance is preserved
- angle measure is preserved
- midpoint is preserved
- collinearity is preserved

rk= “the reflection across line k”

Line Reflections in the Coordinate Plane

Reflections in the y-axis

Plot:

A (1,2)

B (3,4)

C (1,5)

Under a reflection

in the y-axis:

(x,y) _____

y-axis

Line Reflections in the Coordinate Plane

Reflections in the x-axis

Plot:

A (1,2)

B (3,4)

C (1,5)

Under a reflection

in the x-axis:

(x,y) _____

x-axis

Line Reflections in the Coordinate Plane

Reflections in the line y=x

Plot:

A (1,2)

B (3,4)

C (1,5)

Under a reflection

in the line y=x:

(x,y) _____

y=x

Pop Quiz

… just kidding