Line reflections
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Line Reflections. Review. Mrs. Erickson. The Coordinate Axes. y-axis. (x,y). Origin: (0,0). x -axis. 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.

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Line Reflections

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Line reflections

Line Reflections

Review

Mrs. Erickson


The coordinate axes

The Coordinate Axes

y-axis

(x,y)

Origin: (0,0)

x-axis


The coordinate axes1

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 axes2

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 axes3

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 axes4

The Coordinate Axes

Solve: (x,y)  (2-x,y)

  • (0,1)  _____

  • (-4,3)  _____

  • (5,-1)  _____

(2,1)

(6,3)

(-3,-1)


Line reflections1

Line Reflections


Line reflections2

Line Reflections

Lines of Symmetry


Line reflections3

Line Reflections

Draw all lines of symmetry:

  • Rectangle

  • Square

  • Equilateral Triangle


Line reflections4

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 reflections5

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

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 plane1

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 plane2

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

Pop Quiz

… just kidding


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