Math

Front 1

rotating shapes

Back 1

1. estimate points visually

2. use right triangle to rotate shapes

Front 2

reflecting shapes

Back 2

reflection acts like a mirror. it swaps all pairs of points that are on exactly opposite sides of the line of reflection.

Front 3

determing rotation

Back 3

1.examine rotation of a single point. this will tell us the angle of rotation.

2. imagine a circle that passes through point A, withe center at the origin.

Ask: what portion of the circle do we rotate through to reach the image? in which direction?

Front 4

transformations

Back 4

we can transform figures using only rigid transformations, such as: rotation, reflection and translation.

Front 5

reflective symmetery

Back 5

means that we can reflect across a line and the figure will remain the same

Front 6

rotational symmetery

Back 6

a figure is said to have rotational symmetery if there is a rotation that maps the figure onto itself

Front 7

magnitude

Back 7

the number of degrees we can rotate the figure to map it onto itself

Front 8

dilation properties

Back 8

1. dilations preserve angle measurement.

2. dilations do NOT preserve coordinates, sides, perimeter, area.

Front 9

corresponding angles

Back 9

are angles that hold the same relative position as another angle im the figure

Front 10

alternate INTERIOR angle

Back 10

angles that are:

1. opposite sides ofthe transverals

2. between the two lines

Front 11

alternate EXTERIOR angles

Back 11

angles are said to be alternate exterior angles when:

1. angles are opposite the transversals

2. and are on the outside of the two lines

Front 12

congruence

Back 12

in order for two figures to be congruent:

1. the mapping has to be with a series of rigid transformations only

Front 13

rigid transformations

Back 13

transformations that preserve the distance between two points

Front 14

angle congruence

Back 14

angles are congruent if and only if they have the same measures

Front 15

complete the sentence: transversals help us...

Back 15

identify parallel lines in 2 ways:

1. lines are parallel if and only if they have alternate INTERIOR angles

2. lines are parallel if and only if they have congruent angles