Name: _ Date: _ Period: _
9.2 Translations
Translation: _
_
* Written as ( x, y ) ( x + a, y + b ) where a indicates the horizontal shift and b indicates the vertical
shift
Examples: Graph each figure and its image under the given translation.
1. DE with
Name: _ Date: _ Period: _
9.3 Rotations
Rotation: _
_
* All rotations are isometries (preserve congruence)
Center of Rotation: _
_
Angle of Rotation: _
_
Examples:
1. Triangle ABC has vertices A ( 2, 3) , B ( 6, 3) , and
2. XY has endpoints X ( 5, 6 ) and
Name: _ Date: _ Period: _
9.4 Tessellations
Tessellation: _
_
_
* Reflections, rotations, and translations are used to create tessellations
* The sum of the measure of the angles of the polygons surrounding a point
(at a vertex) is 360
Regular Tessellatio
Name: _ Date: _ Period: _
9.5 Dilations
Dilation: _
* Requires a center point and a scale factor (r)
* The value of r determines whether the dilation is an enlargement or a reduction
If r > 1 , the dilation is an enlargement.
If 0 < r < 1 , the dilation i
Name: _ Date: _ Period: _
Geometry: Chapter 9 Review
Graph each figure and its image under the given reflection.
1. triangle ABC with A ( 2,1) , B ( 5,1) and C ( 2, 3) in the x-axis
2. parallelogram WXYZ with W ( 4, 5 ) , X ( 1, 5 ) , Y ( 3, 3) , and Z (
Name: _ Date: _ Period: _
8.6 Trapezoids
Trapezoid: _
_
*
*
*
*
A and B are base angles
C and D are base angles
AB and DC are bases
AD and BC are legs
Isosceles Trapezoid: _
_
* Both pairs of base angles of an isosceles trapezoid are congruent
* The diago
Name: _ Date: _ Period: _
8.7 Coordinate Proof with Quadrilaterals
Position and label quadrilaterals on the coordinate plane so that the vertices are as simple as possible
* Whenever possible, use the origin as one vertex
* Try to keep the figure in the f
Name: _ Date: _ Period: _
Geometry: Chapter 8 Review
8.1 Angles of Polygons
* The sum of the measures of the interior angles of a convex polygon is S = 180 ( n 2 )
* The sum of the measures of the exterior angles of a convex polygon is 360
Find the measur
ll
II
Name: :m D g; . balm Date: Period:
Geometry: Chapter 8 Review
8.! Angles of Polygons
* The sum of the measures of the interior angles of a convex polygon is S = 180(n 2)
* The sum of the measures of the exterior angles of a convex polygon is