Polygons in the Coordinate Plane
Name the Transformation
Do the Transformation
Symmetry
100
Use the Pythagorean Theorem to find the distance between points A and B:
6.4 units
100
Name the transformation. Be as specific as possible.
Rotation 180º about the origin
100
Rotate JZL 90º counterclockwise about the origin. What is the new ordered pair for point L?
(3, 0)
100
Name all the degrees of rotational symmetry between 0º and 360º.
How many lines of symmetry does the triangle have?
120º, 240º
3 lines
200
Find the area of the parallelogram. Round to the nearest tenth.
22.4 units2
200
Describe a sequence of transformations that results in the transformation of figure R to figure S.
Reflection over the x-axis, followed by a translation 8 units to the left.
200
Trapezoid WXYZ is located at W(-2, -1) X(-3, 5) Y(-6, 5) and Z(-7, -1). After being translated 9 units right, what are the new coordinates of each point?
W' (7, -1)
X' (6, 5)
Y' (3, 5)
Z' (2, -1)
200
Name all the degrees of rotational symmetry the octagon has between 0º and 360º.
180º
300
Find the area of the polygon. Round to the nearest tenth.
24 units2
300
Describe the transformation. Be as specific as possible.
Rotate 90º counterclockwise about the point (-4,-4)
300
A' (3, 1)
300
How many lines of symmetry does an isosceles trapezoid have?
1
400
Name the polygon, and prove it using both measurements from the graph and the definition of the polygon.
Kite
Sides AB and AD have lengths of √26
Sides DC and BC have lengths of √40
400
Write the equation for the line of reflection.
y=2x+1
400
Translate triangle FGY 4 units to the right, and then rotate it 180º about Y' (-1,1). What is the new ordered pair for each point?
F'' (-1, -2)
G'' (-2, 0)
Y'' (-1, 1)
400
Name a quadrilateral that has no lines of symmetry.
parallelogram
500
Name the polygon, and prove it using both measurements from the graph and the definition of the polygon.
Trapezoid
Opposite sides WX and ZY are parallel. Both have a slope of -1.
500
Name the two transformations that map the blue triangle onto the green triangle.
1. Reflection over the x-axis
2. Reflection over the y-axis
500
Reflect the triangle over y=5x+7, then rotate 90º counterclockwise around the point (-4,0). Write the three new ordered pairs.
(-7, -2)
(-12, -1)
(-8, -7)
500
How many angles of rotational symmetry does a 15-sided regular polygon have that is between the angle measures of 0º and 360º?
14