The Coordinate Plane
Translations
Reflections
Rotations
Sequence of Rigid Motions
Congruence
100
The horizontal axis on a coordinate plane.
What is the x-axis?
100
Describe a translation.
Sliding a figure up, down, left, right, or diagonally, a combination of any direction where the figures remain congruent.
100
Describe a reflection.
Flipping a figure to create a mirror image where the figures remain congruent.
100
Describe a rotation.
Spinning/turning a figure clockwise or counterclockwise a number of degrees around a fixed point where the figures remain congruent.
100
Describe what a sequence of rigid motion transformations means.
A combination of multiple translations, reflections, and/or rotations where the figures remain congruent.
100
The definition of congruent.
What are figures that are the same size and shape?
200
The vertical axis on the coordinate plane.
What is the y-axis?
200
If a figure translates to the left or right, which coordinate is being affected?
What is the x-coordinate?
200
If a figure reflects over the y-axis, which coordinate changes?
What is the x-coordinate?
200
Describe the rotation of a figure rotating from quadrant I to quadrant IV.
What is a 90 degree clockwise rotation?
200
Describe a sequence of rigid motions that can be used to verify that
the shaded pre-image is congruent to the image.
The pre-image rotated 180 degrees then translated 4 units down and right 1 unit.
200
How can we determine if two translated figures are congruent?
All points of the figures move the same distance and same direction.
300
The quadrant that has a positive x-coordinate and a negative y-coordinate.
What is quadrant IV?
300
Describe the translation from Triangle DEF to Triangle IGH.
Trangle DEF translated 4 units to the left or -4 units horizontally.
300
Describe the reflection of Triangle PQR to Triangle XYZ.
Triangle PQR was reflected over the x-axis.
300
Describe the rotation from Trapezoid ABCD to Trapezoid MNOP.
Trapezoid ABCD rotated 90 degrees counterclockwise.
300
Identify a sequence of translations, reflections, and/or rotations that could be used to map one triangle onto the other triangle.
Answers will vary.
300
How can we determine if two reflected figures are congruent?
The reflected corresponding points are the same distance from the line of reflection in the opposite direction.
400
What is the coordinate of Point C?
Point C is at (5,3).
400
Describe the translation of quadrilateral KLMN to quadrilateral RSPQ.
Quadrilateral KLMN translated down 10 units and right 4 units or -10 units vertically and 4 units horizontally.
400
Reflect Triangle JKL over the y-axis to form Triangle J'K'L'. What are the coordinates of the vertices of Triangle J'K'L'?
J'(-3,7), K'(-6,2), and L'(-1,-5)
400
Describe what happens to the coordinates when a figure is rotated 180 degrees.
The x- and y-coordinates change to be the opposite sign.
400
Describe the sequence of rigid motions to map Figure K to Figure K'.
Figure K was reflected over the x-axis the translated up one unit.
400
Write a congruence statement for the quadrilaterals.
Quadrilateral ARTP is congruent to Quadrilateral GFEH
500
The coordinate (0, 0) on the coordinate plane.
What is the origin?
500
Triangle XYZ has vertices X(-3,5), Y(1,-3), and Z(-6,-4). Translate Triangle XYZ 2 units to the right and 3 units up to form Triangle X'Y'Z'. What are the coordinates of the vertices of Triangle D'E'F'?
X'(-1,8), Y'(3,0), and Z'(-4,-1)
500
Describe the reflection.
Triangle PRG reflected across the y-axis.
500
Determine the coordinates of the triangle's image after the given rigid motion transformation.
D'(-2,-2), E'(-5,1), and F'(1,4)
500
Triangle PQR is reflected over the x-axis then translated to the right 5 units.
500
Consider the congruence statement. Identify the congruent angles.
Angle R is congruent to Angle H
Angle A is congruent to Angle O
Angle T is congruent to angle G