Cartesian Plane
Finding Coordinates
Transformations
Translations
Reflections
Rotations
Geometric Constructions
100
What are the coordinates for the origin?
(0, 0)
100
In an integral pair, which axis coordinate comes first?
The x coordinate
(x coordinate, y-coordinate)
100
This term explains that the transformation does not change the size or shape of the original shape (pre-image).
Congruent
100
Describe the translation.
Six Units Left, 3 Units Up
(x - 6, y + 6)
100
Describe the Reflection
Reflection over the y-axis.
100
What direction is this?
Counter-Clockwise
100
What is the relationship bewtween line segments AB and CD
They are Parallel
200
What is the name for the horizontal axis?
x-axis
200
Find the Coordinate for A.
(3, 4)
200
This transformation is a slide of the pre-image.
Translation
200
Describe the Translation.
3 units right, 5 units up
(x + 3, y + 5)
200
Trapezoid ABCD has coordinates:
A(-4,5), B(-2,4), C(-2,2) and D(-4,1).
After a reflection over the x-axis, what are the coordinates of the image of point B'?
(-2, -4)
200
Which of the triangles shown is not a rotation of triangle A about the origin?
What type of transformation occurred to make that image?
Triangle D
It is a reflection over the x-axis.
200
This shows what type of construction?
A perpendicular Bisector
300
What is the name for the vertical axis?
y-axis
300
Find the Coordinate for B.
(-3, +2)
300
This transformation is a flip over a mirror line
Reflection
300
Point Q is (+4, +7)
Point Q' is (-3, +9)
Describe the translation
(x - 7, y + 2)
7 units left, 2 units up
300
Describe the Reflection
A reflection over the line y= +1
300
Find the image of the point (-3,3) after a rotation of 90º counterclockwise about the origin.
(-3, -3)
300
How do we describe line AD on angle BAC
Angle Bisector
400
What are the signs (+ or -) for a coordinate in Quadrant II?
(-, +)
400
Find the Coordinate for C.
(-2, -4)
400
This transformation is a turn about/around a single point.
Rotation
400
A translation is defined by the rule
(x, y) → (x + 2, y - 5) or "right 2, down 5"
If point P is (3, 6), what are the coordinates of P'?
(+5, +1)
400
Describe the reflection ABC --> A'B'C'
Reflection over the y-axis.
400
ΔFUN is shown below. Find the coordinates of vertex U' after a clockwise rotation of 90º about the origin.
(4,-3)
400
perpedicular bisectors of the sides of a rectangle will always intersect at the ____________.
At the center.
500
What are the signs (+ or -) for a coordinate in Quadrant IV?
(+, -)
500
Find the Coordinate for D.
(+6, -3)
500
This is how we distinguish between the original and image vertices.
Primes (apostrophe)
500
A triangle PQR has a point P (+3, +2) translated to P' (-5, +4).
What are the coordinates for Q if Q' is (-5, -1)?
(+3, -3)
500
ΔFUN is shown below. Find the coordinates of its image ΔF'U'N' after a reflection over the x-axis.
F'(-4,-1),
U'(3,-4),
N'(0,3)
500
ΔABC with A(1,1), B(7,-2) and C(1,-2) is rotated 90º counterclockwise about point R (-2,-4).
What are the coordinates of the image of point B'?
B' (-4,5)
500
What is the relationship between angle BAD and DAC?
They are the same.
A BISECTOR splits angle BAC exactly in half.