Cartesian Plane
The names of the four quadrants in a Cartesian Plane
What is Quadrant I, II, III, IV
What does a translation do to a point or shape?
Sliding/moving it without changing its shape or size.
What happens when a point is reflected across the y-axis?
The x-coordinate changes sign.
What happens when you rotate a point 90° counterclockwise around the origin?
(x, y) → (-y, x)
Translate (1,2) by (4,-3) and then reflect across the x-axis.
(5,-1)
Plot the point (3, -2). In which quadrant is it located?
What is Quadrant IV
Translate (2,3) right 4 units. What are the new coordinates?
(6,3)
Reflect the point (4, -3) across the y-axis.
(-4, -3)
Rotate (2, 3) 90° clockwise.
(3, -2)
Reflect (3,-4) across the y-axis and then rotate 90° counterclockwise.
(4,-3)
The coordinates of the origin?
What is (0,0)
Translate (-5, 8) down 6 units. What are the new coordinates?
(-5,2)
A shape has a point at (-7, 2). Reflect it across the x-axis.
(-7, -2)
Rotate (-4,5) 180°.
(4,-5)
A shape undergoes a translation of (2,3), a reflection across the x-axis, and a 180° rotation. What happens to the original points?
Coordinates are reversed and flipped accordingly.
A point is at (-4, 5). What happens if you move it 3 units to the right?
What is new coordinates (-1,5)
Points at (1,1), (3,2), and (2,5). Translate it left 2 and up 3. What are the new points?
(-1,4), (1,5), (0,8)
What is the reflection of (5,-6) across both axes?
X Axis: (5,6)
Y Axis: (-5,6)
What transformation occurs when rotating 270° clockwise?
Same as 90° counterclockwise.
Describe a transformation that results in a figure looking the same after it moves.
Rotation by 360° or reflection over a symmetrical axis.
The difference between the x-axis and the y-axis?
What is the x-axis runs left/right (horizontal), and the y-axis runs up/down (vertical)
If you translate a point (x, y) by (-3, +5), what does that mean?
Move left 3, up 5.
If a triangle is reflected across the y-axis and one point moves from (2,4) to (-2,4), what happens to the rest of the shape?
All x-coordinates flip sign, but y-coordinates stay the same.
A triangle has points (1,2), (3,4), and (5,6). Rotate it 180°. What are the new coordinates?
(-1,-2), (-3,-4), (-5,-6)
A triangle has points at (3,4), (-2,5), and (1,-3). It is translated 4 units left and 2 units down, then reflected across the x-axis, and finally rotated 90° clockwise about the origin. What are the final coordinates of the triangle?
( -2,1 ), ( -3,6 ), ( 5,3 )