Pythagorean Theorem
This is the formula used to represent the Pythagorean Theorem.
What is a2 +b2 =c2?
This is a single spot in 2D or 3D space.
What is a point?
Translations are types of transformations that are created when objects are moved using this/these
What is a straight line or vector
Rotations are types of transformations that are created when objects are moved using this/these
What is an angle
Reflections are types of transformations that are created when objects are "flipped" using this.
What is a line or mirror
This is the distance formula, which is derived from the Pythagorean Theorem.
What is
sqrt((x_2 -x_1)+(y_2-y_1)) ?
This connects two points via the shortest path and continues indefinitely (forever) in both directions
What is a line
A vector is a quantity that communicates both of these things.
What is magnitude and direction
The notation (-y,x) indicates an object will perform this kind of rotation
What is 90 degrees counterclockwise or 270 degrees clockwise
The notation (x,-y) indicates an object will perform this kind of reflection
What is a reflection over the x axis
What is 10?
This is part of a line between two points
What is a line segment
This is the new location of the point (5,2) after applying the translation (x+2,y)
What is (7,2)
This is the new location of the point (5,2) after applying a 90 degree clockwise rotation
What is (2,-5)
This is the new location of the point (5,2) after applying a reflection over the y axis
What is (-5, 2)
The distance between point A (2,5) and point B (6,-7)
What is
sqrt(160) or 4sqrt(10) or 12.65
This is formed when the lines of the y-axis and x-axis intersect in 2D
What is a coordinate plane
This is the new location of the point (5,2) after applying the translation (x-3,y+5)
What is (2,7)
This is the new location of the point (5,2) after applying a 180 degree rotation
What is (-5,-2)
This is the new location of the point (5,2) after reflecting over the line y=-1
What is (5,-4)
A soccer field is a rectangle 90 meters wide and 120 meters long. The coach asks players to run from one corner to the corner diagonally across the field. This is the distance that they run.
What is 150 meters?
This is an angle between 180 and 360 degrees and is exactly 180 degrees away from another angle
What is a reflex angle
This is the new location of the point (5,2) after applying the vector <3,1> AND THEN applying the vector <-7,-3>
What is (1,0)
This is the new location of the point (5,2) after applying a 90 degree clockwise rotation AND THEN a 180 degree rotation.
What is (-2,5)
This is the new location of the point (5,2) after applying a reflection over the line y=x AND then applying a reflection over the x-axis
What is (2,-5)