Translations
Reflections
Rotations
Old Material
100

Horizontal translation effects which coordinate?

x

100

What is the coordinate notation for reflection over the x - axis.

(x, y) -> (x, -y)

100

What is the coordinate notation when coordinated are rotated 90 degrees counterclockwise about the origin.

(x, y) -> (-y, x)

100

What is the converse of this statement. Is it true or false. Need both to get points.

If it is raining then the ground is wet.

If the ground is wet then it is raining.

This is a false statement.

200

Translate square ABCD 6 units to the right to form A'B'C'D'. The coordinate notation (x,y) -> (x, y+6). True or False

False

200

A graph has a line segment AB at A(2,2) and B(3,4).

Which are the new coordinates of each point after reflecting the pre-image over the y-axis?

A'(-2, 2) and B'(-3, 4)

200

Triangle ABC is located at A(-3, 3), B(-2, 5) and C(-1,3). Determine the coordinates of A', B', and C' after 90 degrees counterclockwise rotation about the origin

A'(-3, -3), B'(-5, -2), and C'(-3, -1)

200

What is the midpoint of the following point.

(2,4) and (5, -1)

(3.5, 1.5)

or

(7/2, 3/2)

300

If point A was located at (-4, 4) and was translated 11 units to the right. Where would the new point be located at.

(7, 4)

300

A graph has a line segment CD at C(7,4) and D(6,2).

Which are the new coordinates of each point after reflecting the pre-image over the x-axis?

C'(7, -4) and D'(6, -2)
300

Triangle ABC is located at A(-3, 3), B(-2, 5) and C(-1, 3). Determine the coordinates of A'B' and C' after 90 degrees counterclockwise rotation about the origin.

A'(-3, -3), B'(-5, -2), and C(-3, -1)

300
What is the length of the hypotenuse if the sides of a triangle has a length of 24 and 32?

40

400

Technical difficulties. Mr. Salcedo needs to put a question on the screen due to it being a picture... 

(x, y) -> (x - 9, y - 2)

400

Determine the coordinates of the pre-image for quadrilateral P'Q'R'S' which resulted from reflecting quadrilateral PQRS across the y-axis and then translating it 2 units down.

P(-3, 2) Q(-1, -2) R(-3, -3) and S(-6, -2)

P'(3,0),  Q'(1, -4),  R'(3, -5)  and S'(6, -4)

400

Rotate parallelogram DEFG about the origin 180° counterclockwise. 

D(-5,6) E(-5,3) F(-7,2) and G(-7,5)

D'(5,-6) E'(5,-3) F(7,-2) and G(7,-5)

400

There are 3 undefined terms in geometry. Name all 3 of the terms.

Points, Lines, and Planes

500

The vertices of parallelogram ABCD are A(-3, 4), B(-4, 2), C(1, 4), and D(0,2). Determine the vertex coordinates image of A'B'C'D' if parallelogram ABCD is translated 10 units up and 6 units to the left.

A'(-9, 14), B'(-10, 12), C'(-5, 14), D'(-6, 12)

500

What will be your new point for A and B when A(-9,7) and B(-5, 9) when we reflect the points over the x - axis and then reflect the point over the y - axis

A'(9,-7) and B'(5,-9)

500

Rotate the following points 90 degrees clockwise. and then translate 5 units down. What are the new points?

A(-4, 1), B(-3, 3), C(-1, 3) and D(0, 1)

A'(1, -1), B'(3, -2), C'(3, -6) and D'(1, -5)

500

What is the area of the following regular pentagon with the following information.

One side is the length of 7 and the apothem is the length of 6

A = 21