Transformations

Translations

100

A translation is when you do this to a figure.

What is move it right, left, up, or down?

200

Find the new coordinates of (10,12) if you translate the point three units left and 4 units up.

What is (7,16)?

300

Write the notation of point (x,y) after it moves 3 spots to the left and 7 spots up.

What is (x-3,y+7)?

400

Describe the translation for this notation: (x,y) --> (x + 8, y + 4)

What is a translation of 8 units to the right and 4 units up?

500

Graph ∆LMN after a translation of 6 units to the right and 4 units down. L(0,3) M(6,4) N(3,9)

What is L'(6,-1), M'(12,0), N'(9,5)?

Reflections

100

A reflection is when you do this to a figure.

What is flip it or make a mirror image of it?

200

Find the new coordinates of (3,-2) after you reflect the point over the x-axis.

What is (-3,-2)?

300

Write the notation of point (x,y) after it is reflected over the y-axis.

What is (-x,y)?

400

A picture with one point (-3,4) was reflected over the line y=x. What should be the new coordinates of the point?

What is (4,-3)?

500

Graph rectangle DEFG after a reflection over the line y=x. D(5,5) E(5,8) F(8,8) G(8,5)

What is D'(5,5), E'(8,5), F'(8,8), G'(5,8)?

Rotations

100

A rotation is when you do this to a figure.

What is spin it?

200

Find the new coordinates of (5,4) after you rotate the point with 180º.

What is (4,5)?

300

Write the notation of point (x,y) after it rotates 90º clockwise.

What is (y,-x)?

400

Figure QRST has vertices Q(2,-1), R (6,-1), S(6,-3) and T(2,-3). Which will be the coordinates of vertex R after the rectangle is rotated 90º counterclockwise about the origin?

What is (1,6)?

500

Graph ∆JKL after a rotation of 180º about the origin. J(5,6) K(7,9) L (1,2)

What is J(-5,-6), L(-7,-9), L(-1,-2)?

Math History

100

When was the first modern calculator invented?

What is 1622

200

When was Geometry first found and used?

What is about 5000 years ago in ancient Egypt and Babylonia (modern day Iraq).

300

Why are there 360 degrees in a circle instead of 100?

We don't know! Our best guess is that ancient babylonians noticed that the sun moved about 1 degree in the sky every day, so over a year it moved about 360 degrees.

400

What is Pythagoras known for besides the pythagorean theorem?

He was a cult leader, founding the Divine Brotherhood of Pythagoras.