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 or label ∆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 or turn it?

200

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

What is (-5,-4)?

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)?

Symmetries of Regular Polygons

100

What are the two requirements for a polygon to be a "regular" polygon?

What are all equal sides and congruent angles?

200

This is the name of a nine sided polygon. 

What is a nonagon?

300

How many lines of symmetry does a septagon have?

What is 7?

400

Name two types of quadrilaterals that only have a single line of symmetry. 

What are kites or [isosceles] trapezoids?

500

Every square has four lines of symmetry consisting of two types of lines. Name these two types of lines.

What are perpendicular bisectors and diagonals?

Angles of Rotation and Properties of Polygons

100

This is the reason a circle is not a polygon.

What is a circle does not have straight sides? 

200

Which transformation does not result in a congruent figure? (i.e. is NOT a rigid motion?)

What is a dilation?

300

Write the algebraic formula for finding the smallest angle of rotation given the number of sides n of a figure. 

What is 360/n?

400

What are the angles of rotation for a pentagon?

What are 72^o, 144^o, 216^o, 288^o, and 360^o?

500

Of the following, this is the only polygon to NOT include a rotational symmetry of 180^o: square, pentagon, hexagon, octagon 

What is a pentagon?