Transformations & Symmetry

Transformations 1

100

Name the coordinates of point H (-2,8) after being reflected over the x-axis.

(-2, -8)

200

Name the coordinates of point F (4, 7) after being reflected over the line y=x.

(7, 4)

300

Name the coordinates of point D (6, 1) after a 180-degree rotation.

(-6, -1)

400

Give the coordinates of Point C (10, 3) after a 270 degree rotation counterclockwise.

(3, -10)

500

A polygon with a vertex at (5,8) is translated left 3 units and up 1 unit. What are the coordinates of this vertex after translation?

(2,9)

Transformations 2

100

Name the coordinates of point G (11,3) after being reflected over the y-axis.

What is (-11,3)?

200

In which Quadrant will a polygon in Quadrant I be after a positive 90-degree rotation?

Quadrant II

300

A transformation that keeps the exact shape (such as a reflection, rotation, or translation) is called:

isometry

400

Vertex B is at (6,12).  Name the new coordinates

(x,y) --> (x + 4, y - 4)

(10, 8)

500

Vertex A of a figure is located at (-8,5). The polygon is translated down 5 units and to the right 3 units. Name the new coordinates of vertex A.

What is (-5,0)?

Parallel and Perpendicular Lines

100

2 lines that intersect and create right angles are called:

perpendicular

200

A line that is parallel to y= 7x - 5 would have a slope of:

7

300

A line that is perpendicular to 

y= 7x - 5 would have a slope of:

-1/7

400

Write an equation that is perpendicular to y = -1/5x + 2 and passes through (0,6)

y = 5x + 6

500

Write an equation that is parallel to y = 1/6x + 2 and passes through (0,-3)

y = 1/6x - 3

Symmetry

100

How many lines of symmetry does a square have?

4

200

How many lines of symmetry does a parallelogram have?

0

300

You can find the degree of rotational symmetry in a regular polygon by dividing ______ by the number of sides.

360

400

What is the degree of rotation in a regular hexagon?

360/6 = 60 degrees

500

A _____-sided polygon will have rotational symmetry at 30 degrees.

12-sided

Pythagorean Theorem and Distance Formula

100

Name the Pythagorean Theorem.

a² + b² = c²

200

Find side c.

a= 7, b= 3, c = ?

square root of 58 (about 7.62)

300

Find the distance between (0, 6) and (4, 4)

square root of 20 (about 4.47)

400

Find the distance between (-10, 4) and (6, -3)

square root of 305 (about 17.46)

500

Find the missing leg.

a= 3, b = ?, c = 10

 square root of 91 (about 9.54)