OMS 8th Math Jeopardy

translation

100

Opposite sides of quadrilateral A⁢B⁢C⁢D are parallel and the same length. What is true about opposite sides of A′⁢B′⁢C′⁢D′?

they are also parallel and the same length 

200

the point 5,-2 is translated to the left 3 units what are the new coordinates 

2,-2

300

Point P(-6, 3) is translated by 6 units left and 4 units up. What are the coordinates of the translated point?

-10,7

400

 The coordinates of the line segment joining the points are P(-7, 4) and Q(-1, 8). If the line segment is translated by 5 units right and 3 units down, find the new coordinates.
Solution

P (-2, 1)

Q (4, 5)

500

A shape is formed with vertices (1, 8), (−3, −5), (−4, 7), and (−6, −2). Plot the image of this shape with respect to the translation (x, y) → (x + 6, y + 1).

a'7,9

b'3,-4

c'2,8

d'0,-1

Rotation

100

if shape a is in quadrant 1 and its rotated 90 degrees counter clockwise what quadrant will shpe B be in

quadrent 2

200

x,y changes to what then its a 180 turn

-x,-y

300

x,y changes to what when its 270 counter clockwise

y,-x

400

x,y turns to what when its 270 clockwise

-y,x

500

if L is(2,6) M is (8,8) and k is (7,4) if the figure is rotated 180 degrees what are the new coordinates of LMK

L -2,-6

m -8,-8

k -7,-4

Reflections

100

point A (2,4) is flipped over the y axis what is A'

-2,4

200

consider the pair x,y if flipped over the x axis what will the order pair change to

x,-y

300

consider the orders pair x,y if the orders pair is flipped over the y axis what will the pair change to

-x,y

400

A trapezoid is in the second quadrant of the coordinate plane with vertices at the point shown.Where do you think the image of the trapezoid will end up if it is reflected over the y-axis?

first

500

A trapezoid is in the second quadrant of the coordinate plane with vertices at the point shown Where do you think the image of the trapezoid will end up if it is reflected over the x-axis?

third

Dilations

100

whats the equation to get a knew dilated image

preimage x scale factor = image

200

what does a reductuion mean

smaller

300

what does an enlargement mean

larger

400

a triangle has the sides 4, 5, 3 if the triangle goes under a dilation of 2 what is the knew sides

8,10,6

500

square QRST has the coordinates Q -3,6 R 1,6 S 1,2 and T-3,2 is the square QRST Undergoes a dilation of 3 what is the coordinate of S'

3,6

Solving equations

100

10+6x=34 what does x equal

x=4

200

8x-5=11 what does x equal?

x=2

300

-5(2-x)=6+3(x-2)

5=x

400

20x+5=5x+65

x=4

500

-2x+9=-5x+2

x=-2 1/3