Congruence and Transformations

What is the image of the point (-1, 5) after a translation up 2 and left 3?

• (-3, 7)

• (1, 7)

• (1, 3)

• (-4, 7)

<x,y> --> <-x, -y> What does this transformation do?

• Reflect over x axis, reflect over y axis

• reflect over y axis only

• reflect over x axis only

• rotate 90 degrees around the origin

Two figures are congruent if and only if...

• they are the same size and same shape

• there is a sequence of transformations that maps one to the other

• there is a sequence of rigid transformations that maps one to the other

• Mr. Shedd says they are.

Describe the transformation shown

• a reflection

• a rotation around line AB

• a reflection over line AB

• A rotation around point A

The point P(2,4) is rotated 180 degrees around the origin. Where is P'?

• (-2,-4)

• (-2, 4)

• (2, -4)

• (-4,-2)

Are these two shapes congruent?

• Yes, a rotation of 180 degrees around (0,0) will map one to the other

• Yes, same size same shape

• No, different size, different shape

• No, no rigid motions can map one to the other.

The image of the point A (2,2) after a reflection over the x-axis is...

• A'(2, -2)

• A'(-2, 2)

• A'(-2, -2)

• A'(2, 2)

Point B is (3, 1). B' is (-1, 3). What transformation took place?

• 90 degree rotation around the origin

• -90 degree rotation around the origin

• reflection over the y-axis

• translation down 4 and right 2

Point C is (0, 1). C' is (0, -1). Which transformation could have taken place?

• A rotation 90 degrees around the origin.

• A reflection over the y-axis

• A translation down 2.

• A dilation with a scale factor of 2.

What happened first?

• a translation up

• a translation diagonally up and right

• a reflection over the y-axis

• a rotation around the origin of 90 degrees