Transformations

Front

What is a transformation in geometry?

Back

A transformation is an operation that moves or changes a shape in some way on a coordinate plane.

Tags

CCSS.HSG.CO.A.2

Front

What are the four main types of transformations?

Back

The four main types of transformations are translation, rotation, reflection, and dilation.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

How do you translate a point (x, y) 2 units to the right and 3 units up?

Back

The new coordinates will be (x+2, y+3).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What happens to the coordinates of a point when it is reflected across the x-axis?

Back

The y-coordinate changes sign, so (x, y) becomes (x, -y).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

If point A(2, 3) is translated 4 units left and 1 unit down, what are the new coordinates?

Back

The new coordinates are (-2, 2).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the result of reflecting the point (5, -7) across the y-axis?

Back

The new coordinates will be (-5, -7).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

How do you perform a rotation of 90 degrees counterclockwise around the origin?

Back

The new coordinates (x, y) become (-y, x).

Tags

CCSS.HSG.CO.A.5

CCSS.8.G.A.3

Front

What is the effect of a dilation with a scale factor of 2 on the point (3, 4)?

Back

The new coordinates will be (6, 8).

Tags

CCSS.8.G.A.3

Front

If triangle ABC has vertices A(1, 2), B(3, 4), and C(5, 6), what are the coordinates after a translation of (2, -3)?

Back

The new coordinates will be A(3, -1), B(5, 1), C(7, 3).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the formula for translating a point (x, y) by (a, b)?

Back

The new coordinates will be (x+a, y+b).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5