Parallel Lines & transformations

Front

What are parallel lines?

Back

Parallel lines are lines in a plane that never meet. They are always the same distance apart and have the same slope.

Tags

CCSS.HSG.CO.A.1

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is given by the equation y = mx + b, where m is the slope and b is the y-intercept.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

How do you determine if two lines are parallel?

Back

Two lines are parallel if they have the same slope but different y-intercepts.

Tags

CCSS.8.EE.B.6

Front

What is a transformation in geometry?

Back

A transformation is an operation that moves or changes a shape in some way, such as translation, rotation, reflection, or dilation.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is a translation?

Back

A translation is a type of transformation that slides a figure in a straight line from one position to another without changing its shape or size.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is a reflection?

Back

A reflection is a transformation that flips a figure over a line, creating a mirror image.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is a dilation?

Back

A dilation is a transformation that changes the size of a figure but keeps its shape the same, defined by a scale factor.

Tags

CCSS.8.G.A.3

Front

What is the rule for translating a point (x, y) 2 units to the right and 1 unit down?

Back

The rule is (x, y) → (x + 2, y - 1).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

How do you find the image of a point after a reflection over a vertical line?

Back

To find the image of a point (x, y) reflected over a vertical line x = a, use the rule (x, y) → (2a - x, y).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Front

What is the effect of a 90° counterclockwise rotation on a point (x, y)?

Back

The effect of a 90° counterclockwise rotation is given by the rule (x, y) → (-y, x).

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5