Geometry Review 3.5, 3.7, 3.8

Front

What does it mean for two lines to be perpendicular?

Back

Two lines are perpendicular if they intersect at a right angle (90 degrees). The slopes of perpendicular lines are negative reciprocals of each other.

Tags

CCSS.4.G.A.1

CCSS.HSG.CO.A.1

Front

How do you find the slope of a line given two points?

Back

The slope (m) of a line passing through two points (x1, y1) and (x2, y2) is calculated using the formula: m = (y2 - y1) / (x2 - x1).

Tags

CCSS.8.EE.B.5

Front

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

Back

The slope-intercept form of a linear equation is 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 a line is parallel to another line?

Back

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

Tags

CCSS.4.G.A.1

CCSS.HSG.CO.A.1

Front

What is the significance of the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of b in the slope-intercept form y = mx + b.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

What is the formula for finding the distance between two points in a coordinate plane?

Back

The distance (d) between two points (x1, y1) and (x2, y2) is given by the formula: d = √((x2 - x1)² + (y2 - y1)²).

Tags

CCSS.HSG.GPE.B.7

Front

What is the relationship between the slopes of two lines that are perpendicular?

Back

The slopes of two perpendicular lines are negative reciprocals of each other, meaning if one line has a slope of m, the other line's slope will be -1/m.

Tags

CCSS.HSG.CO.A.1

Front

How do you convert the standard form of a linear equation to slope-intercept form?

Back

To convert from standard form Ax + By = C to slope-intercept form y = mx + b, solve for y: y = -A/B * x + C/B.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

What is the definition of an angle?

Back

An angle is formed by two rays (sides of the angle) that share a common endpoint (the vertex). The measure of an angle is the amount of rotation from one ray to the other.

Front

What is the sum of the interior angles of a triangle?

Back

The sum of the interior angles of a triangle is always 180 degrees.

Tags

CCSS.8.G.A.5