Practice ACP

Front

What is the midpoint formula for a line segment with endpoints (x1, y1) and (x2, y2)?

Back

The midpoint M is given by M = ((x1 + x2)/2, (y1 + y2)/2).

Tags

CCSS.HSG.GPE.B.6

Front

How do you determine the coordinates of a point T if C is one endpoint and M is the midpoint?

Back

Use the formula: T = (2M_x - C_x, 2M_y - C_y), where M is the midpoint and C is the known endpoint.

Tags

CCSS.HSG.GPE.B.6

Front

What is the slope of a line given two points (x1, y1) and (x2, y2)?

Back

The slope m is calculated as m = (y2 - y1) / (x2 - x1).

Tags

CCSS.8.EE.B.5

Front

What does it mean for two lines to be parallel in terms of their slopes?

Back

Two lines are parallel if they have the same slope.

Tags

CCSS.8.EE.B.5

Front

What is the equation of a line in slope-intercept form?

Back

The equation is given by 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

What is the definition of a conditional statement in logic?

Back

A conditional statement is an if-then statement, expressed as 'If P, then Q'.

Tags

CCSS.RI.8.1

CCSS.RI.8.8

CCSS.RL.11-12.1

CCSS.RL.8.1

CCSS.RL.9-10.1

Front

What is the inverse of a conditional statement?

Back

The inverse is formed by negating both the hypothesis and the conclusion: 'If not P, then not Q'.

Front

What is the definition of an apothem in geometry?

Back

An apothem is a line segment from the center of a regular polygon perpendicular to one of its sides.

Front

How do you calculate the length of the apothem of a regular polygon?

Back

The apothem a can be calculated using the formula a = (s / (2 * tan(π/n))), where s is the side length and n is the number of sides.

Tags

CCSS.6.G.A.1

Front

What is the relationship between the sides of an equilateral triangle?

Back

In an equilateral triangle, all three sides are of equal length.

Tags

CCSS.4.G.A.2