Logic and Reasoning Flashcard

Front

What is the Segment Addition Postulate?

Back

If a segment is divided into two parts, the sum of the parts is equal to the whole.

Front

What is a biconditional statement?

Back

A biconditional statement is a statement that combines two conditional statements, indicating that both conditions are true or false together. Example: 'You can vote if and only if you are 18 years old.'

Front

Calculate the volume of a rectangular prism with length 5 cm, width 3 cm, and height 6 cm.

Back

90 cm³

Front

What are opposite rays?

Back

Opposite rays are two rays that share the same endpoint and extend in opposite directions.

Front

What is a midpoint?

Back

A midpoint is a point that divides a segment into two equal parts.

Front

If Q is the midpoint of PR and SP = 13, what is SQ if RS = 163?

Back

SQ = 88.

Front

What is the definition of a ray in geometry?

Back

A ray is a part of a line that starts at a point and extends infinitely in one direction.

Front

What does it mean for two angles to be bisected?

Back

To bisect an angle means to divide it into two equal angles.

Front

If m∠PRQ = (10x + 9)° and m∠QRS = (15x - 6)°, how do you find m∠QRS?

Back

Set m∠PRQ equal to m∠QRS and solve for x, then substitute x back to find m∠QRS.

Front

What is the formula for the volume of a cylinder?

Back

Volume = πr²h, where r is the radius and h is the height.