Geometry SOL Review - 1st Semester

Front

What is a conditional statement in geometry?

Back

A conditional statement is a logical statement that has two parts: a hypothesis (if part) and a conclusion (then part). For example, 'If it is snowing, then it is cold.'

Front

What is the converse of a conditional statement?

Back

The converse of a conditional statement is formed by reversing the hypothesis and conclusion. For example, the converse of 'If it is snowing, then it is cold' is 'If it is cold, then it is snowing.'

Front

How do you determine the order of sides in a triangle from greatest to least?

Back

To determine the order of sides in a triangle from greatest to least, compare the lengths of the sides. The longest side is the greatest, and the shortest side is the least.

Front

What is a valid conclusion in a logical statement?

Back

A valid conclusion is a statement that logically follows from the given premises. For example, from 'If you go to the store, you will spend money' and 'Joe goes to the store,' the valid conclusion is 'Joe spends money.'

Front

What is dilation in geometry?

Back

Dilation is a transformation that alters the size of a figure but not its shape. It is defined by a scale factor, which determines how much the figure is enlarged or reduced.

Front

How do you find the coordinates of a point after dilation?

Back

To find the coordinates of a point after dilation, multiply the original coordinates by the scale factor. For example, if the original point is (x, y) and the scale factor is k, the new coordinates will be (kx, ky).

Front

What is the Pythagorean theorem?

Back

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b). It is expressed as: a² + b² = c².

Front

How do you calculate the length of a side in a right triangle using the Pythagorean theorem?

Back

To calculate the length of a side in a right triangle, rearrange the Pythagorean theorem formula. For example, to find the length of side a, use a = √(c² - b²).

Front

What is the scale factor in dilation?

Back

The scale factor in dilation is a number that describes how much a figure is enlarged or reduced. A scale factor greater than 1 enlarges the figure, while a scale factor between 0 and 1 reduces it.

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). This means that the slopes of the two lines are negative reciprocals of each other.