CCG Final Review Semester 1

Front

What is a transformation in geometry?

Back

A transformation is an operation that moves or changes a shape in some way to produce a new shape. Common types include translation, rotation, reflection, and dilation.

Front

Define translation in geometry.

Back

Translation is a type of transformation that slides a shape from one position to another without turning it. It is defined by a vector that indicates the direction and distance of the slide.

Front

What does it mean for triangles to be similar?

Back

Triangles are similar if they have the same shape but not necessarily the same size. This can be established through criteria such as AA (Angle-Angle), SAS (Side-Angle-Side), or SSS (Side-Side-Side) similarity.

Front

Explain SAS similarity criterion.

Back

SAS similarity states that if two sides of one triangle are proportional to two sides of another triangle and the included angles are equal, then the triangles are similar.

Front

What is the probability of an event?

Back

Probability is a measure of the likelihood that an event will occur, expressed as a number between 0 (impossible event) and 1 (certain event). It can be calculated as the number of favorable outcomes divided by the total number of possible outcomes.

Front

How do you calculate the probability of not selecting a specific item?

Back

Front

What is a reflection in geometry?

Back

A reflection is a transformation that flips a shape over a line, creating a mirror image. For example, reflecting a point across the y-axis changes its x-coordinate to its opposite.

Front

What is the new coordinate of a point after reflection over the y-axis?

Back

When a point (x, y) is reflected over the y-axis, its new coordinates become (-x, y). For example, the reflection of (-3, 2) is (3, 2).

Front

Define the term 'similarity statement' in geometry.

Back

A similarity statement is a statement that indicates that two geometric figures are similar. It typically includes the names of the figures and the criteria used to establish their similarity.

Front

What is the total number of outcomes when selecting from a set of items?

Back

The total number of outcomes is the sum of all items in the set. For example, if there are 4 yellow, 6 orange, 3 green, 5 blue, and 2 brown M&Ms, the total is 4 + 6 + 3 + 5 + 2 = 20.