Unit 3 Review--Final Exam

Front

What is the formula for the area of a triangle?

Back

The area of a triangle is given by the formula: \( \text{Area} = \frac{1}{2} \times \text{base} \times \text{height} \) or \( \text{Area} = \frac{1}{2} h \cdot c \) where \( c \) is the length of the base.

Front

What does it mean for two triangles to be similar?

Back

Two triangles are similar if their corresponding angles are equal and their corresponding sides are in proportion.

Front

What is a rigid transformation?

Back

A rigid transformation is a transformation that preserves the shape and size of a figure, including translations, rotations, and reflections.

Front

What is the definition of dilation in geometry?

Back

Dilation is a transformation that alters the size of a figure but keeps its shape, defined by a center point and a scale factor.

Front

What is the relationship between parallel lines and corresponding angles?

Back

When two parallel lines are cut by a transversal, the corresponding angles are equal.

Front

How do you find the length of a segment when given parallel segments?

Back

If segment A'B' is parallel to segment AB, the lengths of the segments can be equal or proportional depending on the context.

Front

What is the significance of altitude in a triangle?

Back

The altitude of a triangle is a perpendicular segment from a vertex to the line containing the opposite side, and it is used to calculate the area.

Front

What is the scale factor in a dilation?

Back

The scale factor in a dilation is the ratio of the length of a side of the image to the length of the corresponding side of the original figure.

Front

What is the definition of vertical lines?

Back

Vertical lines are lines that run up and down and have undefined slopes; they are perpendicular to horizontal lines.

Front

How do you calculate the length of a segment using coordinates?

Back

The length of a segment between two points \( (x_1, y_1) \) and \( (x_2, y_2) \) can be calculated using the distance formula: \( d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \).