Lines of Symmetry pg. 5 (LT #1)

Reflection Symmetry

When a graph or a picture can be folded so that both sides will perfectly match.

LINE of SYMMETRY: The line where the fold would be (as in the reflection symmetry defn.)

Some Shapes have more than one line of symmetry.

Examples:

One line of symmetry

Two lines of symmetry

Eight lines of symmetry

Perimeter and Area of a Figure pg. 15(LT #2)

Perimeter (Units) The distance around the exterior (outside)

on a flat surface. It is the total length of the boundary that

encloses the interior (inside) region.

Area (units²) The number of square units needed to fill up

a region on a flat surface. For a rectangle, the area is found by

multiplying its length and width. You will learn about areas of other shapes

later in this course.

Solving Linear Equations pg. 19 (LT #3)

Steps to solve equations: Follow the steps listed below. Some

equations may not contain all steps.

1) Distributive property

2) Combine Like Terms

3) Move x terms to one side of the equation.

4) Undo operations to solve for the variable.

5) Check your answer

Example 3x – 2(x –4) = 2x –6

1) Distribute: 3x –2x + 4 = 2x – 6

2) Combine Like Terms: x + 4 = 2x – 6

3) Move x terms: -x -x

4 = x –6

4) Undo operations: +6 +6

10 = x

5) Check your answer!

Types of Angles pg. 24 (LT #4)

Acute: Any angle with measure between (but not including) 0° and 90°

Right: Any angle that measures 90° Obtuse: Any angle with measure between

(but not including) 90° and 180° Straight: Straight angles have a measure

of 180° and are formed when the sides of the angle form a straight line.

Circular: Any angle that measures 360°

Graph an Equationpg. 29 (LT #5)

Graph either by making a table or by using the slope and y-intercept Create a table of values for a table, or start

at the y-intercept and then use the slope to plot other points.

Make sure to have a COMPLETE Graph every time you graph.

Rigid Transformationspg. 34 and 38 (LT #6)

Types of Transformations

Translation: preserves the size, shape and orientation of a figure while SLIDING it to a new location.

Reflection: preserves the size and shape of a figure across a line to form a mirror image (FLIP). The mirror line is a line of reflection.

Rotation: preserves the size and shape while TURNING an entire figure about a fixed point. Figures can be turned clockwise or counterclockwise.

Prime Notation: Notation for labeling a new figure after a transformation.

Ex: Triangle ABC is transformed. It’s new label would be triangle A’B’C’ (pronounced A prime, B prime, C prime) to show exactly how the new points correspond to the points in the original shape. We also say Triangle ABC is mapped to Triangle A’B’C’.

Relationships between the original figure and the REFLECTED figure.

Each line segment connecting each image point with its corresponding point on the original figure is perpendicular to the line of reflection.

The line of reflection bisects the line segment connecting each image point with its corresponding point on the original figure.

Polygons pg. 42 (LT #7)

Polygon: a two-dimensional closed figure made up of straight line segments connected end-to-end. These segments may not cross (intersect) at any other points.

Regular Polygon: All the sides have equal length and all angles have equal measure.

Slope of a line and Parallel and Perpendicular slopes pg. 47 (LT #8)

Slope:

Slope indicates both how steep the line is and its direction, upward (positive) or downward (negative) from left to right.

Horizontal lines have a slope of zero. Vertical lines have an undefined slope. In y = mx +b, m is used to denote the

slope.

vertical change yhorizontal change x

Parallel and perpendicular lines

Parallel lines NEVER intersect. Parallel lines have the SAME SLOPE. Perpendicular lines intersect at a right

angle. Perpendicular lines have opposite

reciprocal slopes. Ex: If one line has a slope of , then any line perpendicular to it has a slope of .

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Venn Diagrams pg. 51 (LT #9)

A Venn Diagram is a tool used to classify objects. It is usually composed of two or more circles that represent different conditions. An item is placed in the Venn diagram in the appropriate position based on the conditions it meets.

Example: