Chapter 8 Geometry Part 1

1.Introduction 2.Classifying Angles 3.Angle Relationships 4.Classifying Triangles 5.Calculating Missing Angles Day…..

Day 1

Bell Work

Vocabulary _______ _______________ ________________ ______________ A set of points forming a straight path, that continues forever in each direction. An exact location in space that is represented by a dot. Intersecting Lines- Line - Point - Parallel Lines - Perpendicular Lines- Lines that never intersect. Lines that meet or cross at a common point. Lines that form a right angle. (90 o angle) Congruent Lines - Lines having the same measure. Equal in length.

Vocabulary _______ ______ ________ ____________ _____________ The common endpoint of two rays. Formed by two rays with a common end point. Right Angle - Vertex - Straight Angle - Angles - Obtuse Angle - Acute Angle - An angle that measures greater than 90 o but less than An angle that measures exactly 90 o An angle that measures exactly 180 o An angle with a measure greater than 0 o but less than 90 o Degree - The most common unit of measure for angles.

Vocabulary ______________ ___________________ ____________________ ________________ ________ ______________ Two angles who's sum of measure is 180 o. Opposite angles formed by the intersecting of two lines. Vertical angles are congruent. Adjacent Angles - Supplementary Angles - Obtuse Triangle- Vertical Angles - Acute Triangle - Triangle - A triangle having three acute angles Angles that have the same vertex, share a common side and do not overlap. A triangle having one obtuse angle. A figure with three sides and three angles. Complementary Angles - Two angles who's sum of their measure is 90 o

Vocabulary ______________ ________________ __________________ ________ _______ A triangle having no congruent sides. A triangle having one right angle. Equilateral Triangle - Scalene Triangle- 3-D - Right Triangle - 2-D - Plane - Acronym to describe a 2 dimensional figure, has only a length and width, or base and height. A triangle that has three congruent sides. Acronym to describe a 3 dimensional figure. Figures dimensions include a length, a width, and a height. A flat surface that goes on forever in all directions Isosceles Triangle - A triangle that has at least two congruent sides.

Vocabulary _________ _______ ________ The amount of space inside a two dimensional figure. Measured in squared units. The distance around a figure. Found by adding the measure of all sides. Area - Perimeter - Volume - The amount of space inside a 3 dimensional figure. Measured in cubic units.

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Day 2

Bell Work

Vocabulary _______ _______________ ________________ ______________ A set of points forming a straight path, that continues forever in each direction. An exact location in space that is represented by a dot. Intersecting Lines- Line - Point - Parallel Lines - Perpendicular Lines- Lines that never intersect. Lines that meet or cross at a common point. Lines that form a right angle. (90 o angle) Congruent Lines - Lines having the same measure. Equal in length.

Vocabulary _______ ______ ________ ____________ _____________ The common endpoint of two rays. Formed by two rays with a common end point. Right Angle - Vertex - Straight Angle - Angles - Obtuse Angle - Acute Angle - An angle that measures greater than 90 o but less than An angle that measures exactly 90 o An angle that measures exactly 180 o An angle with a measure greater than 0 o but less than 90 o Degree - The most common unit of measure for angles.

Vocabulary ______________ ___________________ ____________________ ________________ ________ ______________ Two angles who's sum of measure is 180 o. Opposite angles formed by the intersecting of two lines. Vertical angles are congruent. Adjacent Angles - Supplementary Angles - Obtuse Triangle- Vertical Angles - Acute Triangle - Triangle - A triangle having three acute angles Angles that have the same vertex, share a common side and do not overlap. A triangle having one obtuse angle. A figure with three sides and three angles. Complimentary Angles - Two angles who's sum of their measure is 90 o

Vocabulary ______________ ________________ __________________ ________ _______ A triangle having no congruent sides. A triangle having one right angle. Equilateral Triangle - Scalene Triangle- 3-D - Right Triangle - 2-D - Plane - Acronym to describe a 2 dimensional figure, has only a length and width. A triangle that has three congruent sides. Acronym to describe a 3 dimensional figure. Figures dimensions include a length, a width, and a height. A flat surface that goes on forever in all directions Isosceles Triangle - A triangle that has at least two congruent sides.

Vocabulary _________ _______ ________ The amount of space inside a two dimensional figure. Measured in squared units. The distance around a figure. Found by adding the measure of all sides. Area - Perimeter - Volume - The amount of space inside a 3 dimensional figure. Measured in cubic units.

Homework Check

I Can…. Classify Types of Angles

Classifying Angles Essential Understanding: An angle is a figure formed by two rays that share an end point, known as a vertex. Angles are classified by their measurement. They are measured by using a tool called a protractor, and are described using degrees. Acute Angles, are angles that measure more than 0 o but less than 90 o Examples: Right Angles, are angles that measure exactly 90 o. This is the most common type of angle. You can think of a right angle as ¼ of a circle (360 o divided by 4 = 90 o ). Examples: Obtuse Angles, are angles that measure more than 90 o but less than 180 o Examples: Straight Angles, are angles that form a straight line and measure exactly 180 o Examples:

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Day 3

Bell Work

Vocabulary _______ _______________ ________________ ______________ A set of points forming a straight path, that continues forever in each direction. An exact location in space that is represented by a dot. Intersecting Lines- Line - Point - Parallel Lines - Perpendicular Lines- Lines that never intersect. Lines that meet or cross at a common point. Lines that form a right angle. (90 o angle) Congruent Lines - Lines having the same measure. Equal in length.

Vocabulary _______ ______ ________ ____________ _____________ The common endpoint of two rays. Formed by two rays with a common end point. Right Angle - Vertex - Straight Angle - Angles - Obtuse Angle - Acute Angle - An angle that measures greater than 90 o but less than An angle that measures exactly 90 o An angle that measures exactly 180 o An angle with a measure greater than 0 o but less than 90 o Degree - The most common unit of measure for angles.

Vocabulary ______________ ___________________ ____________________ ________________ ________ ______________ Two angles who's sum of measure is 180 o. Opposite angles formed by the intersecting of two lines. Vertical angles are congruent. Adjacent Angles - Supplementary Angles - Obtuse Triangle- Vertical Angles - Acute Triangle - Triangle - A triangle having three acute angles Angles that have the same vertex, share a common side and do not overlap. A triangle having one obtuse angle. A figure with three sides and three angles. Complimentary Angles - Two angles who's sum of their measure is 90 o

Vocabulary ______________ ________________ __________________ ________ _______ A triangle having no congruent sides. A triangle having one right angle. Equilateral Triangle - Scalene Triangle- 3-D - Right Triangle - 2-D - Plane - Acronym to describe a 2 dimensional figure, has only a length and width. A triangle that has three congruent sides. Acronym to describe a 3 dimensional figure. Figures dimensions include a length, a width, and a height. A flat surface that goes on forever in all directions Isosceles Triangle - A triangle that has at least two congruent sides.

Vocabulary _________ _______ ________ The amount of space inside a two dimensional figure. Measured in squared units. The distance around a figure. Found by adding the measure of all sides. Area - Perimeter - Volume - The amount of space inside a 3 dimensional figure. Measured in cubic units.

Homework Check

I Can…. Recognize Relationships among angles

Angle Relationships Essential Understanding: Angles share many relationships. They can be congruent, vertical, supplementary, complimentary, or adjacent. Congruent angles, are angles that have the same measure. Examples: Vertical angles, are angles that are formed by two intersecting lines. Vertical angles are congruent. Examples: Supplementary angles, are angles who’s measures add up to 180 o Examples: Complimentary angles, are angles who’s measures add up to 90 o Examples: Adjacent angles, are angles that share a vertex and a common side. Examples: More Examples:

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Day 4

Bell Work

Vocabulary _______ _______________ ________________ ______________ A set of points forming a straight path, that continues forever in each direction. An exact location in space that is represented by a dot. Intersecting Lines- Line - Point - Parallel Lines - Perpendicular Lines- Lines that never intersect. Lines that meet or cross at a common point. Lines that form a right angle. (90 o angle) Congruent Lines - Lines having the same measure. Equal in length.

Vocabulary _______ ______ ________ ____________ _____________ The common endpoint of two rays. Formed by two rays with a common end point. Right Angle - Vertex - Straight Angle - Angles - Obtuse Angle - Acute Angle - An angle that measures greater than 90 o but less than An angle that measures exactly 90 o An angle that measures exactly 180 o An angle with a measure greater than 0 o but less than 90 o Degree - The most common unit of measure for angles.

Vocabulary ______________ ___________________ ____________________ ________________ ________ ______________ Two angles who's sum of measure is 180 o. Opposite angles formed by the intersecting of two lines. Vertical angles are congruent. Adjacent Angles - Supplementary Angles - Obtuse Triangle- Vertical Angles - Acute Triangle - Triangle - A triangle having three acute angles Angles that have the same vertex, share a common side and do not overlap. A triangle having one obtuse angle. A figure with three sides and three angles. Complimentary Angles - Two angles who's sum of their measure is 90 o

Vocabulary ______________ ________________ __________________ ________ _______ A triangle having no congruent sides. A triangle having one right angle. Equilateral Triangle - Scalene Triangle- 3-D - Right Triangle - 2-D - Plane - Acronym to describe a 2 dimensional figure, has only a length and width. A triangle that has three congruent sides. Acronym to describe a 3 dimensional figure. Figures dimensions include a length, a width, and a height. A flat surface that goes on forever in all directions Isosceles Triangle - A triangle that has at least two congruent sides.

Vocabulary _________ _______ ________ The amount of space inside a two dimensional figure. Measured in squared units. The distance around a figure. Found by adding the measure of all sides. Area - Perimeter - Volume - The amount of space inside a 3 dimensional figure. Measured in cubic units.

Homework Check

I Can…. Classify Triangles

Classifying Triangles Essential Understanding: Triangles are classified by the measure of their angles and the measure of their sides. The three angles of a triangle always add up to 180 o. Acute Triangles, are triangles that have three acute angle. Examples: Obtuse Triangles, are triangles that have one obtuse angle. Examples: Right Triangles, are triangles that have one right angle. Examples: Scalene Triangles, are triangles that have no congruent sides or angles. Examples: Isosceles Triangles, are triangles with at least two congruent sides and two congruent angles. Examples: Equilateral Triangles, are triangles with three congruent sides and three congruent angles. Examples: More Examples:

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Day 5

Bell Work

Vocabulary _______ _______________ ________________ ______________ A set of points forming a straight path, that continues forever in each direction. An exact location in space that is represented by a dot. Intersecting Lines- Line - Point - Parallel Lines - Perpendicular Lines- Lines that never intersect. Lines that meet or cross at a common point. Lines that form a right angle. (90 o angle) Congruent Lines - Lines having the same measure. Equal in length.

Vocabulary _______ ______ ________ ____________ _____________ The common endpoint of two rays. Formed by two rays with a common end point. Right Angle - Vertex - Straight Angle - Angles - Obtuse Angle - Acute Angle - An angle that measures greater than 90 o but less than An angle that measures exactly 90 o An angle that measures exactly 180 o An angle with a measure greater than 0 o but less than 90 o Degree - The most common unit of measure for angles.

Vocabulary ______________ ___________________ ____________________ ________________ ________ ______________ Two angles who's sum of measure is 180 o. Opposite angles formed by the intersecting of two lines. Vertical angles are congruent. Adjacent Angles - Supplementary Angles - Obtuse Triangle- Vertical Angles - Acute Triangle - Triangle - A triangle having three acute angles Angles that have the same vertex, share a common side and do not overlap. A triangle having one obtuse angle. A figure with three sides and three angles. Complimentary Angles - Two angles who's sum of their measure is 90 o

Vocabulary ______________ ________________ __________________ ________ _______ A triangle having no congruent sides. A triangle having one right angle. Equilateral Triangle - Scalene Triangle- 3-D - Right Triangle - 2-D - Plane - Acronym to describe a 2 dimensional figure, has only a length and width. A triangle that has three congruent sides. Acronym to describe a 3 dimensional figure. Figures dimensions include a length, a width, and a height. A flat surface that goes on forever in all directions Isosceles Triangle - A triangle that has at least two congruent sides.

Vocabulary _________ _______ ________ The amount of space inside a two dimensional figure. Measured in squared units. The distance around a figure. Found by adding the measure of all sides. Area - Perimeter - Volume - The amount of space inside a 3 dimensional figure. Measured in cubic units.

Homework Check

I Can…. Calculate missing angles

Calculating Missing Angles Essential Understanding: Triangles are made up of three angles and three lines. The sum of all three angles is always 180 o. It is simple to find the measure of an unknown angle, when two angles are given. Simply subtract the sum of the two know angles from 180 o. Examples: To find the measure of an unknown angle when the other angles are not given can be a bit trickier. To do this you must rely on your knowledge of angle relationships and their classifications (i.e. vertical angles, complementary angles, supplementary angles, scalene triangle, isosceles triangles, and equilateral triangles.) Examples:

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