Constructions Segments l l l Materials compass ruler

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Constructions: Segments l l l Materials: compass, ruler, and pencil Construct congruent segments and

Constructions: Segments l l l Materials: compass, ruler, and pencil Construct congruent segments and bisect segments (p. 14) On a 3 x 2 sheet of paper, design 3 congruent segments and bisect each one with another segment

Warm- Up: Angles l www. Mathopenref. com

Warm- Up: Angles l www. Mathopenref. com

Exploring Angles l l Angle is a figure form by 2 noncollinear rays with

Exploring Angles l l Angle is a figure form by 2 noncollinear rays with a common endpoint Rays -> sides point -> vertex l Congruent angles are angles that have the same measures l Angle bisector divides the angle into two congruent angles

Rays l Ray- extends infinitely in one direction l Opposite ray- 2 ray with

Rays l Ray- extends infinitely in one direction l Opposite ray- 2 ray with a common point. – – – Line Straight angle 180 degrees

Degrees: Measuring Angles We measure the size of an angle using degrees. Example: Here

Degrees: Measuring Angles We measure the size of an angle using degrees. Example: Here are some examples of angles and their degree measurements.

Protractor A dvice used to measure angles.

Protractor A dvice used to measure angles.

3 Distinct Parts of Angles l l LABEL EACH 1. exterior 2. interior 3.

3 Distinct Parts of Angles l l LABEL EACH 1. exterior 2. interior 3. angle

Name the angle l l Sides 1. 2. Vertex 1. l Angle 1. 2.

Name the angle l l Sides 1. 2. Vertex 1. l Angle 1. 2. 3. 4.

Acute Angles An acute angle is an angle measuring between 0 and 90 degrees.

Acute Angles An acute angle is an angle measuring between 0 and 90 degrees. Example:

Obtuse Angles An obtuse angle is an angle measuring between 90 and 180 degrees.

Obtuse Angles An obtuse angle is an angle measuring between 90 and 180 degrees. Example:

Right Angles A right angle is an angle measuring 90 degrees. Examples:

Right Angles A right angle is an angle measuring 90 degrees. Examples:

Straight Angles l l l Exactly 180 degrees straight line

Straight Angles l l l Exactly 180 degrees straight line

How to measure angles? How to construct congruent angles? How to identify pairs of

How to measure angles? How to construct congruent angles? How to identify pairs of angles and find the missing measure? Review State whether the following are acute, right, or obtuse. 1. 3. 5. acute obtuse right 2. 4. ? acute ? obtuse

How toto measure angles? How find the measure of angles? How to construct congruent

How toto measure angles? How find the measure of angles? How to construct congruent angles? How identify pairs ofand angles? How toto identify pairs of angles find the missing measure? Warm-Up: F E 20 70 90 D C 70 J G 90 20 H

How toto measure angles? How find the measure of angles? How to construct congruent

How toto measure angles? How find the measure of angles? How to construct congruent angles? How identify pairs ofand angles? How toto identify pairs of angles find the missing measure? Exploring Angles l l l Measure each angle using a protractor. Identify and name each angle Relate to the real world

How toto measure angles? How find the measure of angles? How to construct congruent

How toto measure angles? How find the measure of angles? How to construct congruent angles? How identify pairs ofand angles? How toto identify pairs of angles find the missing measure? Constructions: Angles l l Materials: straightedge, compass, protractor, & pencil Constructions: – – – congruent angles Bisect an angle Perpendicular lines

Warm-up: Find missing measures B C 68 A 52 60 G 52 60 68

Warm-up: Find missing measures B C 68 A 52 60 G 52 60 68 F E D