Angle Relationships Pre-Algebra.

Slides:

Advertisements

Similar presentations

Adjacent, Vertical, Supplementary, and Complementary Angles

Advertisements

Geometry Terms. Acute Angles Acute Triangle Adjacent Angles Alternate Interior Angles Alternate Exterior Angles Angle Circle Complementary Angles Congruent.

Basic Definitions in Geometry

Angle Relationships & Parallel Lines Pre-Algebra.

Objectives Angle Pair Relationships Adjacent Angles Vertical Angles

Measuring Angles Discuss with your group what the following words mean and write them in your journal: Acute Angle Obtuse Angle Right Angle Straight Angle.

Chapter 6 Polygons. Definitions Polygon – many sided figure 3 sided – triangles 4 sided – quadrilaterals 5 sided – pentagons 6 sided – hexagons 7 sided.

Geometry Review. What is a six sided polygon called?

Section 9.1 Points, Lines, Planes Point Segment Ray Line Plane Parallel Perpendicular Skew Intersecting Lines.

The mathematical study of the properties, measurements, and relationships of points, lines, planes, surfaces, angles, and solids. Geometry.

Jeopardy 8.1 – – – – 8.11 Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500 Final Jeopardy.

Section 2.7 PROVE ANGLE PAIR RELATIONSHIPS. In this section… We will continue to look at 2 column proofs The proofs will refer to relationships with angles.

Angle Relationships Geometry 1.5.

1.4 Pairs of Angles Adjacent angles- two angles with a common vertex and common side. (Side by side) Linear pair- a pair of adjacent angles that make a.

10-3 Angle Relationships G2:Properties of 2- dimensional figures.

Quarter 4 Test 3 Review LV. Basic Geometric Terms and Measuring, Drawing & Classifying Angles LVI. Polygons and Symmetry LVII. Angle Relationships LVIII.

Warm Up Name an example of: Obtuse, acute, straight, & adjacent ∠ ’s (Be sure to use 3 letters when naming the ∠ ) B H T A M.

Obj: SWBAT identify and classify quadrilaterals and their properties

CLASSIFYING QUADRILATERALS OBJ: TO DEFINE AND CLASSIFY SPECIAL TYPES OF QUADRILATERALS.

Fill in the blanks with the correct answer The formula to find the sum of the interior angles of a polygon The formula to find each interior angle measure.

Angles Project Endiya, Nick, and Mason 5th period Let’s get learning…

2D Computer Project By: Alexander and Alby. obtuse angle right angle 3 types of angles an angle that measure exactly 90 degrees. an angle that measure.

Angles Review. Right Angle Discuss with your neighbor the definition of a right angle. How would you solve the below missing measure? 42 

Chapter 7 Review.

Triangles and Quadrilaterals

Angle Relationships.

7.G.5 ~ Find measures of angles formed by intersecting lines

Plane figure with segments for sides

Do Now Classify each angle as acute, right, obtuse or straight.

Angle Relationships & Parallel Lines

Objective: To recognize and classify angles and

Angle Relationships & Parallel Lines

Identifying Congruent Figures, Quadrilaterals and Angles

Classifying Quadrilaterals

SQUARE It has four equal sides.

Topic 1-5 Angle Relationships.

All sides have the same length and angles have the same measure.

Angle Pairs More Angle Pairs Definitions Pictures Angles

Geometry Unit Test Review

Polygons TeacherTwins©2015.

Triangles and Quadrilaterals

Types of Angles & Their Relationships

Types of Angles.

Learning Journey – Angles

Classifying Polygons.

Adjacent, Vertical, Supplementary, and Complementary Angles

Angle Relationships Teacher Twins©2014.

Quadrilaterals I by Monica Yuskaitis.

1-5 Angle Relations.

Angle Pair Relationships

Chapter 2 Section 4 Special Angle Pairs Special Angle Pair #1:

Exploring Angles and Angle Relationships

Angles An angle is made up of 2 rays with a common end point called the vertex. Angles are measured in units called degrees. Vertex- the point where the.

Lesson 1: Angles and Angle Classification

Angle Relationships & Parallel Lines

Classifying Quadrilaterals

Classifying Quadrilaterals

Top of book—front of yellow page

Warm Up Your folder How many angles are in this picture?

Classifying Polygons.

Vertical Angles, Linear Pairs, Exterior Angles

Classifying Quadrilaterals

Quadrilaterals Sec 12 – 1D pg

Angle Relationships Teacher Twins©2014.

A Parade of Four-Sided Polygons

Quadrilaterals I by Monica Yuskaitis.

6.1: Classifying Quadrilaterals

Adjacent, Vertical, Supplementary, and Complementary Angles

Presentation transcript:

Angle Relationships Pre-Algebra

Types of Angles Acute Less than 90° Right Exactly 90° Obtuse Greater than 90° Straight Exactly 180° Reflex Greater than 180° Full Rotation Exactly 360°

Adjacent angles are “side by side” and share a common ray. 15º 45º

These are examples of adjacent angles. 45º 80º 35º 55º 130º 50º 85º 20º

These angles are NOT adjacent. 100º 50º 35º 35º 55º 45º

Complementary Angles sum to 90° 50° 40°

Complementary angles add up to 90º. 30º 40º 50º 60º Adjacent and Complementary Angles Complementary Angles but not Adjacent

Supplementary Angles sum to 180° 150° 30°

Supplementary angles add up to 180º. 40º 120º 60º 140º Adjacent and Supplementary Angles Supplementary Angles but not Adjacent

Vertical Angles are opposite one another. Vertical angles are congruent. 100° 100°

Vertical Angles are opposite one another. Vertical angles are congruent. 80° 80°

Interior Angles of Polygons Triangle Quadrilateral (Square, Rectangle, Parallelogram, Trapezoid) The sum of the interior angles of any polygon can be found with the following formula using the number of sides. Sum of Interior angles= (N – 2) x 180 N is the number of sides.

Practice Time!

1) Find the missing angle. ?° 36°

1) Find the missing angle. ?° 36° 90 ° – 36 = 54°

2) Find the missing angle. ?° 64°

2) Find the missing angle. ?° 64° 90 ° – 64° = 26°

3) Solve for x. 2x° 3x°

3) Solve for x. 2x° 3x° 3x° + 2x° = 90° 5x = 90 x =18

4) Solve for x. x + 25 2x + 5

4) Solve for x. x + 25 2x + 5 (2x + 5) + (x + 25) = 90 3x + 30 = 90

5) Find the missing angle. 168° ?°

5) Find the missing angle. 168° ?° 180° – 168° = 12°

6) Find the missing angle. ?° 58°

6) Find the missing angle. ?° 58° 180° – 58° = 122°

7) Solve for x. 5x 4x

7) Solve for x. 5x 4x 4x + 5x = 180 9x = 180 x = 20

8) Solve for x. 3x + 20 2x + 10

8) Solve for x. 3x + 20 2x + 10 (2x + 10) + (3x + 20) = 180

11) Find the missing angles. 70 ° 70 ° b° Hint: The 3 angles in a triangle sum to 180°. d ° 65 °

11) Find the missing angles. 70 ° 70 ° 40° Hint: The 3 angles in a triangle sum to 180°. 75 ° 65 °

12) Find the missing angles. 45 ° 50 ° b° Hint: The 3 angles in a triangle sum to 180°. d ° 75 °

12) Find the missing angles. 45 ° 50 ° 85° Hint: The 3 angles in a triangle sum to 180°. 20° 75 °

The End