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CHAPTER ELEVEN MATH 1A POWERPOINT PRESENTATION GEOMETRY

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Page 1: CHAPTER ELEVEN MATH 1A POWERPOINT PRESENTATION GEOMETRY

CHAPTER ELEVEN MATH 1A POWERPOINT PRESENTATION

GEOMETRY

Page 2: CHAPTER ELEVEN MATH 1A POWERPOINT PRESENTATION GEOMETRY

LEARNING TARGETS

• AFTER YOU COMPLETE THIS CHAPTER, YOU WILL BE ABLE TO:

• MEASURE AND CLASSIFY ANGLES• NAME AND CLASSIFY TRIANGLES• FIND THE MEASURE OF ANGLES IN

TRIANGLES• IDENTIFY QUADRILATERALS• DETERMIN DEGREES IN POLYGONS

Page 3: CHAPTER ELEVEN MATH 1A POWERPOINT PRESENTATION GEOMETRY

VOCABULARY

• INTERSECTION: THE POINT WHERE TWO LINES CROSS IN A FIGURE

• RAY: PART OF A LINE THAT HAS ONE ENDPOINT AND EXTENDS INDEFINIETLY IN ONE DIRECTION

• VERTEX: A COMMON POINT TO BOTH SIDES OF AN ANGLE

• PROTRACTOR: A TOOL USED TO DRAW AND MEASURE ANGLES

Page 4: CHAPTER ELEVEN MATH 1A POWERPOINT PRESENTATION GEOMETRY

INTERSECTING LINES

Page 5: CHAPTER ELEVEN MATH 1A POWERPOINT PRESENTATION GEOMETRY

VERTEX/ANGLE/RAY

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PROTRACTOR

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Identifying & Classifying Angles

• Adjacent: two angles with the same vertex that share a side

• Vertical: angles formed by intersecting lines• Acute: an angle < 90⁰• Obtuse: an angle > 90⁰• Complementary Angles = 90⁰• Supplementary Angles = 180⁰

Page 8: CHAPTER ELEVEN MATH 1A POWERPOINT PRESENTATION GEOMETRY

ADJACENT ANGLES

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VERTICAL ANGLES

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Acute/Obtuse

Page 11: CHAPTER ELEVEN MATH 1A POWERPOINT PRESENTATION GEOMETRY

Complementary/Supplementary

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Internal/External Angles

• Internal Angles: formed by extending one side of a polygon at any vertex

• Internal Angles: any angle within a polygon• Triangle – 180⁰ of internal angles• Quadrilateral (4 sided figures) – 360⁰ of internal

angles• Pentagon – 540⁰ of internal angles• Hexagon – 720⁰ of internal angles• Octagon – 1080⁰ of internal angles

Page 13: CHAPTER ELEVEN MATH 1A POWERPOINT PRESENTATION GEOMETRY

External Angles

External Angles

The external angle is angle w

Page 14: CHAPTER ELEVEN MATH 1A POWERPOINT PRESENTATION GEOMETRY

Naming Triangles

• Tick – a short line used to mark sides in geometry

• Acute Triangle – no angles >90⁰• Obtuse Triangle – one angle >90⁰• Equiangular Triangle – all angles equal• Right Triangle - one angle exactly 90⁰• When you name triangles this way, you are

naming them by their angles.

Page 15: CHAPTER ELEVEN MATH 1A POWERPOINT PRESENTATION GEOMETRY

Tick Marks

Page 16: CHAPTER ELEVEN MATH 1A POWERPOINT PRESENTATION GEOMETRY

TYPES OF TRIANGLES

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Other Triangles

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Congruence

Congruent Shapes – are alike in every detail.Congruent Triangles:

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Three Theorems to Prove Congruence

• Angle-Side-Angle: (ASA) – two like angles, one like side.

• Side-Side-Side: (SSS) – all sides are alike• Side-Angle-Side: (SAS) – two like sides, one

like angle.• These theorems are proved by examining the

ticks in the two triangles.

Page 20: CHAPTER ELEVEN MATH 1A POWERPOINT PRESENTATION GEOMETRY

Examples of Congruence

• SAS

Page 21: CHAPTER ELEVEN MATH 1A POWERPOINT PRESENTATION GEOMETRY

Angle-Side-Angle Congruence

• ASA

Page 22: CHAPTER ELEVEN MATH 1A POWERPOINT PRESENTATION GEOMETRY

Side-Side-Side Congruence

• SSS

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Similar Shapes

• Similar: figures that have the same shape but not the same size.

• Corresponding Angles: interior or exterior angles in figures with the same proportions, and shape, but not the same size:

Page 24: CHAPTER ELEVEN MATH 1A POWERPOINT PRESENTATION GEOMETRY

Quadrilaterals

• Quadrialterals: shapes with 4 sides:• Square and Rectangle• Parallelogram and Rhombus• Kite• Trapezoid• All Internal Angles = 360⁰

Page 25: CHAPTER ELEVEN MATH 1A POWERPOINT PRESENTATION GEOMETRY

What Quadrilaterals Look Like

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Diagonals

• Diagonals – are line segments connecting two vertices (points) that are not next to each other.

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Geometry – Awesome!!!!