Chapter 1 PowerPoint for the first chapter of

the Prentice Hall Geometry text

1-1 Nets and Drawings for Visualizing Geometry � Net- 2D diagram that you can fold to

form a 3D figure (it shows all of the surfaces of a figure in one view)

� What shape does this net make??

1-1 Nets and Drawings for Visualizing Geometry � What shapes do these nets make?

1-1 Nets and Drawings for Visualizing Geometry

� Dodecahedron

1-1 Nets and Drawings for Visualizing Geometry � Isometric Drawing- Shows a corner

view of a 3D figure (this allows you to see the top, front, and side of the figure at the same time)

1-1 Nets and Drawings for Visualizing Geometry � Orthographic drawing- shows three

separate view: a top view, a front view, and a right-side view.

1-1 Nets and Drawings for Visualizing Geometry � What geometric solid goes with the

nets we made yesterday?...

1-2 Points, Lines, and Planes

Page 11 in text

1-2 Points, Lines, and Planes

Page 12 in text

1-2 Points, Lines, and Planes

Pages 13-15 of text

1-2 Points, Lines, and Planes

1-2 Points, Lines, and Planes

1-2 Points, Lines, and Planes

1-2 Points, Lines, and Planes

1-2 Points, Lines, and Planes

1-2 Points, Lines, and Planes

1-3 Measuring Segments

1-3 Measuring Segments

1-3 Measuring Segments

1-3 Measuring Segments

1-3 Measuring Segments

1-3 Measuring Segments

� When numerical expressions have the same value, you say that they are equal (=). Similarly, if two segments have the same length, then the segments are CONGRUENT SEGMENTS.

� Midpoint- is a point that divides a segment into two congruent segments.

� Segment bisector- a point, line, ray or other segment that intersects a segment at its midpoint.

1-3 Measuring Segments

1-3 Measuring Segments

1-3 Measuring Segments

1-3 Measuring Segments

1-3 Measuring Segments

1-3 Measuring Segments

1-4 Measuring Angles

What would you say is the interior and exterior of the angle in the diagram?

1-4 Measuring Angles

1-4 Measuring Angles

1-4 Measuring Angles

1-4 Measuring Angles

� Congruent Angles- angles with the same measure. � If 𝑚∠𝐴 = 𝑚∠𝐵, 𝑡ℎ𝑒𝑛  ∠𝐴   ≅ ∠𝐵

1-4 Measuring Angles

1-4 Measuring Angles

1-4 Measuring Angles

1-4 Measuring Angles

1-4 Measuring Angles

1-4 Measuring Angles

1-5 Exploring Angle Pairs

1-5 Exploring Angle Pairs True or False, and why?

1-5 Exploring Angle Pairs

1-5 Exploring Angle Pairs True or False, and why?

1-5 Exploring Angle Pairs

1-5 Exploring Angle Pairs True or False, and why?

1-5 Exploring Angle Pairs

1-5 Exploring Angle Pairs What  can  and  can’t  you  assume  from  an  unmarked  diagram??

1-5 Exploring Angle Pairs What can you conclude from the information given in this diagram?

1-5 Exploring Angle Pairs What can you conclude from the information given in this diagram?

1-5 Exploring Angle Pairs � Linear Pair- a pair of adjacent angles

whose noncommon sides are opposite rays. The angle of a linear pair form a straight angle.

� Pos. 1-9: If two angles form a linear pair, then they are supplementary.

1-5 Exploring Angle Pairs � Angle bisector- a ray that divides an

angle into two congruent angles. Its endpoint is at the angle vertex. Within the ray, a segment with the same endpoint is also an angle bisector.

1-5 Exploring Angle Pairs � Angle bisector- a ray that divides an

angle into two congruent angles. Its endpoint is at the angle vertex. Within the ray, a segment with the same endpoint is also an angle bisector.

1-6 Constructions

� Done completely in class, no slides � See pages 43-45 in text

1-7 Midpoint and Distance in the Coordinate Plane � In class activity, no slides

1-8 Perimeter, Circumference, Area (Review)

Create formulas for the area and perimeter (or circumference) of the shapes above.

1-8 Perimeter, Circumference, Area (Review)

1-8 Perimeter, Circumference, Area (Review)

1-8 Perimeter, Circumference, Area (Review)

1-8 Perimeter, Circumference, Area (Review)

1-8 Perimeter, Circumference, Area (Review)

1-8 Perimeter, Circumference, Area (Review)

1-8 Perimeter, Circumference, Area (Review)

1-8 Perimeter, Circumference, Area (Review) � Pos. 1-10: The area of a region is the

sum of the areas of its non-overlapping parts.

1-8 Perimeter, Circumference, Area (Review)

The End