Chapter 6 Walker
1. 6-2
1. Transversal Intersects Parallel Lines
2. Triangle Exterior Angle
2. 6-1
1. Quadrilateral: Exterior Angles
2. Regular Polygon Action!
3. 6-3
1. Parallelogram interior angles
2. Quadrilateral Investigation (I)
4. 6-4
1. Properties of a Rhombus
2. Copy of Properties of a Square
5. 6-5
1. Compare Rhombus and Rectangle
2. Concept of Area
6. 6-6
1. Trapezoids and Kites
2. Graph the Line
7. 6-7
1. Rotations Exploration
2. Point, Line & Plane Postulates-3D Diagram
8. 6-8
1. Rotating a Triangle Around a Coordinate Axis
2. Workbench for coordinate geometry
9. 6-9
1. Copy of triangle midpoint theorem
2. Exterior Angles of Polygons

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Chapter 6 Walker

Walker, Oct 13, 2017

Walker

6-2
1. Transversal Intersects Parallel Lines
2. Triangle Exterior Angle
6-1
1. Quadrilateral: Exterior Angles
2. Regular Polygon Action!
6-3
1. Parallelogram interior angles
2. Quadrilateral Investigation (I)
6-4
1. Properties of a Rhombus
2. Copy of Properties of a Square
6-5
1. Compare Rhombus and Rectangle
2. Concept of Area
6-6
1. Trapezoids and Kites
2. Graph the Line
6-7
1. Rotations Exploration
2. Point, Line & Plane Postulates-3D Diagram
6-8
1. Rotating a Triangle Around a Coordinate Axis
2. Workbench for coordinate geometry
6-9
1. Copy of triangle midpoint theorem
2. Exterior Angles of Polygons

6-2

1. Transversal Intersects Parallel Lines
2. Triangle Exterior Angle

Transversal Intersects Parallel Lines

[b][color=#980000]Students:[/color][/b][br][br]Use the GeoGebra applet above to help you complete the [b][color=#1e84cc]Transversals, Lines, & Related Angles[/color][/b] investigation given to you at the beginning of class.

1.2.

2.

6-1

1. Quadrilateral: Exterior Angles
2. Regular Polygon Action!

2.1.

Quadrilateral: Exterior Angles

Before you begin:[br][br]Feel free to move this quadrilateral's vertices (corners) wherever you'd like. [br][b][color=#ff0000]You can control the size of the red exterior angle by using the red slider.[br][/color][color=#1e84cc]You can control the size of the blue exterior angle by using the blue slider. [br][/color][/b][br]This applet works best if this quadrilateral is kept [b]convex[/b]. If you don't remember what this means, [br][url=https://www.geogebra.org/m/knnPDMR3]click here for a refresher[/url]. [br][br]Interact with the applet for a minute or two. [br]Then answer the question that follows.

What can you conclude about the measures of the exterior angles of ANY QUADRILATERAL? How do you know this?

2.2.

3.

6-3

1. Parallelogram interior angles
2. Quadrilateral Investigation (I)

3.1.

Parallelogram interior angles

If both pairs of opposite angles of a quadrilateral are congruent, the quadrilateral is a parallelogram. If one angle is supplementary to both consecutive angles in a quadrilateral, the quadrilateral is a parallelogram.

Interior angles of a parallelogram

3.2.

4.

6-4

1. Properties of a Rhombus
2. Copy of Properties of a Square

4.1.

Properties of a Rhombus

Adjust the Rhombus to verify the properties and test your conjectures.

4.2.

5.

6-5

1. Compare Rhombus and Rectangle
2. Concept of Area

5.1.

Compare Rhombus and Rectangle

Adjust the given Rhombus or Rectangle to help think through the statements below.[br]After each statement indicate True or False.[br]Justify each true statement with two screen shots.[br]Justify each false statement with one screen shot of a counterexample.

1. The diagonals of a rhombus are congruent.[br]2. The diagonals of a rectangle are congruent.[br]3. The diagonals of a rhombus are perpendicular bisectors of each other.[br]4. The diagonals of a rhombus bisect the interior angles.[br]5. The diagonals of a rectangle are perpendicular bisectors of each other.[br]6. The diagonals of a rectangle bisect the interior angles.