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Geometry Book
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1. 6-1
- Exterior Angles of Polygons
- Regular Polygon Action!
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2. 6-2
- Interior and Exterior Angles of Polygons
- Congruence of triangles
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3. 6-3
- Coordinate Values
- Proof of Pythagorean theorem
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4. 6-4
- Finding Angle Measures
- Similar triangles with missing lengths
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5. 6-5
- G.CO.2 (Advanced)
- Graph the Line
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6. 6-6
- Isosceles Trapezoid Template
- Trapezoid Midsegment Theorem Part 1
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7. 6-7
- Graph the Line
- Classifying quadrilaterals
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8. 6-8
- coordinates-2 (distance)
- Parts of Planning a Proof MG
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9. 6-9
- Scrambled Proof 2: Proving Triangles Congruent by SAS
- Triangle Construction Challenge #3
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Geometry Book
Abigail Yoder, Oct 18, 2017
Project 1
Table of Contents
- 6-1
- Exterior Angles of Polygons
- Regular Polygon Action!
- 6-2
- Interior and Exterior Angles of Polygons
- Congruence of triangles
- 6-3
- Coordinate Values
- Proof of Pythagorean theorem
- 6-4
- Finding Angle Measures
- Similar triangles with missing lengths
- 6-5
- G.CO.2 (Advanced)
- Graph the Line
- 6-6
- Isosceles Trapezoid Template
- Trapezoid Midsegment Theorem Part 1
- 6-7
- Graph the Line
- Classifying quadrilaterals
- 6-8
- coordinates-2 (distance)
- Parts of Planning a Proof MG
- 6-9
- Scrambled Proof 2: Proving Triangles Congruent by SAS
- Triangle Construction Challenge #3
Exterior Angles of Polygons
Click the "▶" button. Observe the angles turned by the car at the corners.
Drag the green points. Check the "Show Measurement" box to see the measurements of the angles.
中文版：https://ggbm.at/551
1. What is a + b + c + d + e, the total angles turned by the car?
2. a, b, c, d, e are called the exterior angles of the convex pentagon.
In general, what is the sum of all exterior angles of a convex polygon?
3. How would you modify the result if the pentagon is NOT convex?
Anthony Or. GeoGebra Institute of Hong Kong.
Interior and Exterior Angles of Polygons
Use the two geogebra worksheets below to make conjectures regarding the interior and exterior angle measures of polygons.
Sum of the Interior Angle Measures
Sum of the Exterior Angle Measures.
Check Your Understanding
What is the sum of the exterior angle measures in a polygon with n sides?
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360 degrees.
What is the measure of each exterior angle in a regular polygon with n sides?
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What is the measure of each interior angle of a regular polygon with n sides?
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Coordinate Values
|
Enter the value for point A in the input bar below. |
 |
Finding Angle Measures
Interior Angle Measures of a Triangle
In the triangle above, points A, B, and C are vertices. Drag any vertex and notice how the angle and side measures change.
Regardless of the movement of the vertices, what is the total interior angle measure of the triangle?
()
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180 degrees
In your notes...
Write a sentence in your notes to help you remember what you learned (or to support what you already knew) about the total interior angle measure of any triangle.
G.CO.2 (Advanced)
Translation #1 Find the coordinates of the vertices of each figure after the given transformation.
Translate the given figure: translation: 4 units right and 1 unit down
Translation #2: Find the coordinates of the vertices of each figure after the given transformation.
translation: 7 units right and 1 unit down
A(−3, 1), B(−2, 3), C(−2, 0)
Rotation #1: Find the coordinates of the vertices of each figure after the given transformation.
rotation 90° counterclockwise about the
origin
Rotation #2 Find the coordinates of the vertices of each figure after the given transformation.
rotation 90° clockwise about the origin
B(−2, 0), C(−4, 3), Z(−3, 4), X(−1, 4)
Reflection #1: Find the coordinates of the vertices of each figure after the given transformation.
reflection across y = 2
A(1, 3), B(0, 5), C(1, 5), D(3, 2)
Reflection #2: Find the coordinates of the vertices of each figure after the given transformation
reflection across y = x
K(−5, −2), A(−4, 1), I(0, −1), J(−2, −4)
Isosceles Trapezoid Template
Students:
The applet below contains a quadrilateral that ALWAYS remains an ISOSCELES TRAPEZOID.
Be sure to move the BIG BLUE VERTICES of this ISOSCELES TRAPEZOID around as you answer each investigation question!
coordinates-2 (distance)
coordinates-2 (distance)
Scrambled Proof 2: Proving Triangles Congruent by SAS
Drag the statements and reasons to prove that the two triangles are congruent.
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