Students must complete the following to receive full credit for EACH credit/unit:

Terms Define all terms, give examples when appropriate

Notes 10 Bullet Points from each section or 3-5 sentence summaries from each section

Questions Answer the questions completely

Test Take each test found at: https://testmoz.com/class/16400

All test passwords are: osc

All videos have Spanish translations under the play button.

Todos los videos tienen traducción al español debajo del botón de reproducción.

Terms to Know:

• altitude of a triangle

• centroid

• circumcenter

• concurrent

• equidistant

• incenter

• indirect proof

• median of a triangle

• midsegment of a triangle

• orthocenter

• point of concurrency

Section 6.1: Perpendicular and Angle Bisectors

Example 1

Example 2

Example 3

Example 4

Example 5

Section 6.2: Bisectors of Triangles

Example 1

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Example 3

Example 4

Section 6.3: Medians and Altitudes of Triangles

Example 1

Example 2

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Example 4

Section 6.4: The Triangle Midsegment Theorem

Example 1

Example 2

Example 3

Example 4

Example 5

Section 6.5: Indirect Proof and Inequalities in One Triangle

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Example 4

Example 5

Section 6.6: Inequalities in Two Triangles

Example 1

Example 2

Example 3

Example 4

Example 5

Tell whether the orthocenter is inside, on, or outside the triangle. Then find its coordinates.

1. L(-2, 5), M(6, 5), N(4, -1)

2. M(4, -3), N(8, 5), O(8, -8)

Complete the statement with always, sometimes, or never.

3. The centroid is _____________ inside the triangle.

4. The orthocenter is ___________ inside an obtuse triangle.

5. The centroid, circumcenter, and orthocenter are __________ the same point.

Describe the possible lengths of the third side of the triangle given the lengths of the other two sides.

6. 5 yd., 24 yd.

7. 8.7 in., 3.2 in.

8. 4.16 m, 2 m

List the angles of Triangle DEF in order from least to greatest.

9. D(-2, -3), E(6, 3), F(-2, 8)

10. D(2, 5), E(2, -5), F(4, 6)

Terms to Know:

• base angles of a trapezoid

• bases of a trapezoid

• diagonal

• equiangular polygon

• equilateral polygon

• isosceles trapezoid

• kite

• legs of a trapezoid

• midsegment of a trapezoid

• parallelogram

• rectangle

• regular polygon

• rhombus

• square

• trapezoid

Section 7.1: Angles of Polygons

Example 1

Example 2

Example 3

Example 4

Example 5

Example 6

Section 7.2: Properties of Parallelograms

Example 1

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Example 5

Section 7.3: Proving That A Quadrilateral Is A Parallelogram

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Section 7.4: Properties of Special Parallelograms

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Example 6

Section 7.5: Properties of Trapezoids and Kites

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Example 5

Example 6

Use the graphic above to find the indicated measure in Parallelogram ABCD.

1. AD

2. BA

3. Measure of Angle BEC

4. Measure of Angle ABC

5. Measure of Angle ACD

6. Measure of Angle DBA

Determine whether the parallelogram with the given vertices is a rectangle, rhombus, or square. Give all names that apply. Explain your reasoning.

7. A(-2, -2), B(-3, 3), C(2, 0), D(-1, -5)

8. L(-3, -4), M(3, 3), N(4, -3), O(-2, -2)

9. Find the measure of each interior angle of a regular dodecagon.

10. Find the measure of each exterior angle of a regular 16-gon.

Terms to Know:

• Quadrilateral

• Pentagon

• Hexagon

• Heptagon

• Octagon

• Decagon

• Dodecagon

• Triangle

Section 8.1: Similar Polygons

Example 1

Example 2

Example 3

Example 4

Example 5

Example 6

Section 8.2: Proving Triangle Similarity by AA

Example 1

Example 2

Example 3

Section 8.3: Proving Triangle Similarity by SSS and SAS

Example 1

Example 2

Example 3

Section 8.4: Proportionality Theorems

Example 1

Example 2

Example 3

Example 4

Use the graphic above to determine the length of the segments for Questions 1-6.

1. Line Segment AG

2. Line Segment FC

3. Line Segment FE

4. Line Segment ED

5. Line Segment AE

6. Line Segment AD

7. Pittsburgh, Pennsylvania and State College, Pennsylvania are 9.8 inches apart on a map that has a scale showing 1.1 inches equal to 15 miles. How far apart are the cities in real life?

8. A model house is 12 centimeters long. If it was built with a scale factor of 3 centimeters equal to 7 feet, then how long is the house in real life?

9. Your geometry class goes on a field trip to the zoo. If an 18-foot tall tree casts a 9 foot-long shadow, how tall is an adult giraffe that casts a 7-foot shadow?

10. A 4-foot tall girl stands 6.5 feet from a lamp post at night. Her shadow from the light is 2.5 feet long. How tall is the lamp post?

Terms to Know:

• angle of depression

• angle of elevation

• cosine

• geometric mean

• inverse cosine

• inverse sine

• inverse tangent

• Law of Cosines

• Law of Sines

• Pythagorean triple

• sine

• solve a right triangle

• standard position

• tangent

• trigonometric ratio

Section 9.1: The Pythagorean Theorem

Example 1

Example 2

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Example 5

Section 9.2: Special Right Triangles

Example 1

Example 2

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Section 9.3: Similar Right Triangles

Example 1

Example 2

Example 3

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Example 5

Section 9.4: The Tangent Ratio

Example 1

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Section 9.5: The Sine and Cosine Ratios

Example 1

Example 2

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Example 5

Example 6

Section 9.6: Solving Right Triangles

Example 1

Example 2

Example 3

Example 4

Example 5

Section 9.7: Law of Sines and Law of Cosines

Example 1

Example 2

Example 3

Example 4

Example 5

Example 6

Example 7

Example 8

Use the diagram for Questions 1-4. Write your answer as a fraction and as a decimal rounded to the nearest hundredth.

1. sin A

2. cos A

3. sin B

4. cos B

Do the following segment lengths form a triangle? If so, is the triangle acute, obtuse, or right?

5. 2, 4, 8

6. 5, 6, 7

7. 6, 8, 15

8. 9, 12, 15

Find the geometric mean of the two numbers.

9. 15 and 20

10. 4 and 18

Terms to Know:

• adjacent arcs

• center of a circle

• central angle of a circle

• chord of a circle

• circle

• circumscribed angle

• circumscribed circle

• common tangent

• concentric circles

• congruent arcs

• congruent circles

• diameter

• external segment

• inscribed angle

• inscribed polygon

• intercepted arc

• major arc

• measure of a major arc

• measure of a minor arc

• minor arc

• point of tangency

• radius of a circle

• secant

• secant segment

• segments of a chord

• semicircle

• similar arcs

• standard equation of a circle

• subtend

• tangent of a circle

• tangent circles

• tangent segment

Section 10.1: Lines and Segments That Intersect Circles

Example 1

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Example 5

Section 10.2: Finding Arc Measures

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Section 10.3: Using Chords

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Section 10.4: Inscribed Angles and Polygons

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Section 10.5: Angle Relationships in Circles

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Section 10.6: Segment Relationships in Circles

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Section 10.7: Circles in The Coordinate Plane

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Example 5

Use the diagram to answer Questions 1-6.

1. Name the circle

2. Name a diameter

3. Name a radius

4. Name a secant

5. Name a chord

6. Name a tangent

Use the given information to write the standard equation of the circle.

7. a circle with center (1, 2) and radius 5

8. a circle with center (-3, 5) and radius 2

9. Write the standard equation of a circle that is tangent to the x-axis, with the center located at (2, 4)

10. Write the standard equation of a circle with the center at (-1, -4) that passes through the point (-1, -1)