Obj. 25 Properties of Polygons November 25, 2013
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Practice: Khan Academy Angles of a Polygon and IXL.com Polygon Vocabulary. IXL.com’s Interior and Exterior Angles of Polygons is also useful.
Unit 5 Test Review Solutions (Reg. and PAP) November 21, 2013
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Typos:
#11: m∠C=(2x+17)°
#13: side should be 4x−6
Obj. 24 Special Right Triangles November 15, 2013
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I think it can be useful to see that a 45-45-90 triangle is half of as square and a 30-60-90 triangle is half of an equilateral triangle, so while I’m not expecting you to make your notes look like this, I thought you might find this layout helpful:
Practice: Khan Academy Special Right Triangles or IXL.com Special Right Triangles
Obj. 23 Triangle Theorems November 14, 2013
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Practice: IXL Triangle Midsegments, Angle-Side Relationships in Triangles, and Khan Academy Triangle Inequality Theorem
Obj. 22 Triangle Segments November 12, 2013
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Practice: IXL Identify Medians, Altitudes, and Bisectors and Khan Academy Multiplying Fractions
Obj. 21 Perpendicular and Angle Bisectors November 11, 2013
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Practice: IXL Perpendicular Bisector Theorem
Reg. Geometry Unit 4 Test Review Solutions November 5, 2013
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Solutions
1. right isosceles | 2. equiangular equilateral | ||||||||||||||||
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4. | ||||||||||||||||
5. There is a typo on this problem. Replace the 7x with 8x. |
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7. | 8. base angles: vertex angle: B |
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9. |
10. and |
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11. A | 12. C | ||||||||||||||||
13. B | 14. | ||||||||||||||||
15.
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17. Statement 1 should read . Reason 4: Vertical angles Reason 5: AAS |
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18. The Given statement should read and bisect each other.
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19. Reason 4: ASA Reason 5: CPCTC |
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20. If we prove ΔADB and ΔCDB are congruent, then we can use CPCTC to prove the sides congruent.
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21.
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22. To prove ΔABC is right isosceles, prove the sides congruent and the angles perpendicular. Sides: Slopes: AB: BC: AC: Therefore, , and ΔABC is isosceles. The product of the slopes is -1, so the lines are perpendicular. Therefore, ∠ACB is right. |
PAP Unit 4 Test Review Solutions November 5, 2013
Posted by Ms. Miller in Geometry.comments closed
Solutions
1. | 2. | ||||||||||||||||||||||
3. |
4. | ||||||||||||||||||||||
5. There is a typo on this problem. Replace the 7x with 8x. |
6. | ||||||||||||||||||||||
7. | 8. base angles: vertex angle: B |
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9. |
10. and |
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11. A | 12. C | ||||||||||||||||||||||
13. B | 14. | ||||||||||||||||||||||
15.
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16. | ||||||||||||||||||||||
17. Statement 1 should read . Reason 4: Vertical angles Reason 5: AAS |
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18. The Given statement should read and bisect each other.
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19. Reason 4: ASA Reason 5: CPCTC |
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20. If we prove ΔAEC and ΔDEB are congruent, then we can use CPCTC to prove the sides congruent.
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21.
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22. To prove ΔABC is right isosceles, prove the sides congruent and the angles perpendicular. Sides: Therefore, , and ΔABC is isosceles. Slopes: AC: BC: The product of the slopes is -1, so the lines are perpendicular. Therefore, ∠ACB is right. |
Obj. 20 Coordinate Proof November 1, 2013
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Homework: IXL Distance Formula