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Hi parents and students! This is an introduction to what you’ll be needing to know by the end of the first Geometry 2 semester. My courses cover all of the common core requirements (the syllabus for semester 1 is here, and semester 2 is here!) and prepare my students to think critically. Not only do I want your student to know the material in my class, I want them to succeed in all future classes and opportunities. Please try out this sample test to see what your child will be learning this semester!

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1. What is the length of LK?
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2. Find the midpoint of JL
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3. J is the midpoint of PK (K not pictured). What are the coordinates of K?
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4. Use the points given in problem 12 to find the midpoint of line segment PJ.
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5. If twice the measure of an angle is 6 more than its complement, what is the measure of the angle?
Set up an equation with (x) and (90-x)! Solve for x.
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Use the following drawing for problems 6 and 7.

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6. If m∠5 = (5x – 15)° and m∠3 = (3x + 15)°, find x.
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7. If m∠4 = 140°, find m∠7.
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8. Identify the bisector of angle A.
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Use this shape for problems 9 and 10

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9. If m∠DAB = 120°, what is m∠ADC?
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10. If DC = 40, what is the length of AB?
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11. In rhombus ABCD m∠4 = (25x)° and m∠1 = (10x – 5)°. Find x.
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Use this shape for problems 12 and 13.

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12. If AB = (4x – 10), DC = (3x + 8), and the median has a length of 13, find x.
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13. If AB = 10 and PQ = 13.5, what is DC?
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14. Identify the 30-60-90 triangle that has labeled sides with the proper “standard lengths”
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15. Identify the 45-45-90 triangle that has labeled sides with the proper “standard lengths”
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16a. Define sine in terms of opp, adj, and hyp.
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16b. Define cos in terms of opp, adj, and hyp.
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16c. Define tan in terms of opp, adj, and hyp.
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17. Using the ratios of a special triangle, find x.
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18. Using the ratios of a special triangle, find x.
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19. Using the ratios of a special triangle, find x.
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20. Using the ratios of a special triangle, find x.
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21. Using the trig functions, find x.
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22. Using the trig functions, find x.
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23. A’B’C’ is a dilation of ABC about the origin. What is the scale factor?
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24. A monkey whose head is only 3′ off the ground looks at a mirror on the ground that is 6′ in front of him. He sees a banana in a tree that is another 20′ on the other side of the mirror. How high is the banana?
Proportional triangles. Solve for x.
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25. Three cities (Culver, Preston, and Abbot) form a triangle on a map. On the map, Preston is 3.25” from Abbot while Abbot is 2” from Culver. If the actual distance from Abbot to Culver is 186 miles, how far is it from Preston to Abbot?
Proportional triangles. Solve for x.
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26. Find x.
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27. Find x.
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28. Find x if AB = 60.
Cut AB into 3 sections of equal length!
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29. Find the area of this triangle.
Find your height first.
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30a. Find x.
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30b. Find y.
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31a. Find the perimeter of this parallelogram.
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31b. Find the area of this parallelogram.
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32. Find the shaded area.
Find the area of both the parallelogram and the triangle to help find the shaded area.
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33. Find the area of this trapezoid.
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34. Find the area of this trapezoid.
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