Download Mid-Term Review 2014-2015

Mid-Term Review 2014-2015
Use the diagram at the right for Exercises 1–2.
1. Name three collinear and three coplanar points.
2. Name two opposite rays.
3. ̅̅̅
𝐺𝐼 bisects ∠𝐷𝐺𝐻 so that 𝑚∠𝐷𝐺𝐼 is 𝑥 − 3 and 𝑚∠𝐼𝐺𝐻 is 2𝑥 − 13. What is 𝑥?
4. ∠1 and ∠2 are supplementary angles. 𝑚∠1 is 4𝑦 + 7 and 𝑚∠2 is 9𝑦 + 4. What is 𝑚∠2?
̅̅̅̅.
Find the coordinates of the midpoint of 𝑨𝑩
5. 𝐴(6, 7), 𝐵(4, 3)
6. 𝐴(1, 5), 𝐵(2, 3)
Find the distance between each pair of points. If necessary, round to the nearest tenth.
7. 𝐴(6, 7), 𝐵(1, 7)
8. 𝐸(1, 0), 𝐹(12, 0)
Algebra Use the figure at the right
9. Given: 𝑆𝑇 = 3𝑥 + 3 and 𝑇𝑈 = 2𝑥 + 9.
a. What is the value of 𝑆𝑇?
b. What is the value of 𝑇𝑈?
Find a pattern for each sequence. Use the pattern to show the next two terms.
10. 5, 11, 18, 26, …
11. 3, 6, 12, 24, 48, …
Identify the hypothesis and conclusion of each conditional.
12. If a number is divisible by 2, then the number is even.
Write each sentence as a conditional.
13. Two complementary angles form a right angle.
Write the converse, inverse and contrapositive of the given conditional statement. Determine the
truth value of all three statements. If a statement is false, give a counterexample.
14. If a figure is a rectangle, then it has exactly four sides.
Identify all pairs of each type of angle in the diagram below right.
15. corresponding angles
16. Same-side interior angles
17. alternate interior angles
18. alternate exterior angles
Find m1 and m2. Justify each answer.
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20.
Algebra Determine the value of x for which r ║ s. Then find the measure of each labeled angle.
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22.
Algebra Find the value of each variable.
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24.
Find each missing angle measure.
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26.
Find the slope of the line passing through the given points.
27. (2, 3), (1, 6)
28. (6, 2), (3, 6)
Use the given information to write an equation for each line.
29. slope 6, y-intercept 4
30. slope  13 , y-intercept 2
Write each equation in slope-intercept form.
31. 𝑦  3 = 4(𝑥 + 2)
32. 𝑦  2 = 2(𝑥  5)
33. 𝑦 + 1 =
1
2
(𝑥 + 4)
⃡ that contains point C.
34. Write an equation of the line parallel to 𝑨𝑩
⃡𝐴𝐵 𝑦 = −5𝑥 + 12; 𝐶( −2, 1)
35. Write an equation of the line perpendicular to the given line that contains P..
𝑃(−6, 5); 𝑦 = 2𝑥 − 3
Algebra Find the values of the variables.
36.
37.
State the postulate or theorem (SSS, SAS, ASA, AAS or HL) you can use to prove each pair of
triangles congruent. If the triangles cannot be proven congruent, write not enough information.
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50.
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48.
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51.
Algebra Find the values of x and y.
53.
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54.
Algebra Find the value of x.
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56.
Find the value of x
57.
58.
List the angles of each triangle in order from smallest to largest.
59. 𝐴𝐵𝐶, where 𝐴𝐵 = 17, 𝐴𝐶 = 13, and 𝐵𝐶 = 29
List the sides of each triangle in order from shortest to longest.
60. ABC, with mA = 99, mB = 44, and mC = 37
Are the following the sides of a triangle.
61. 10𝑐𝑚, 7𝑐𝑚, 5𝑐𝑚
62. 12𝑐𝑚, 8𝑐𝑚, 4𝑐𝑚
63. The length of two sides of triangle are 8cm and 6 cm. Find the range of possible lengths of the third side.
Find the range of possible values for each variable.
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65.