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Midterm Review

Midterm Review. Conditional Statements/ Inductive Reasoning. Basic Geometry. Midpoint/ Distance/ Properties of Lines. Bisectors and Intersecting Lines. Triangles. 100. 100. 100. 100. 100. 200. 200. 200. 200. 200. 300. 300. 300. 300. 300. 400. 400. 400. 400. 400. 500.

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Midterm Review

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  1. Midterm Review

  2. Conditional Statements/ Inductive Reasoning Basic Geometry Midpoint/ Distance/ Properties of Lines Bisectors and Intersecting Lines Triangles 100 100 100 100 100 200 200 200 200 200 300 300 300 300 300 400 400 400 400 400 500 500 500 500 500

  3. Conditional Statements/ Inductive Reasoning– 100 • Find the converse of the following statement. • “If you brought a book for this Geometry class, then it is a green book.” Converse: If it is a green book, then you brought a book for this Geometry class.

  4. Conditional Statements/ Inductive Reasoning– 200 • Find the contrapositive of the following conditional statement: • “If I finish my homework, then I will watch TV.” • Contrapositive: If I did not watch TV, then I did not finish my homework.

  5. Conditional Statements/ Inductive Reasoning– 300 • Use inductive reasoning to figure out the 17th term. 2, 6, 10, 14, …. • 2+4(17) = 70

  6. Conditional Statements/ Inductive Reasoning– 400 • Find the inverse of the following conditional statement. • “If Mrs. Gonzales is not working, then it is summertime.” • Inverse: If Mrs. Gonzales is working, then it is not summertime.

  7. Conditional Statements/ Inductive Reasoning– 1000 (DOUBLE JEOPARDY!) • Determine the truth values of the conditional statement, converse, inverse, and contrapositive of the following statement. • Conditional: If it is 11:15 am on a regular B day, then we are at lunch. Conditional: True Converse: False Inverse: False Contrapositive: True

  8. Basic Geometry - 100 • True or false? A, B, and D are collinear. False

  9. Basic Geometry - 200 • True or false? A lies on BC. • True

  10. Basic Geometry - 300 • _______ ________ are points that lie on the same plane. Coplanar Points

  11. Basic Geometry - 400 • Lines k1 and k2 intersect at point E. Line m is perpendicular to lines k1 and k2 at point E. Which statement is always true? • a. Lines k1 and k2are perpendicular. • b. Line m is parallel to the plane determined by lines k1 and k2. • c. Line m is perpendicular to the plane determined by lines k1 and k2. • d. Line m is coplanar with lines k1 and k2. C

  12. 3x – 1 in A 7x + 9 in C B 4x + 8 in 30 in D A’ C’ • Basic Geometry - 500 AC = A’C’. Find the length of AC. 58

  13. Midpoint/Distance/Properties of Lines– 100 • Use the table to find the slope of the line. 7/3

  14. Midpoint/Distance/Properties of Lines– 200 • Find the midpoint of (8,0) and (0,4). (4,2)

  15. Midpoint/Distance/Properties of Lines– 300 • Circle O has a diameter with endpoints E(8, 1) and F(1, 1). Find the distance, or length, of the diameter. 7

  16. Midpoint/Distance/Properties of Lines– 800 DOUBLE JEOPARDY! • Find the midpoint of (2, 3b) and (2a, 5b-2). • (1+1a, 4b-1)

  17. Midpoint/Distance/Properties of Lines– 500 • What is the slope of the line perpendicular to-3y-5=5x + 10 3/5

  18. Bisectors and Intersecting Lines- 100 • Find the measure of a. You must justify your answer. 60 degrees, vertical angles

  19. Bisectors and Intersecting Lines- 200 • What do you call the line that intersects two other lines? A transversal.

  20. Bisectors and Intersecting Lines- 300 Which two lines are parallel? Lines d and e

  21. Bisectors and Intersecting Lines- 400 • If ray AD bisects ∠BAC, what is the value of x? 2 B D 4x+37˚ 3x+39˚ A C

  22. y 84˚ x z • Bisectors and Intersecting Lines- 500 Find the measures of x, y, and z. You MUST justify your answers for each. • y = 84 (vertical angles), x = 94 (SSI), z = 84 (AIA)

  23. Triangles- 100 • Which side lengths do NOT create a triangle? • 4 in., 5 in., 9 in. • 12cm., 12cm., 12.cm. • 1.5cm., 0.8cm., 3.2cm. III) 1.5cm, 0.8cm, 3.2cm

  24. Triangles- 200 • If one of the angles of a right triangle has a measure of 40 degrees, what is the measure of the other acute angle? 50 degrees

  25. 2x + 4 6x-12 • Triangles- 300 • Find the value of x. JUSTIFY YOUR REASONING. Isosceles Triangle, x = 4

  26. B C A D • Triangles- 400 • How is ΔABC is congruent to ΔCDA ? SAS

  27. Triangles- 500 • List corresponding angles and corresponding sides if ΔABC is congruent to ΔSTR. Angles: ∠A & ∠S, ∠B & ∠T, ∠C & ∠R Sides: AB&ST, BC&TR, AC&SR

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