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Triangle Properties and Congruence - Math Test Review

Get ready for your math test on triangles with this comprehensive review! Review triangle properties, congruence theorems, and reasoning skills.

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Triangle Properties and Congruence - Math Test Review

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  1. Math 1 March 1st Turn in your homework! WARM-UP: Review for test tomorrow • Can the lengths given be the sides of a triangle? 4 cm, 8 cm, 6 cm (Show work) • If one side of a triangle is 6 cm and another side is 13 cm, the third side must be between ____ cm and ____ cm. • Find the value of x and the measure of each angle. SHOW WORK. 3x-2 2x-4 x

  2. Check Homework - front • A • D • B • C • A triangle has one rt angle • It is a right triangle • If a triangle is a right triangle, then it has one right angle. • If a triangle does not have one right angle, then it is not a right triangle. • If a triangle is not a right triangle, then it does not have one right angle. • Contrapositive • Inductive – figure it out yourself; deductive – learn it from somewhere and then apply • His address is even; deductive

  3. Check Homework - back • C • XY, YZ, XZ • C or D • 97 • 41 • C • CA • 21; left angle is 61 and right angle is 27 (forgot to label )

  4. Test Review Game #1 “If Adam is 20, then he is not a teenager anymore.” The underlined portion is the _____. • Argument • Conclusion • Converse • Hypothesis

  5. Test Review Game #2 What type of reasoning is used in this situation? Bre learns about congruent triangles in math classes and uses that information for a project she is doing in science. • deductive • inductive

  6. Test Review Game #3 What is the converse of the statement: “If it is raining, then the game will not be played.” • If it is not raining, then the game will be played. • If it is not raining, then the game will not be played. • If the game is not played, then it is raining. • If the game is played, then it is not raining.

  7. Test Review Game #4 Consider the statement “If p, then q.” What does the statement below represent? “If not q, then not p.” • The conditional statement • The converse • The contrapositive • The inverse

  8. Test Review Game #5 If a conditional statement is true, which of the following statements will also always be true? • The contrapositive • The converse • The inverse • All of them

  9. Test Review Game #6 Amandine is making a triangular shaped pizza. One side is 12 inches long and another side is 24 inches long. Which of the following could be the length of the third side? • 40 inches • 36 inches • 26 inches • 10 inches

  10. Test Review Game #7 Which set could be the lengths of the sides of a triangle? • 15 cm, 18 cm, 26 cm • 16 cm, 16 cm, 32 cm • 17 cm, 20 cm, 40 cm • 18 cm, 22 cm, 42 cm

  11. J L M Test Review Game #8 Using only the information in the diagram, which statement would help prove that the triangles shown below are congruent? A. B. C. D. K J L M

  12. Test Review Game #9 Which theorem can be used to prove these triangles are congruent? • SSS • SAS • AAS • ASA

  13. Test Review Game #10 In ∆CAT, <C = 54o and <T = 36o. What is the longest side of the triangle? • CA • AT • CT • cannot be determined

  14. Test Review Game #11 Which theorem can be used to prove these triangles are congruent? • SSS • SAS • AAS • ASA

  15. X Test Review Game #12 9 inches 3 inches Z Y Using triangle inequalities, determine the most accurate answer below according to the diagram: XY must be between 3 and 9 XY must be between 7 and 11 XY must be between 6 and 12 Not enough information is given

  16. Test Review Game #13 Which theorem can be used to prove these triangles are congruent? • SSS • SAS • AAS • ASA

  17. 45° x 42° Test Review Game #14 What is the measure of the missing angle? • 42 • 45 • 85 • 87

  18. B 39° 45° 96° C A Test Review Game #15 List the sides from smallest to largest: • AB, AC, BC • AC, AB, BC • AC, BC, AB • BC, AB, AC

  19. B 10 12 C A 13 Test Review Game #16 List the angles from smallest to largest: • A, B, C • C, A, B • C, B, A • A, C, B

  20. Test Review Game #17 What congruence postulate can you use to prove these triangles congruent? • SSS • SAS • AAS • ASA

  21. Test Review Game #18 What congruence postulate can you use to prove these triangles congruent? • SSS • SAS • AAS • HL

  22. A M B Given: Point M is a midpoint of Test Review Game #19 What congruence postulate can you use to prove these triangles congruent? • SSS • SAS • AAS • HL

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