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

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

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

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

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

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.

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

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

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

Test Review Game #7 15 cm, 18 cm, 26 cm 16 cm, 16 cm, 32 cm 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

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 M L J J L M

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

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

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

Test Review Game #12 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 X Z Y 9 inches 3 inches

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

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

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

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

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

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

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