BA#2 Review Questions Answers will be online. 1. Using the picture below, determine which of the following conjectures is valid?
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1 # Review Questions nswers will be online 1. Using the picture below, determine which of the following conjectures is valid? (.) 70 N 30 T T is the longest side in NT N is the longest side in NT NT is the longest side in NT The lengths of the sides cannot be determined. iven isosceles with vertex angle and median, which of the following is not a valid conjecture? (.) by SS by HL by S by S (./.10) 3. iven: JK ML and JKL MLK, what is the triangle congruence statement for this triangle? SSS because JK ML, KL KL, JL MK S because J M, KL KL, JKL MLK SS because JK ML, JKL MLK, KL KL S because J M, JKL MLK, KL KL J K M L 4. Which of the following statements is logically equivalent to the following conditional? (.3) If two angles are a linear pair, then they are supplementary. If two angles are not a linear pair, then they are not supplementary. If two angles are not supplementary, then they are not a linear pair. If two angles are supplementary, then they are a linear pair. ll are logically equivalent (.3) 5. To prove the triangles are congruent by SS you would need which of the following statements. I. Solve for < II. E III. E IV. E I and II only I, II, and III only II, III, and IV only I, II, III, and IV
2 6. geometry student concluded: (.3) If the 3 angles in one triangle are congruent to the corresponding angles in another triangle, then the triangles are congruent. Which diagram can be used as a counterexample to the student s conclusion? 7. Study the figure below. (.3) Which statement cannot be proven? m + m + m 180 If, then is isosceles. + > is a right triangle. 8.Which statement(s) will prove that KLM is equilateral? (.3) I. K, L, and M are congruent. II. KL LM MK III. m L 90 I only II only I and II only I, II and III
3 9.Which set of statements represents a valid deductive argument? (.3E) Vertical angles are congruent. If two angles are congruent, then their measures are equal. If two angles are vertical, then their measures are equal. Right angles are congruent. are right angles. If an angle is obtuse, then it is not acute. 1 is not acute. 1 is obtuse. If an equation is of the form y mx+ b, then its graph is a line. The graph is not a line. Therefore, the equation is x b. 10. Which set of statements is a valid deductive argument?. If the lengths of a right triangle are 5, 1, 13 then the area of the triangle is 30. The area of the triangle is 30. Therefore the side lengths of the triangle are 5, 1, 13.. If the lengths of the triangle are 3,4,5 then the triangle is classified as a right triangle. triangle is classified as right. Therefore the triangle s sides are 3, 4, 5.. If the lengths of a right triangle are 5, 1, 13 then the area of the triangle is 30. The lengths of another triangle are 5, 1, 13. Therefore the area of the new triangle is 30.. If the lengths of the triangle are 3,3,5 then the triangle is classified as a isosceles triangle. triangle is classified as isosceles. Therefore the sides are 3, 3, If x4, are the triangles congruent? If so, write the congruency statement. No Yes; PQR SUT Yes; PRQ SUT 1. In the figure E That can t be determined. x+4, which proportion is not true? Q P 1 R x U S E x+4 (3E) (.5) T (11) E E E E
4 (7) 13. If is the perpendicular bisector of with vertices (7, -7), (, 4), and (-4, -), what is the length of? Using the above information, which of the following is the correct equation of? (7). 5x + 11y. 11x + 5y 4. 5x + 11y -4 5x + 11y Which segment has a length closest to 4 units? (7) E JK H LM 16.Which of the following correctly maintains the Pythagorean ratios within the similar triangles? (11) 5 1 x. x 1, y 13. x 13, y 1 x 13, y 4 x 4, y y (11)
5 (7) 17. Which line is parallel to the line with the equation y x + 5? through (,3) and (1,1) 4x + y y x 3 x + y In the diagrams below of, segments, E, and intersect at. (5) P 15 x Which expression can be used to represent the area of the ircle created by the incenter P? Π ( x) Π ( x) Π (4 x) Π (4 x )
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