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GEOMETRY First Six Weeks Assessment STUDENT NAME__________________ TEACHER NAME __________________ 1. Using the figure below, m∡RUT - m∡RUS = ____________. A m∡RUS B m∡QUS C m∡SUT D m∡QUR 2. The measure of ∡ 1 is 4 times the measure of its supplement. What is the measure, in degrees of ∡1? F 36° G 45° H 135° J 144° 3. If m∡1 = 4x - 60 vertical angles. A 30° B 35° C 60° D 80° , and m∡ 4 = 2x + 10 , find the m∡1 if ∡1 and ∡4 are 4. Determine if the conditional statement is true or false: If two angles are acute then they are congruent. F True G False 5. Lily conjectures that if a number is divisible by 15, then it is also divisible by 9. Which of the following is a counterexample? A 45 B 50 C 60 D 72 6. Which of the following is a counterexample for the following statement? “A pair of angles is supplementary if and only if the angles form a linear pair”. F The measure of supplementary angles add to 180˚ G A linear pair of angles is supplementary H Complementary angles do not form a linear pair J Two supplementary angles that are not adjacent 7. Find the other endpoint of the line segment with the given endpoint and midpoint. Endpoint: (-6,-12) Midpoint: (-2,-9) A (-9, -5.5) B (-4, -10.5) C ( 4, -5) D ( 2, -6) 8. Find the distance between each pair of points. Round your answer to the nearest tenth, if necessary. Record your answer and fill in the bubbles on your answer document. 9. A, B, and C are collinear points, and B is between A and C. AC = 15.8 and AB = 9.9. Find BC. Record your answer and fill in the bubbles on your answer document. 10. The map below shows two different routes that Frances takes to the mall – one when she picks up her friend Yvette first, and one when she goes straight to the mall. How many miles does Frances save when she goes directly to the mall? F 6 miles G 7 miles H 8 miles J 9 miles 11. Sam has a rectangular garden in his back yard. The dimensions of the garden are 24 feet by 7 feet. He wants to install a fence that stretches diagonally across the garden. What is the length of the fence? A 62 B 25 C 17 D 225 12. A walkway forms the diagonal of a square playground. The walkway is 24m long. What is the perimeter of the playground? F 17m G 48m H 68m J 289m 13. If m∡ A = (5x – 12)° , which expression represents the measure of the supplement of ∡A. A 180° B 90° C (168 – 5x )° D (192 – 5x )° 14. The regular polygons shown form a pattern. If P represents the perimeter of the figure, what is the value of P for the sixth figure in this pattern? Record your answer and fill in the bubbles on your answer document. 15. John knows that the sum of the interior angles of a triangle is 180°. John thinks there is a formula for the sum of the interior angles of any convex polygon. He drew the following figures to help him. Based on the drawings below, what is the formula he is looking for, where n represents the number of sides? A 360˚/ n B (n – 2)180˚ C (n – 2) / 180˚ D 180˚/ n