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B.E.S.T. Mathematics Sample Items Answer Key 1. A rectangle and a vertical line are shown. + —-—--—-—---- > Which object is generated by rotating the rectangle about the vertical line? ® © > rane i y y ® 4 H iw an a bt niyt Aap VETS Y Option B: This answer is correct. The student determined that rotating the rectangle about a vertical line would generate a cylinder with a hole through the middle of it when the rectangle does not touch the vertical line. Page 4 Go On » B.E.S.T. Mathematics Sample Items Answer Key 2. Lines f and A are parallel and intersected by line g, as shown. Select statements and a reason to complete the proof showing 23 = 26. For each blank, fill in the bubble before the statement or word that is correct. Statement Reason 1. fllh 1. Given 2. — @ Z1 FLO 2. Corresponding angles of two parallel lines cut by a transversal @ 42246 ©4526] are congruent. 3. CT @ 1 B23 3. Vertical angles are congruent. @ 22223 ©245223)] 4.23 =26 4. [ @ Reflexive @ Transitive © Symmetric] property of congruence Page 5 Go On > B.E.S.T. Mathematics Sample Items Answer Key 4. The preimage and image of a circle are shown. y Z rw /, \ \ — -@- {e + x ~q X ole I NX WA a a Py The center of circle G is at (0, 0), and the center of circle G’ is at (1, 1). The radius of circle G is 5 units, and the radius of circle G’ is 4 units. The sequence of transformations applied to circle G to create circle G’ is shown. © (x,y) > (cx, cy) ¢ (xy) > (xk+d,y td) What are the values of c and d ? Write your responses in the shaded boxes below. Other correct responses: any equivalent values Page 7 Go On » B.E.S.T. Mathematics Sample Items Answer Key 5. A figure is shown. Ti__@\ 2 Select values to complete the trigonometric ratio. For each part of the ratio, fill in the bubble before the number that is correct. [@2 @\32 ©6] tan(@) = [@2 ©\32 ©6] Page 8 Go On » B.E.S.T. Mathematics Sample Items Answer Key 7. Angle A and two steps of a construction are shown. Step 1: Place the compass at point A and draw arcs that intersect both rays. Label the intersections as points B and C, as shown. c Step 2: Using the same compass width from Step 1, draw intersecting arcs in the interior of the angle from points B and C. Label the intersection as point D, as shown. <& Page 10 Go On » B.E.S.T. Mathematics Sample Items Answer Key This question has two parts. Part A Select phrases to create a true statement. For each blank, fill in the bubble before the phrase that is correct. Constructing AD will create two congruent angles, [ ® ZABC and ZACB ZABD and ZACD @ ZBAD and ZCAD J], because AD is [ ® a median © an incenter @ an angle bisector ]. Part B Select all the lengths that are equivalent to AB. AC AD BC BD CD ©®@ @e © Part B Option A: This answer is correct. The student identified that since lengths AB and AC were created using the same arc, they are the same. Option D: This answer is correct. The student identified that since BD was created using the same arc radius as AB, they are the same. Option E: This answer is correct. The student identified that since CD was created using the same arc radius as AB, they are the same. Page 11 Go On > B.E.S.T. Mathematics Sample Items Answer Key 9. Point P(-1, 4) lies on line segment QR with endpoints Q(1, 7) and R(-9, -8). Fill in bubbles to match each ratio of segment lengths to the correct numerical ratio. 1:4/1:5/4:5 QP:PR| @ © QP:QR| © | @ | © Page 13 
