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Practice Test Answer and Alignment Document Mathematics: Geometry Online The following pages include the answer keys for all machine-scored items. A sample student response for the top score is included for all hand-scored constructed response items. • Some answer keys include one possible sample student response. Other valid methods for solving the problem can earn full credit unless a specific method is required by the item. • In items where the scores are awarded for full and partial credit, the definition of partial credit will be confirmed during range-finding (reviewing sets of real student work). • If students make a computation error, they can still earn points for reasoning or modeling. Section 1 Item Number Answer Key Evidence Statement Key/ Content Scope The reason for step 2 is “Consecutive angles of a parallelogram are supplementary.” The reason for step 5 is “Subtraction 1. Property of Equality.” G-CO.C.11 The reason for step 6 is “Opposite angles of a parallelogram are congruent.” The reason for step 9 is “Definition of a right angle.” 2. D G-SRT.C.6 3. 9.9 – 10 inclusive G-M.6-1 G-GMD.A.3 4. 2 G-C.B.5 Geometry Mathematics Online Practice Test – Answer and Alignment Document 1 Item Number Answer Key Evidence Statement Key/ Content Scope Sample Top Score Response Part A: Calculating the slopes: The slope of side PQ: 10−7 3 1 = =− 4−−10 6 2 54− 1 The slope of side RS: = 46−−2 The slope of side PS: 10−5 = 5 4−40 which is undefined 7−43 The slope of side QR: 10−6 = 4 5. PQRS is a trapezoid because sides G-R.6 PQ and RS are parallel and sides PS G-GPE.B.7 and QR are not parallel. Part B: Calculating the side lengths: 22 PS =(10 5−) (4+4−) 5= 22 QR=(7 −+4) (10 −6) =5 Since the side lengths are equal, PQRS is an isosceles trapezoid. Refer to the Holistic Rubric for 4-Point Reasoning Constructed Response Items for score point information. 6. B, E G-SRT.C.7 The area of the garden shaped like an equilateral triangle is less than 7. 225 square feet. G-M.3 The area of the garden shaped like a G-MG.A.3 rectangle with dimensions 18 feet by 12 feet is less than 225 square feet. 8. B G-C.A.2 Geometry Mathematics Online Practice Test – Answer and Alignment Document 2 Item Number Answer Key Evidence Statement Key/ Content Scope The length of each side of ΔR’S’T’ is [equal to] the length of the corresponding side of ΔRST. 9. The area of ΔR’S’T’ is [equal to] the G-CO.B.6 area of ΔRST. The location of each vertex of ΔR’S’T’ [must] be the same as the location of the corresponding vertex of ΔRST. Geometry Mathematics Online Practice Test – Answer and Alignment Document 3 Section 2 Item Number Answer Key Evidence Statement Key/ Content Scope 1. A G-GPE.B.5 2. 5 G-SRT.A.1.b 4 If LM ≅ YZ , then ∆KLM ≅∆XYZ by 3. [SAS] postulate. G-R.5 If , then by G-CO.B.8 ∠MZ≅∠ ∆KLM ≅∆XYZ [AAS] postulate. 4. XY = [51] G-SRT.C.8 XZ = [68] Geometry Mathematics Online Practice Test – Answer and Alignment Document 4
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