Geo 2023-2024 Test 1 (version 1).pdf

Geometry 2023-2024 Date: _______________ Period: ______ Name: _____________________ TEST 1 Unless otherwise noted each question is worth 1 mark The diagram shows planes R and plane S. Use the diagram to answer the followin...

Geometry 2023-2024 Date: _______________ Period: ______ Name: _____________________ TEST 1 Unless otherwise noted each question is worth 1 mark The diagram shows planes R and plane S. Use the diagram to answer the following questions: 1) Give another name for ______________ 2) Are points J, K and M coplanar? ______________ 3) Are points Q, J and P collinear? ______________ 4) Is J between L and P? ______________ 5) Name a ray opposite to ______________ 6) Name the intersection of plane R and plane S ______________ ----------------------------------------------------------------------------------------------------------------------- Complete the sentence with always, sometimes, or never in order to make the statement true. 7) A line ______________________ has endpoints. 8) A line and a point ______________________ intersect. 9) A plane and a point ______________________ intersect. 10) Two planes ______________________ intersect in a line. 11) Two points are ______________________ needed to make a line. Circle the correct answer 12) What is the slope of the line whose equation is 𝑥 + 2𝑦 = 6 a) 1 b) 2 c) 6 d) -½ 13) The midpoint of the segment shown is: a) (-3,1) b) (4, 6) c) (-1.5, -2.5) d) (-0.5, -1.5) 14) The slope of the segment shown is: −5 a) 3 3 b) 5 5 c) 3 −3 d) 5 15) Which graph represents the line with equation 𝑥 = 2? a) b) c) d) 16) Name a segment skew to FG a) EH b) AD c) DC d) FB 17) Given the two equations below, choose the select answer that represents the solution for that system of equations. Equation 1 - 𝑦 = 2𝑥 − 5 Equation 2 - 𝑦 = 4𝑥 − 5 a) The system of equations has an intersection at one point and one ordered pair represents the solution. b) The system of equations has no solution because the lines do not intersect. c) The system of equations has an infinite number of solutions because both equations represent the same line. d) None of the above.  18) Given the segment below, a) Find x. [2marks] b) Is E the midpoint of ? Justify your answer. [2 mark] ------------------------------------------------------------------------------------------------------------------------ 19) Let O be the midpoint of 𝐹𝐺. Draw a diagram, write an equation and solve. Then find the FG. It is known that FO = 3x + 17, OG = 7x - 15. [4 marks]  20) Solve for x [2 marks] ------------------------------------------------------------------------------------------------------------------------ 21) Given points A = (-3, 9) and B = (2, -12) a) Find the midpoint between A and B. [2 marks] b) Find the slope of the line that passes through A and B. [2 marks] c) Find the equation of. [2 marks] d) Find the equation of a line perpendicular to passing through (-1, 5). [2 marks]  22) The midpoint of AB is M(-1,5). If the coordinates of A are (-7,7), what are the coordinates of B? [2 marks] B = ( ______ , ______) ------------------------------------------------------------------------------------------------------------------------ 23) Solve the following system of equations [3 marks]