Geometry Basic QBA MP2 Review 2015
____1.What four segments are parallel to plane MRQL?
A. / segments JK, KL, JM, and ML / C. / segments JK, JN, NP, and KPB. / segments NP, KP, PQ, and JN / D. / segments JM, KL, NR, and PQ
____2.What four segments are perpendicular to plane JKPN?
A. / segments ML, LQ, RQ, and MR / C. / segments JM, KL, PQ, and NRB. / segments MR, LQ, NR, and PQ / D. / segments ML, RQ, JM, and NR
Use the diagram to find the following.
____3.Identify a pair of alternate exterior angles.
A. / / C. /B. / / D. /
____4.Identify a pair of alternate interior angles.
A. / / C. /B. / / D. /
____5.What are three pairs of corresponding angles?
A. / angles 1 & 2, 3 & 8, and 4 & 7 / C. / angles 1 & 7, 2 & 4, and 6 & 7B. / angles 3 & 4, 7 & 8, and 1 & 6 / D. / angles 1 & 7, 8 & 6, and 2 & 4
____6.Which angles are corresponding angles?
A. / / C. /B. / / D. / none of these
____7.What is the relationship between and ?
A. / corresponding angles / C. / alternate interior anglesB. / same-side interior angles / D. / alternate exterior angles
____8.What is the relationship between and ?
A. / same-side interior angles / C. / corresponding anglesB. / alternate interior angles / D. / alternate exterior angles
____9.Which statement is true?
A. / are alternate angles.B. / are alternate angles.
C. / are same-side interior angles.
D. / are same-side interior angles.
____10.Which statement is true?
A. / are same-side interior angles.B. / are alternate angles.
C. / are same-side interior angles.
D. / are alternate angles.
This diagram of airport runway intersections shows two parallel runways. A taxiway crosses both runways.
____11.How are and related?
A. / alternate interior angles / C. / same-side interior anglesB. / corresponding angles / D. / none of these
____12.How are and related?
A. / same-side interior angles / C. / alternate interior anglesB. / corresponding angles / D. / none of these
____13.If 8 measures 127, what is the sum of the measures of 1 and 4?
A. / 254 / B. / 307 / C. / 127 / D. / 10614.If 8 measures 121, what is the sum of the measures of 1 and 4?
15.Line r is parallel to line t. Find m6. The diagram is not to scale.
____16.Line r is parallel to line t. Find m6. The diagram is not to scale.
A. / 36 / B. / 134 / C. / 46 / D. / 14617. Find . The diagram is not to scale.
____18.Find . The diagram is not to scale.
A. / 106 / B. / 137 / C. / 117 / D. / 43____19.Find the value of x. . The diagram is not to scale.
A. / 148 / B. / 116 / C. / 64 / D. / 3220. Find the value of x. . The diagram is not to scale.
21.Find the value of x for which l is parallel to m. The diagram is not to scale.
____22.Find the value of x for which l is parallel to m. The diagram is not to scale.
A. / 210 / B. / 70 / C. / 20 / D. / 160____23.Each tie on the railroad tracks is perpendicular to both of the tracks. What is the relationship between the two tracks? Justify your answer.
A. / The two tracks are perpendicular by the definition of complementary angles.B. / The two tracks are parallel by the Same-Side Interior Angles Postulate.
C. / The two tracks are perpendicular by the Perpendicular Transversal Theorem.
D. / The two tracks are parallel by the Converse of the Perpendicular Transversal Theorem.
____24.Each sheet of metal on a roof is perpendicular to the top line of the roof. What can you conclude about the relationship between the sheets of roofing? Justify your answer.
A. / The sheets of metal are all parallel to each other by the Transitive Property of Parallel Lines.B. / The sheets of metal are all parallel to each other by the Alternate Interior Angles Theorem.
C. / The sheets of metal are all parallel to each other because in a plane, if a line is perpendicular to one of two parallel lines, then it is also perpendicular to the other.
D. / The sheets of metal are all parallel to each other because in a plane, if two lines are perpendicular to the same line, then they are parallel to each other.
____25.If and , what do you know about the relationship between lines a and b? Justify your conclusion with a theorem or postulate.
A. / , by the Perpendicular Transversal TheoremB. / , by the Perpendicular Transversal Theorem
C. / , by the Alternate Exterior Angles Theorem
D. / not enough information
26.Find the value of k. The diagram is not to scale.
27.Find the values of x, y, and z. The diagram is not to scale.
____28.Find the values of x, y, and z. The diagram is not to scale.
A. / / C. /B. / / D. /
29.Find the value of x. The diagram is not to scale.
30.Find the value of x. The diagram is not to scale.
31.Find the value of x. The diagram is not to scale.
32.Find the value of x. The diagram is not to scale.
33.A star patterned quilt has a star with the angles shown. What is the value of x? The diagram is not to scale.
34.A star patterned quilt has a star with the angles shown. What is the value of x? The diagram is not to scale.
35.What is the slope of the line shown?
36.What is the slope of the line shown?
____37.What is the graph of y = x – 2?
A. / / C. /B. / / D. /
____38.What is the graph of ?
A. / / C. /B. / / D. /
____39.Write an equation in slope-intercept form of the line through point P(6, –1) with slope 4.
A. / y = 4x – 1 / C. / y + 1 = 4(x – 6)B. / y = 4x – 25 / D. / y + 6 = 4(x – 1)
40.What is an equation in slope-intercept form for the line given?
____41.Write the equation for the vertical line that contains point E(–7, 7).
A. / y = 7 / B. / x = –7 / C. / y = –7 / D. / x = 7____42.Write the equation for the horizontal line that contains point G(3, 4).
A. / x = 4 / B. / y = 4 / C. / y = 3 / D. / x = 343.What is an equation in point-slope form for the line perpendicular to y = 2x + 13 that contains (8, –4)?
____44.Are the lines y = –x – 2 and 4x + 4y = 16 perpendicular? Explain.
A. / Yes; their slopes have product –1.B. / No; their slopes are not opposite reciprocals.
C. / Yes; their slopes are equal.
D. / No; their slopes are not equal
____45.Are the lines y = –x – 4 and 2x – 2y = 10 perpendicular? Explain.
A. / Yes; their slopes are equal.B. / No; their slopes are not opposite reciprocals.
C. / No; their slopes are not equal
D. / Yes; their slopes have product –1.
46.Find the measure of each interior and exterior angle. The diagram is not to scale.
47.Write the equation 10x + 5y = 5 in slope-intercept form. Then graph the line.
48.Write the equation 6x + 3y = –3 in slope-intercept form. Then graph the line.
49.Find the values of the variables. Show your work and explain your steps. The diagram is not to scale.
50.In a plane, line k is parallel to line l and line j is perpendicular to line l. What can you conclude about the relationship between lines j and k?