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Practice Test Chapter 7 Multiple Choice Identify the letter of the choice that best completes the statement or answers the question. Use the diagram to name each geometric figure. D B G F C 1. three points A B A, C, E C C, B, F D D, E, F Use the diagram to name each geometric figure. R Q V T S 2. two lines A C R, S, T B D Use this diagram to give a possible name to each figure. M N P R 3. three ways to name the line A M, P, R B 4. six different rays A C D C B M, N, P, R D 5. What type of angle is the following: acute, right, obtuse, or straight? A Acute angle B Obtuse angle C Right angle D Straight angle 6. Identify the type of angle pair shown. 2 1 A Adjacent angles B Vertical angles 7. Find the unknown angle measure. The angles are supplementary. 26° d A 64° B 116° C 154° D 164° 8. Find the unknown angle measures. Angles QRT and SRV are congruent. T h Q V 76° j R A h = 7°, j = 7° B h = 52°, j = 52° S C h = 104°, j = 104° D h = 14°, j = 14° 9. Find the unknown angle measures. Angles ABD and CBF are congruent. D F k A 126° l B A k = 63°, l = 63° B k = 27°, l = 27° C C k = 54°, l = 54° D k = 18°, l = 18° 10. Classify the pair of lines as intersecting, parallel, perpendicular, or skew lines. A Parallel B Perpendicular C Intersecting D Skew 11. Classify the pair of lines as intersecting, parallel, perpendicular, or skew lines. A Parallel B Perpendicular C Intersecting, but not perpendicular D Skew 12. Classify the pair of lines as intersecting, parallel, perpendicular, or skew lines. A Parallel B Perpendicular C Intersecting D Skew 13. Classify the pair of lines as intersecting, parallel, perpendicular, or skew lines. A Parallel B Perpendicular C Intersecting D Skew 14. Jason stacks a group of blocks, as shown in the following drawing. What type of lines are the lines highlighted on the blocks? A Parallel B Perpendicular C Intersecting D Skew 15. Give the most descriptive name for the figure. A Square B Rectangle C Parallelogram D Rhombus 16. Give the most descriptive name for the figure. A Square B Rectangle 17. Give the most descriptive name for the figure. C Parallelogram D Rhombus A Square B Rectangle C Parallelogram D Rhombus 18. Give the most descriptive name for the figure. A Trapezoid B Rectangle C Parallelogram D Rhombus 19. Give the most descriptive name for the figure. A Trapezoid B Rectangle C Parallelogram D Rhombus 20. Give the most descriptive name for the figure. A Parallelogram B Quadrilateral C Trapezoid D Rectangle Complete the statement. 21. A rectangle with four congruent sides can also be called a ____. A square C kite B heptagon D trapezoid 22. Tell whether the following shape is a polygon. If it is a polygon, state its name and whether it appears to be regular or not regular. A Polygon, triangle, regular B Polygon, quadrilateral, regular C Polygon, triangle, not regular D Not a polygon 23. Tell whether the following shape is a polygon. If it is a polygon, state its name and whether it appears to be regular or not regular. A Polygon, octagon, not regular B Polygon, nonagon, regular C Not a polygon D Polygon, octagon, regular 24. Identify a possible pattern. Use the identified pattern to draw the next figure. A Triangles appear in a clockwise pattern starting in the top heart. C Triangles appear in a clockwise pattern starting in the top heart. B Triangles appear in a clockwise pattern starting in the top heart. D Triangles appear in a clockwise pattern starting in the top heart. 25. Identify a possible pattern. Use the identified pattern to draw the next figure. A 90° rotation of the figure C 90° rotation of the figure B 90° rotation of the figure D 90° rotation of the figure 26. An art student is drawing the following pattern of filled-in circles and empty circles. Identify the pattern the art student is drawing, and then tell the number of filled-in circles and empty circles that might appear in the next two columns. A Pattern: It starts from the left with a filled in circle. Then each following column contains one more circle than the last, and the circles are alternately all filled in or all empty Next two columns: 4 empty, 3 filled in B Pattern: It starts from the left with a filled in circle. Then each following column contains one more circle than the last, and the circles are alternately all filled in or all empty Next two columns: 6 empty, 7 filled in C Pattern: It starts from the left with a filled in circle. Then each following column contains one more circle than the last, and the circles are alternately all filled in or all empty Next two columns: 5 empty, 6 filled in D Pattern: It starts from the left with a filled in circle. Then each following column contains one more circle than the last, and the circles are alternately all filled in or all empty Next two columns: 7 empty, 7 filled in 27. Tell whether the figures in the pair are congruent. If not, explain. A These figures are congruent. B These figures are not congruent because they are not the same size. 28. Determine whether the dashed line appears to be a line of symmetry. A The line appears to be a line of symmetry. B The line does not appear to be a line of symmetry. 29. Determine whether the dashed line appears to be a line of symmetry. A The line appears to be a line of symmetry. B The line does not appear to be a line of symmetry. 30. Find all of the lines of symmetry in the flag design. A C B None D Practice Test Chapter 7 Answer Section MULTIPLE CHOICE 1. ANS: C A point is an exact location in the diagram and is labeled with a capital letter. Additional points on the diagram are D and G. REF: Page 322 OBJ: 7-1.1 Identifying Points, Lines, and Planes; TOP: 7-1 Points, Lines, and Planes; KEY: point, line, plane NOT: /A/ Are these points or line segments in the diagram?/B/ Did you correctly identify the points in this diagram? /C/ Correct! /D/ Do all three of these points appear on the diagram? 2. ANS: A A line is a straight path that extends forever in both directions. Lines are named by two points that appear on the line. Additional lines on the diagram are . REF: Page 322 OBJ: 7-1.1 Identifying Points, Lines, and Planes; TOP: 7-1 Points, Lines, and Planes; KEY: point, line, plane NOT: /A/ Correct! /B/ Did you correctly identify two lines in this diagram? /C/ Are these points or lines in the diagram?/D/ Do both of these lines appear on the diagram? 3. ANS: B A line is a straight path that goes on forever in two directions and is named by any two points on the line. Additional lines on the diagram are . REF: Page 323 OBJ: 7-1.2 Identifying Line Segments and Rays TOP: 7-1 Points, Lines, and Planes; KEY: line segment, ray NOT: /A/ Are these lines or points? /B/ Correct! /C/ Are these rays or lines? /D/ Are these line segments or lines? 4. ANS: C A ray has one endpoint and extends forever in one direction. A ray is named by its endpoint and another point on the ray in that order. Additional rays on the diagram are ray and ray . REF: Page 323 OBJ: 7-1.2 Identifying Line Segments and Rays TOP: 7-1 Points, Lines, and Planes; KEY: line segment, ray NOT: /A/ Are these line segments or rays? /B/ Are these rays or points? /C/ Correct! /D/ Are these rays or lines? 5. ANS: A A right angle measures 90°. An acute angle measures less than 90°. An obtuse angle measures greater than 90° but less than 180°. A straight angle measures exactly 180°. REF: Page 326 OBJ: 7-2.1 Measuring an Angle with a Protractor STO: 2.01 TOP: 7-2 Angles KEY: angle, measurement, protractor NOT: /A/ Correct! /B/ Does this angle measure 180° and form a line? /C/ Does this angle measure 90°? /D/ Does this angle measure greater than 90°? 6. ANS: B The angles are formed by two intersecting lines and are opposite each other; they are vertical angles. REF: Page 332 STO: 3.01 OBJ: 7-3.1 Identifying Types of Angle Pairs TOP: 7-3 Angle Relationships KEY: angle, compare, relationship, angle pairs NOT: /A/ Are these angles side by side? /B/ Correct! 7. ANS: C The sum of the given angle measure and the unknown angle measure is 180°. REF: Page 333 OBJ: 7-3.2 Identifying an Unknown Angle Measure STO: 3.01 TOP: 7-3 Angle Relationships KEY: angle, measurement, relationship NOT: /A/ Should you subtract from 90° or 180°? /B/ Should you add the given angle measure to 90° or subtract it from 180°?/C/ Correct! /D/ Do supplementary angle measures add up to 180° or 190°? 8. ANS: B The sum of the two unknown angle measures and the given 76° is 180°. REF: Page 333 OBJ: 7-3.2 Identifying an Unknown Angle Measure STO: 3.01 TOP: 7-3 Angle Relationships KEY: angle, measurement, relationship NOT: /A/ Do these angle measures add up to 90° or 180°? /B/ Correct! /C/ Did you remember to divide the measure by 2 since you have two equal measures? /D/ What is the sum of the three angle measures? 9. ANS: B The sum of the two unknown angle measures and the given 126° is 180°. REF: Page 333 OBJ: 7-3.2 Identifying an Unknown Angle Measure STO: 3.01 TOP: 7-3 Angle Relationships KEY: angle, measurement, relationship NOT: /A/ What is the sum of the three angle measures?/B/ Correct! /C/ Did you remember to divide the measure by 2 since you have two equal measures? /D/ Do these three angle measures add up to 90° or 180°? 10. ANS: A The two lines are in the same plane and do not intersect; they are parallel. REF: Page 337 OBJ: 7-4.1 Classifying Pairs of Lines STO: 3.01 TOP: 7-4 Classifying Lines KEY: line relationship, classify NOT: /A/ Correct! /B/ Do these lines intersect to form 90° angles? /C/ Do these lines cross at one common point? /D/ Are these lines in different planes and not parallel or perpendicular? 11. ANS: B The two lines intersect to form 90° angles; they are perpendicular. REF: Page 337 OBJ: 7-4.1 Classifying Pairs of Lines STO: 3.01 TOP: 7-4 Classifying Lines KEY: line relationship, classify NOT: /A/ Are these lines in the same plane, and do they never intersect? /B/ Correct! /C/ Do these lines form a right angle at the point of intersection? /D/ Are these lines in different planes and not parallel or perpendicular? 12. ANS: C Lines that cross at one common point are intersecting. REF: Page 337 OBJ: 7-4.1 Classifying Pairs of Lines STO: 3.01 TOP: 7-4 Classifying Lines KEY: line relationship, classify NOT: /A/ Are these lines in the same plane and never intersect? /B/ Do these lines intersect to form 90° angles? /C/ Correct! /D/ Are these lines in different planes and not parallel or perpendicular? 13. ANS: D These lines are in different planes and are not parallel or perpendicular. REF: Page 337 OBJ: 7-4.1 Classifying Pairs of Lines STO: 3.01 TOP: 7-4 Classifying Lines KEY: line relationship, classify NOT: /A/ Are these lines in the same plane, and do they never intersect? /B/ Do these lines intersect to form 90° angles? /C/ Do these lines cross at one common point? /D/ Correct! 14. ANS: D These lines are in different planes and are not parallel or perpendicular; they are skew lines. REF: Page 337 OBJ: 7-4.2 Application: Classify Pairs of Lines STO: 3.01 TOP: 7-4 Classifying Lines KEY: line relationship, classify NOT: /A/ Are these lines in the same plane without intersecting? /B/ Do these lines intersect to create 90° angles? /C/ Do these lines cross at one common point? /D/Correct! 15. ANS: D A rhombus is a parallelogram that has four congruent sides. REF: Page 348 OBJ: 7-6.1 Naming Quadrilaterals TOP: 7-6 Quadrilaterals KEY: quadrilateral NOT: /A/ Does this figure have four 90° angles? /B/ Does a rectangle have four congruent sides? /C/ Is this the most descriptive name for this figure? /D/ Correct! 16. ANS: A A square is a parallelogram that has four congruent sides and four 90° angles. REF: Page 348 OBJ: 7-6.1 Naming Quadrilaterals TOP: 7-6 Quadrilaterals KEY: quadrilateral NOT: /A/ Correct! /B/ Do all rectangles have four congruent sides? /C/ Is this the most descriptive name for this figure? /D/ Does a rhombus have four 90° angles? 17. ANS: B A rectangle is a parallelogram that has four 90° angles. REF: Page 348 OBJ: 7-6.1 Naming Quadrilaterals TOP: 7-6 Quadrilaterals KEY: quadrilateral NOT: /A/ Does this figure have four congruent sides? /B/ Correct! /C/ Is this the most descriptive name for this figure? /D/ Does a rhombus have four 90° angles? 18. ANS: C A parallelogram’s opposite sides are parallel and congruent, and its opposites angles are congruent. REF: Page 348 OBJ: 7-6.1 Naming Quadrilaterals TOP: 7-6 Quadrilaterals KEY: quadrilateral NOT: /A/ Does this figure have only one set of parallel sides? /B/Does this figure have four right angles? /C/ Correct! /D/ Does this figure have four congruent sides? 19. ANS: A A trapezoid has exactly one set of parallel sides. REF: Page 348 OBJ: 7-6.1 Naming Quadrilaterals TOP: 7-6 Quadrilaterals KEY: quadrilateral NOT: /A/ Correct! /B/ Does this figure have four right angles? /C/ Does this figure have two sets of parallel sides? /D/ Does this figure have four congruent sides? 20. ANS: B A quadrilateral is a plane figure with exactly four sides and angles. REF: Page 348 OBJ: 7-6.1 Naming Quadrilaterals TOP: 7-6 Quadrilaterals KEY: quadrilateral NOT: /A/ Does this figure have two sets of parallel sides? /B/ Correct! /C/ Does this figure have one set of parallel sides?/D/ Does this figure have four right angles? 21. ANS: A A square is a rectangle with four congruent sides. REF: Page 349 OBJ: 7-6.2 Classifying Quadrilaterals TOP: 7-6 Quadrilaterals KEY: quadrilateral NOT: /A/ Correct! /B/ Is a heptagon a quadrilateral?/C/ Is a kite a parallelogram? /D/ Are all opposite sides of a trapezoid parallel? 22. ANS: C This is a triangle that is not regular since the sides and angles do not appear to be congruent. REF: Page 352 OBJ: 7-7.1 Identifying Polygons TOP: 7-7 Polygons KEY: polygon NOT: /A/ Do all the sides and angles appear to be congruent in this figure? /B/ How many sides and angles are in this figure?/C/ Correct! /D/ Is this a closed plane figure formed by at least three line segments? 23. ANS: D This is a regular octagon since the sides and angles do appear to be congruent. REF: Page 352 OBJ: 7-7.1 Identifying Polygons TOP: 7-7 Polygons KEY: polygon NOT: /A/ Do all the sides and angles appear to be congruent in this figure? /B/ How many sides and angles are in this figure?/C/ Is this a closed plane figure formed by at least three line segments? /D/ Correct! 24. ANS: B A triangle appears in the top heart and then moves in a clockwise pattern around the figure. REF: Page 356 OBJ: 7-8.1 Extending Geometric Patterns TOP: 7-8 Geometric Patterns KEY: pattern, geometric pattern NOT: /A/ Are any hearts skipped in the identified pattern? /B/ Correct! /C/ Does the identified pattern seem to stop at all? /D/ Would this continue the identified pattern? 25. ANS: B The triangle with the dot is rotated 90° in a clockwise pattern. REF: Page 356 OBJ: 7-8.1 Extending Geometric Patterns TOP: 7-8 Geometric Patterns KEY: pattern, geometric pattern NOT: /A/ Is the dot in the correct corner to continue the pattern? /B/ Correct! /C/ Is this the correct rotation of the triangle? /D/ Would this continue the identified pattern? 26. ANS: B The pattern starts from the left with a filled in circle. Then each following column contains one more circle than the last, and the circles are alternately all filled in or all empty. REF: Page 357 OBJ: 7-8.3 Application: Identify and Continue Geometric Patterns TOP: 7-8 Geometric Patterns KEY: pattern, geometric pattern NOT: /A/ Do the circles in the pattern seem to be increasing or decreasing?/B/ Correct! /C/ Does this pattern seem to repeat any numbers of circles? /D/ Does this follow the previous pattern? 27. ANS: B Congruent figures are exactly the same size and shape. These figures are not congruent. REF: Page 362 OBJ: 7-9.1 Identifying Congruent Figures STO: 3.04 TOP: 7-9 Congruence KEY: congruence NOT: /A/ Are these figures the same size and shape? /B/ Correct! 28. ANS: B A line of symmetry divides the figure such that the two halves are mirror images of each other. REF: Page 369 OBJ: 7-11.1 Identifying Lines of Symmetry TOP: 7-11 Symmetry KEY: symmetry, line of symmetry NOT: /A/ Are the two sides of the figure mirror images of each other? /B/ Correct! 29. ANS: A A line of symmetry divides the figure such that the two halves are mirror images of each other. REF: Page 369 OBJ: 7-11.1 Identifying Lines of Symmetry TOP: 7-11 Symmetry KEY: symmetry, line of symmetry NOT: /A/ Correct! /B/ Are the two sides of the figure mirror images of each other? 30. ANS: C A line of symmetry is a line that divides the figure into two equal halves that are mirror images of each other. This figure has two lines of symmetry. REF: Page 370 OBJ: 7-11.3 Application: Identify Lines of Symmetry in Figures TOP: 7-11 Symmetry KEY: symmetry, line of symmetry NOT: /A/ Does each of these lines divide the figure into mirror images? /B/ Can this flag be folded so that the two sides match?/C/ Correct! /D/ Do rectangles have diagonal lines of symmetry?