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Chapter 7 Test Multiple Choice Identify the letter of the choice that best completes the statement or answers the question. Use this diagram to give a possible name to each figure. M N P R 1. six different rays A B M, N, P, R 2. another name for ray A B C D C D 3. What type of angle is the following: acute, right, obtuse, or straight? A Acute angle B Obtuse angle C Right angle D Straight angle 4. Estimate the measure of the following angle. A 60° B 160° 5. Estimate the measure of the following angle. C 85° D 100° A 60° B 15° C 85° D 120° 6. Identify the type of angle pair shown. 5 6 A Adjacent angles B Vertical angles 7. Find the unknown angle measure. The angles are supplementary. 78° c A 112° B 12° C 168° D 102° 8. Classify the pair of lines as intersecting, parallel, perpendicular, or skew lines. A Parallel B Perpendicular C Intersecting D Skew 9. Classify the pair of lines as intersecting, parallel, perpendicular, or skew lines. A Parallel B Perpendicular C Intersecting D Skew 10. Sidewalks connecting buildings G, H, and J form a triangle. Two of the angles measure 32° and 78°. Classify the triangle. A Obtuse triangle B Acute triangle C Right triangle 11. Use the diagram to find the measure of NLP. N 52° Q 121° P L M A 79° B 21° C 69° D 59° 12. Give the most descriptive name for the figure. A Square B Rectangle C Parallelogram D Rhombus Complete the statement. 13. A quadrilateral whose opposite sides are parallel and congruent and whose opposite angles are congruent is a ____. A trapezoid C kite B heptagon D parallelogram 14. A quadrilateral with exactly two right angles is a ____. A trapezoid C rectangle B square D hexagon 15. A rectangle has four ____ angles. A 90° B 80° C 60° D 360° 16. Tien has a picture of a 7-inch-tall regular hexagon on her shirt. What is the measure of each angle of the hexagon? A 49 inches C 102.9° B 720° D 120° 17. Identify a possible pattern. Use the identified pattern to draw the next figure. A Double the number of circles. C Double the number of circles. B Double the number of circles. D Double the number of circles. 18. Tell whether the figures in the pair are congruent. If not, explain. 1.1 m 1.4 m 1.9 m 1m 1m 1.9 m 1.4 m 1.1 m A These figures are congruent. B These figures are not congruent because they are not the same size. 19. Joseph’s basement floor is missing a section of carpet as shown in the figure below. He goes to the store to find a piece of carpet congruent to the piece missing. Which piece of carpet should he buy? A Carpet 1 B Carpet 2 20. Which quadrilateral is congruent to the bottom of the box? 2.5 ft 5 ft 7 ft A C 5 ft 2.5 ft 7 ft 7 ft B D 5 ft 5 ft 2.5 ft 7 ft 21. Tell whether the boots represent a rotation, reflection, or translation. A Reflection B Rotation C Translation 22. Tell whether the boots represent a rotation, reflection, or translation. A Reflection B Rotation C Translation 23. 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. Chapter 7 Test Answer Section MULTIPLE CHOICE 1. 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? 2. 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. 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/ Is this ray pointing in the same direction as the ray in question? /B/ Is this a ray or a line segment?/C/ Correct! /D/ Is this a ray or a line? 3. 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°? 4. ANS: D This angle appears to measure between 90° and 135°, but closer to 90°. So a good estimate is about 100°. REF: Page 327 OBJ: 7-2.3 Estimating Angle Measures STO: 2.01 TOP: 7-2 Angles KEY: angle, measurement, estimation NOT: /A/ Does this angle appear to measure greater or less than 90°? /B/ Does this angle appear to measure greater or less than 135°?/C/ Is an 85° angle acute or obtuse? /D/ Correct! 5. ANS: B This angle appears to measure between 0° and 45°, but closer to 0°. So a good estimate is about 15°. REF: Page 327 OBJ: 7-2.3 Estimating Angle Measures STO: 2.01 TOP: 7-2 Angles KEY: angle, measurement, estimation NOT: /A/ Does this angle appear to measure greater or less than 45°? /B/ Correct! /C/ Is this angle closer to 90° or 0°? /D/ Does this angle appear to measure greater or less than 90°? 6. ANS: B The angles are formed by two intersecting lines and are opposite each other; they are vertical angles. REF: STO: NOT: 7. ANS: Page 332 OBJ: 7-3.1 Identifying Types of Angle Pairs 3.01 TOP: 7-3 Angle Relationships KEY: angle, compare, relationship, angle pairs /A/ Are these angles side by side? /B/ Correct! D 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/ Do supplementary angle measures add up to 180° or 190°? /B/ Should you subtract from 90° or 180°? /C/ Should you add the given angle measure to 90° or subtract it from 180°?/D/ Correct! 8. 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? 9. 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! 10. ANS: B Subtract the two given angle measures from 180° to solve for the third angle measure. A right triangle has one angle that measures 90°, an obtuse triangle has one angle that measures greater than 90°, and all three angles in an acute triangle are acute. REF: Page 344 OBJ: 7-5.1 Application: Classify Triangles STO: 3.01 TOP: 7-5 Triangles KEY: triangle, classify NOT: /A/ Did you solve for the third angle to help you classify the triangle?/B/ Correct! /C/ How can you solve for the third angle to help you classify the triangle? 11. ANS: C Use knowledge about complementary, supplementary, vertical, and adjacent angles and knowledge about triangles to find the angle measure in question. REF: Page 345 OBJ: 7-5.2 Using Properties of Angles to Label Triangles STO: 3.01 TOP: 7-5 Triangles KEY: triangle, classify NOT: /A/ Did you perform your calculations correctly? /B/ Which angle measure are you asked to find? /C/ Correct! /D/ What rules are you using to find the measure of this angle? 12. 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? 13. ANS: D A parallelogram has two sets of congruent parallel sides and two sets of congruent angles. REF: Page 349 OBJ: 7-6.2 Classifying Quadrilaterals TOP: 7-6 Quadrilaterals KEY: quadrilateral NOT: /A/ Are all opposite sides of a trapezoid parallel? /B/ Is a heptagon a quadrilateral? /C/ Are opposite sides of a kite parallel?/D/ Correct! 14. ANS: A A trapezoid is a quadrilateral with only one set of parallel sides that may have two right angles. REF: Page 349 OBJ: 7-6.2 Classifying Quadrilaterals TOP: 7-6 Quadrilaterals KEY: quadrilateral NOT: /A/ Correct! /B/ How many right angles are in a square? /C/ Does a rectangle have only two right angles? /D/ Is a hexagon a quadrilateral? 15. ANS: A A rectangle is a parallelogram with four 90° angles. REF: Page 349 OBJ: 7-6.2 Classifying Quadrilaterals TOP: 7-6 Quadrilaterals KEY: quadrilateral NOT: /A/ Correct! /B/ Does 4 times 80 equal 360? /C/ How many degrees are in a right angle? /D/ Is this the measure of each angle or the sum of all the measures in a rectangle? 16. ANS: D A regular hexagon has six congruent sides, so it can be divided into four triangles. Multiply the number of triangles by 180°. To find the measure of each angle, divide the number of angles, 6, into the sum of all the angle measures in a hexagon, 720°. REF: Page 353 OBJ: 7-7.2 Application: Use Properties of Polygons to Determine Measures of Interior Angles TOP: 7-7 Polygons KEY: polygon, measurement, interior angle NOT: /A/ Does the height of the hexagon have anything to do with this problem? /B/ Is this the measure of each angle or the sum of all the angles of the hexagon? /C/ How many angles are in a hexagon?/D/ Correct! 17. ANS: D Each figure has double the circles in the preceding figure. REF: Page 356 OBJ: 7-8.1 Extending Geometric Patterns TOP: 7-8 Geometric Patterns KEY: pattern, geometric pattern NOT: /A/ Is this double the number of circles in the previous figure? /B/ Does this continue the pattern of circles? /C/ Would this continue the identified pattern?/D/ Correct! 18. ANS: A Congruent figures are exactly the same size and shape. These figures are congruent. REF: Page 362 OBJ: 7-9.1 Identifying Congruent Figures STO: 3.04 TOP: 7-9 Congruence KEY: congruence NOT: /A/ Correct! /B/ Are these figures the same size and shape? 19. ANS: A Congruent figures are exactly the same size and shape. Carpet 1 is congruent to the missing section of carpet. REF: Page 363 OBJ: 7-9.2 Application: Identify Congruent Figures STO: 3.04 TOP: 7-9 Congruence KEY: congruence NOT: /A/ Correct! /B/ Is this carpet the same size and shape as the missing piece of carpet? 20. ANS: A Congruent figures are exactly the same size and shape. REF: Page 363 OBJ: 7-9.2 Application: Identify Congruent Figures STO: 3.04 TOP: 7-9 Congruence KEY: congruence NOT: /A/ Correct! /B/ Is this congruent to the bottom of the box or the side of the box? /C/ Is this congruent to the bottom of the box or the front face? /D/ Is this figure congruent to the bottom of the box? 21. ANS: A In a reflection, a figure is flipped across a line of reflection, and a mirror image is created. This is a reflection of the boot. REF: Page 365 OBJ: 7-10.1 Identifying Transformations STO: 3.03 TOP: 7-10 Transformations KEY: transformation NOT: /A/ Correct! /B/ Has the figure been rotated about a point? /C/ Has the figure been moved along a straight line? 22. ANS: C In a translation, the figure is slid along a straight line without turning. This is a translation of the boot. REF: Page 365 OBJ: 7-10.1 Identifying Transformations STO: 3.03 TOP: 7-10 Transformations KEY: transformation NOT: /A/ Is one figure a mirror image of the other? /B/ Has the figure been rotated about a point? /C/ Correct! 23. 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?