NAEP Questions, Pre-Algebra, Unit 13: Angle Relationships and Transformations SOURCE: U.S. Department of Education, Institute of Education Sciences, National Center for Education Statistics, National Assessment of Educational Progress (NAEP), 1990-2009 Math Assessments. The questions have been retyped in a format so that you might copy and paste. The information regarding student performance is included at the end so that you might compare your student s performance with that of the nation. 1. The figure shows two triangles, labeled 1 and 2. Which one of the following describes a way to move triangle 1 so that it completely covers triangle 2? A. Turn (rotate) 180 degrees about point P. B. Flip (reflect) over line. C. Slide (translate) 5 units to the right followed by 8 units down. D. Flip (reflect) over line m. E. Slide (translate) 10 units to the right followed by 16 units down. 2. In the figure above, what is the measure of angle DAC? A. 47 B. 57 C. 80 D. 90 E. 137 Pre-Algebra NAEP Questions Unit 13: Angle Relationships and Transformations Page 1 of 7
3. How many of the angles in this triangle appear to be smaller than a right angle? A. None B. One C. Two D. Three 4. In the space above, draw the image of Figure A after it is reflected (flipped) across the dotted line. 5. One of the acute angles in a right triangle measures 28 degrees. What is the measure, in degrees, of the other acute angle? A. 17 B. 28 C. 62 D. 90 E. 152 Pre-Algebra NAEP Questions Unit 13: Angle Relationships and Transformations Page 2 of 7
6. What is the value of x in the triangle above? A. 65 B. 82 C. 90 D. 92 E. 98 7. In the triangle, what is the degree measure of ABC? A. 45 B. 100 C. 110 D. 135 E. 160 8. The sum of the measures of the 24 angles in a 24-sided regular polygon is 3,960. What is the measure in degrees of one of the angles? Answer: 9. The sum of the measures of angles 1 and 2 in the figure to the right is 90. What is the measure of the angle formed by the bisectors of these two angles? A. 60 B. 45 C. 30 D. 20 E. 15 Pre-Algebra NAEP Questions Unit 13: Angle Relationships and Transformations Page 3 of 7
A P B 10. Which of the following constructions at point P in the figure above will produce an angle of 45? A. Constructing only the bisector of APB B. Constructing only a circle with center at P C. Constructing one perpendicular line only D. Constructing a circle with center at P and a perpendicular line E. Constructing a perpendicular line and an angle bisector ANSWER KEY: 1. A NAEP national performance results in Mathematics at grade 8: 2009 Identify steps in a transformation 2. A NAEP national performance results in Mathematics at grade 8: 2007 Determine measure of angle in triangle (calculator available) Pre-Algebra NAEP Questions Unit 13: Angle Relationships and Transformations Page 4 of 7
3. C NAEP national performance results in Mathematics at grade 8: 2005 Determine how many angles are less than 90 degrees 4. Scoring Guide Sample Correct Responses: Response shows Figure A correctly reflected through the vertical line. Correct - Student Response In the space above, draw the image of Figure A after it is reflected (flipped) across the dotted line. NAEP national performance results in Mathematics at grade 8: 2005 Draw the reflection of a figure Pre-Algebra NAEP Questions Unit 13: Angle Relationships and Transformations Page 5 of 7
5. C NAEP national performance results in Mathematics at grade 8: 2005 Find the measure of an acute angle 6. B NAEP national performance results in Mathematics at grade 8: 2003 Find the measure of an angle in a triangle (calculator available) 7. C NAEP national performance results in Mathematics at grade 8: 2003 Find angle measure in a triangle Pre-Algebra NAEP Questions Unit 13: Angle Relationships and Transformations Page 6 of 7
8. Scoring Guide Score & Description Correct 165 or 165 Incorrect Any incorrect response. NAEP national performance results in Mathematics at grade 8: 1992 Find Angle Measure of N-gon (Calculator available) 9. B NAEP national performance results in Mathematics at grade 8: 1992 Find Measure of a Bisected Angle (Calculator available) 10. E NAEP national performance results in Mathematics at grade 8: 1992 Select Correct Geometric Construction Pre-Algebra NAEP Questions Unit 13: Angle Relationships and Transformations Page 7 of 7