Squares and Rectangles
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1 LESSON.1 Assignment Name Date Squares and Rectangles Properties of Squares and Rectangles 1. In quadrilateral VWXY, segments VX and WY bisect each other, and are perpendicular and congruent. Is this enough information to conclude that quadrilateral VWXY is a square? Explain. W X Z V Y Chapter Assignments 175
2 LESSON.1 Assignment page 2 Quadrilateral PQRS is a rectangle with diagonals PR and QS. Q R T P S 2. Name all parallel segments. 3. Name all congruent segments. 4. Name all right angles. 5. Name all congruent angles. 6. Name all congruent triangles. 176 Chapter Assignments
3 LESSON.2 Assignment Name Date Parallelograms and Rhombi Properties of Parallelograms and Rhombi Quadrilateral PLGM is a parallelogram. L G R P M 1. If m PLG 5 124, what is m GMP? Explain. 2. If m LPM 5 56, what is m LGM? Explain. 3. If the length of LG is 20 meters, what is MP? Explain. 4. If the length of PR is 12 inches, what is GR? Explain. Chapter Assignments 177
4 LESSON.2 Assignment page 2 Quadrilateral RHMB is a rhombus. H M S R B 5. If m HRB 5 70, what is m HMB? Explain. 6. If m RHB 5 55, what is m MHB? Explain. 7. If the length of RB is 25 feet, what is HR? Explain. 8. If the length of HS is 18 centimeters, what is SB? Explain. 9. What is m RSB? Explain. 178 Chapter Assignments
5 LESSON.3 Assignment Name Date Kites and Trapezoids Properties of Kites and Trapezoids Quadrilateral ABCD is a kite. B A E C D 1. If m ABC 5 95, what is m ADC? Explain. 2. If m BCE 5 34, what is m EBC? Explain. 3. If the length of AB is 16 feet, what is AD? Explain. 4. If the length of BD is 25 feet, what is ED? Explain. Chapter Assignments 179
6 LESSON.3 Assignment page 2 Quadrilateral WXYZ is an isosceles trapezoid. X Y V W Z 5. If m XWZ 5 66, what is m YZW? Explain. 6. If the length of WY is inches, what is ZX? Explain. 7. If the length of WX is 7 inches, what is ZY? Explain. 180 Chapter Assignments
7 LESSON.4 Assignment Name Date Interior Angles of a Polygon Sum of the Interior Angle Measures of a Polygon Determine the measure of an interior angle of the given regular polygon. 1. regular nonagon 2. regular decagon 3. regular 15-gon 4. regular 47-gon Determine the measure of the missing angle in each figure ? ? Chapter Assignments 181
8 LESSON.4 Assignment page 2 7. Use the figure to answer each question. Q 7x 12 4x R P 2x 4x + 2 S 5x T a. What is the sum of the measures of the interior angles of the polygon? b. What is the value of x? c. What is the measure of PTS? d. What is the measure of angle RQP? 182 Chapter Assignments
9 LESSON.4 Assignment page 3 Name Date 8. Suppose that the sum of the measures of the interior angles of a regular polygon is What type of polygon is it? Show your work and explain how you got your answer. 9. Suppose that the degree measure of each angle of a regular 12-gon can be represented by the expression 2x 1 5. Calculate the value of x. Chapter Assignments 183
10 184 Chapter Assignments
11 LESSON.5 Assignment Name Date Exterior and Interior Angle Measurement Interactions Sum of the Exterior Angle Measures of a Polygon Use the figure below to answer each question What is the sum of the measures of angles 1 and 4? Explain your reasoning. 2. What is the sum of the measures of angles 2 and 5? Explain your reasoning. 3. What is the sum of the measures of angles 3 and 6? Explain your reasoning. 4. What is the sum of the measures of angles 1, 2, 3, 4, 5, and 6? Explain your reasoning. Chapter Assignments 185
12 LESSON.5 Assignment page 2 5. What is the sum of the measures of angles 1, 2, and 3? Explain your reasoning. 6. What is the difference of the sum of the measures of angles 1, 2, 3, 4, 5, and 6 and the sum of the measures of angles 1, 2, and 3? What does this demonstrate? 7. If a regular polygon has 30 sides, what is the measure of each exterior angle? Explain your reasoning. 8. The degree measure of each exterior angle of a regular octagon is represented by the expression 7x 2 4. Solve for x. 186 Chapter Assignments
13 LESSON.6 Assignment Name Date Quadrilateral Family Categorizing Quadrilaterals Based on Their Properties List all types of quadrilaterals with the given characteristics. 1. The quadrilateral has four right angles. 2. The quadrilateral has four congruent sides. 3. Exactly one pair of opposite sides of the quadrilateral is parallel. 4. Exactly two pairs of opposite sides of the quadrilateral are parallel. 5. Opposite angles of the quadrilateral are congruent. 6. Exactly two pairs of adjacent sides are congruent. 7. The sum of the measures of the interior angles of the quadrilateral is The sum of the measures of the exterior angles of the quadrilateral is 360. Chapter Assignments 187
14 LESSON.6 Assignment page 2 9. The diagonals of the quadrilateral are congruent.. The diagonals of the quadrilateral do not bisect each other. 11. Quadrilateral ABCD has congruent diagonals that are perpendicular to each other. What type of quadrilateral is ABCD? 12. Quadrilateral JKLM has consecutive vertex angles that are supplementary but not congruent. If the diagonals bisect the vertex angles, what type of quadrilateral is JKLM? 188 Chapter Assignments
15 LESSON.7 Assignment Name Date Name That Quadrilateral! Classifying Quadrilaterals on the Coordinate Plane 1. Analyze points A, B, and C. Locate point D so that the figure is an isosceles trapezoid. y C 2 A 1 B x Classify the quadrilateral as a trapezoid, rectangle, rhombus, or square. 2. A(1, 3) B(5, 4) C(4, 0) D(0, 21) Chapter Assignments 189
16 LESSON.7 Assignment page 2 3. A(0, 23) B(24, 1) C(26, 21) D(22, 25) 190 Chapter Assignments
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