Chapter 7 Fair Game Review - Jozwiak's Jottings

NameChapter7DateFair Game ReviewUse a protractor to find the measure of the angle. Then classify the angleas acute, obtuse, right, or straight.1.2.3.4.5.6.Copyright Big Ideas Learning, LLCAll rights reserved.Big Ideas Math RedRecord and Practice Journal141

Name DateChapter7Fair Game Review (continued)Use a protractor to draw an angle with the given measure.7. 80 8. 35 9. 100 10. 175 11. 57 142 Big Ideas Math RedRecord and Practice Journal12. 122 Copyright Big Ideas Learning, LLCAll rights reserved.

Name7.1DateAdjacent and Vertical AnglesFor use with Activity 7.1Essential Question What can you conclude about the angles formed bytwo intersecting lines?Classification of AnglesAcute:Less than 90 1Right:Equal to 90 Obtuse:Greater than 90 andless than 180 Straight:Equal to 180 ACTIVITY: Drawing AnglesWork with a partner.a. Draw the hands of the clock to represent the given type of angle.AcuteStraightRightObtuseb. What is the measure of the angle formed by the hands of the clock at the given time?9:00Copyright Big Ideas Learning, LLCAll rights reserved.6:0012:00Big Ideas Math RedRecord and Practice Journal143

Name Date7.12Adjacent and Vertical Angles (continued)ACTIVITY: Naming AnglesWork with a partner. Some angles, such as A, can be named by a singleletter. When this does not clearly identify an angle, you should use threeletters, as shown. BDEpoint on one sidepoint on other sidevertexABC AABEF andBCDE aresquares. BDEFEDa. Name all of the right angles, acute angles, and obtuse angles.b. Which pairs of angles do you think are adjacent? Explain.144 Big Ideas Math RedRecord and Practice JournalCopyright Big Ideas Learning, LLCAll rights reserved.

Name7.13DateAdjacent and Vertical Angles (continued)ACTIVITY: Measuring AnglesWork with a partner.intersecting roads? Number the angles.832OakmontRda. How many angles are formed by theb. CHOOSE TOOLS Measure each angleformed by the intersecting roads. Whatdo you notice?832What Is Your Answer?4. IN YOUR OWN WORDS What can you conclude about the angles formedby two intersecting lines?5. Draw two acute angles that are adjacent.Copyright Big Ideas Learning, LLCAll rights reserved.Big Ideas Math RedRecord and Practice Journal145

Name DatePractice7.1For use after Lesson 7.1Name two pairs of adjacent angles and two pairs of vertical angles in thefigure.1.2.AIBJHCEGKDMLTell whether the angles are adjacent or vertical. Then find the value of x.3.4.x 109 41 x 5.6.(x 42) (2x 1) (x 96) 5x 7. A tree is leaning toward the ground. How many degreesdoes the tree have to fall before hitting the ground?14x 146 Big Ideas Math RedRecord and Practice Journal22x Copyright Big Ideas Learning, LLCAll rights reserved.

NameDateComplementary and Supplementary Angles7.2For use with Activity 7.2Essential Question How can you classify two angles as complementaryor supplementary?ACTIVITY: Complementary and Supplementary AnglesWork with a partner.angles. Use the graph to complete the table.20 xy80 30 65 45 60 75 40 b. How do you know when two angles areAngle measure (degrees)a. The graph represents the measures of complementarycomplementary? Explain.angles. Use the graph to complete the table.y20 60 150 90 90 140 50 d. How do you know when two angles aresupplementary? Explain.Copyright Big Ideas Learning, LLCAll rights reserved.80706050403020100 10 20 30 40 50 60 70 80 90 xAngle measure (degrees)c. The graph represents the measures of supplementaryxy90030 Angle measure le measure (degrees)Big Ideas Math RedRecord and Practice Journal147

Name Date7.22Complementary and Supplementary Angles (continued)ACTIVITY: Exploring Rules About AnglesWork with a partner. Complete each sentence with always, sometimes, ornever.a. If x and y are complementary angles, then both x and y are acute.b. If x and y are supplementary angles, then x is acute.c. If x is a right angle, then x is acute.d. If x and y are complementary angles, then x and y are adjacent.e. If x and y are supplementary angles, then x and y are vertical.3ACTIVITY: Classifying Pairs of AnglesWork with a partner. Tell whether the two angles shown on the clocks arecomplementary, supplementary, or neither. Explain your reasoning.a.b.c.d.148 Big Ideas Math RedRecord and Practice JournalCopyright Big Ideas Learning, LLCAll rights reserved.

Name7.24DateComplementary and Supplementary Angles (continued)ACTIVITY: Identifying AnglesWork with a partner. Use a protractor and the figure shown.a. Name four pairs of complementary anglesand four pairs of supplementary angles.321910111287456b. Name two pairs of vertical angles.What Is Your Answer?5. IN YOUR OWN WORDS How can you classify two angles ascomplementary or supplementary? Give examples of each type.Copyright Big Ideas Learning, LLCAll rights reserved.Big Ideas Math RedRecord and Practice Journal149

Name Date7.2PracticeFor use after Lesson 7.2Tell whether the angles are complementary, supplementary, or neither.1.2.43 47 3.48 52 128 27 Tell whether the angles are complementary or supplementary. Then findthe value of x.4.5.10x 30 (4x 40) 3x 6. Find the value of x needed to hit the ball in the hole.x 79 x 150 Big Ideas Math RedRecord and Practice JournalCopyright Big Ideas Learning, LLCAll rights reserved.

Name7.3DateTrianglesFor use with Activity 7.3Essential Question How can you construct triangles?1ACTIVITY: Constructing Triangles Using Side LengthsWork with a partner. Cut different-colored straws to the lengths shown.Then construct a triangle with the specified straws, if possible. Compareyour results with those of others in your class.red2 cmbluegreenpurple24 cm6 cm7 cma. blue, green, purpleb. red, green, purplec. red, blue, purpled. red, blue, greenACTIVITY: Using Technology to Draw Triangles (Side Lengths)Work with a partner. Use geometry softwareto draw a triangle with the two given sidelengths. What is the length of the third sideof your triangle? Compare your results withthose of others in your class.a. 4 units, 7 unitsABegin by drawing theside length of 4 units.4B7CThen draw the sidelength of 7 units.Copyright Big Ideas Learning, LLCAll rights reserved.Big Ideas Math RedRecord and Practice Journal151

Name Date7.3Triangles (continued)b. 3 units, 5 units3c. 2 units, 8 unitsd. 1 unit, 1 unitACTIVITY: Constructing Triangles Using Angle MeasuresWork with a partner. Two angle measures of a triangle are given. Draw thetriangle. What is the measure of the third angle? Compare your results withthose of others in your class.0 10180 170 1 206080 90 10 070 10 0 90 80 110 170260 0 11060 0 132015 050 013b. 60 , 75 152 Big Ideas Math RedRecord and Practice Journalc. 90 , 30 40 170 180600 1 20 10 0150 3014 04Begin by drawing theangle measure of 40 .315 0 401 040a. 40 , 70 d. 100 , 40 Copyright Big Ideas Learning, LLCAll rights reserved.

Name7.34DateTriangles (continued)ACTIVITY: Using Technology to Draw Triangles (Angle Measures)Work with a partner. Use geometry software todraw a triangle with the two given angle measures.What is the measure of the third angle? Compareyour results with those of others in your class.ABegin by drawing theangle measure of 45 .a. 45 , 55 45 b. 50 , 40 CBc. 110 , 35 What Is Your Answer?5. IN YOUR OWN WORDS How can you construct triangles?6. REASONING Complete the table below for each set of side lengths inActivity 2. Write a rule that compares the sum of any two side lengthsto the third side length.Side LengthSum of OtherTwo Side Lengths7. REASONING Use a table to organize the angle measures of each triangleyou formed in Activity 3. Include the sum of the angle measures. Thendescribe the pattern in the table and write a conclusion based on the pattern. 1 2 3 1 2 3a.b.c.d.Copyright Big Ideas Learning, LLCAll rights reserved.Big Ideas Math RedRecord and Practice Journal153

Name Date7.3PracticeFor use after Lesson 7.3Classify the triangle.1.2.60 45 30 45 3.4.114 50 33 33 Draw a triangle with the given angle measures.5. 28 , 42 , 110 6. 67 , 98 , 15 7. 31 , 59 , 90 8. What type of triangle must the hanger beto hang clothes evenly?110 35 154 Big Ideas Math RedRecord and Practice Journal35 Copyright Big Ideas Learning, LLCAll rights reserved.

NameExtension7.3DatePracticeFor use after Extension 7.3Find the value of x. Then classify the triangle.1.2.120 60 x x x x 3.4.73 x 79 x 59 5. Find the value of x.110 x Copyright Big Ideas Learning, LLCAll rights reserved.x Big Ideas Math RedRecord and Practice Journal155

Name DateExtension7.3Practice (continued)Tell whether a triangle can have the given angle measures. If not, changethe first angle measure so that the angle measures form a triangle.6. 25 , 64 , 91 7. 55.5 , 94 , 31.5 8. 85 , 64 , 30 9. 33 , 140 , 12 10. 99 , 53 , 28 156 Big Ideas Math RedRecord and Practice Journal11. 79 , 54 , 47 Copyright Big Ideas Learning, LLCAll rights reserved.

Name7.4DateQuadrilateralsFor use with Activity 7.4Essential Question How can you classify quadrilaterals?Quad means four and lateral meansside. So, quadrilateral means a polygonwith four sides.1QuadrilateralsACTIVITY: Using Descriptions to Form QuadrilateralsWork with a partner. Use a geoboard to form a quadrilateral that fits thegiven description. Record your results on geoboard dot paper.a. Form a quadrilateral with exactly one pair of parallel sides.b. Form a quadrilateral with four congruent sides and four right angles.c. Form a quadrilateral with four right angles that is not a square.d. Form a quadrilateral with four congruent sides that is not a square.e. Form a quadrilateral with two pairs of congruent adjacent sides and whoseopposite sides are not congruent.f. Form a quadrilateral with congruent and parallel opposite sides that is not arectangle.Copyright Big Ideas Learning, LLCAll rights reserved.Big Ideas Math RedRecord and Practice Journal157

Name Date7.42Quadrilaterals (continued)ACTIVITY: Naming QuadrilateralsWork with a partner. Match the names square, rectangle, rhombus,parallelogram, trapezoid, and kite with your 6 drawings in Activity 1.3ACTIVITY: Forming QuadrilateralsWork with a partner. Form each quadrilateral on your geoboard. Thenmove only one vertex to create the new type of quadrilateral. Record yourresults below.a. Trapezoidb. Kite158 Big Ideas Math RedRecord and Practice JournalKiteRhombus (not a square)Copyright Big Ideas Learning, LLCAll rights reserved.

Name7.44DateQuadrilaterals (continued)ACTIVITY: Using Technology to Draw QuadrilateralsWork with a partner. Use geometry software todraw a quadrilateral that fits the given description.Aa. a square with a side length of 3 unitsb. a rectangle with a width of 2 units andBegin by drawingtwo sides thatform a right angle.3a length of 5 units90 c. a parallelogram with side lengths ofB6 units and 1 unit3Cd. a rhombus with a side length of 4 unitsWhat Is Your Answer?5. REASONING Measure the angles of each quadrilateral you formed in Activity 1.Record your results in a table. Include the sum of the angle measures. Then describethe pattern in the table and write a conclusion based on the pattern. 1 2 3 4 1 2 3 4a.b.c.d.e.f.6. IN YOUR OWN WORDS How can you classify quadrilaterals? Explainusing properties of sides and angles.Copyright Big Ideas Learning, LLCAll rights reserved.Big Ideas Math RedRecord and Practice Journal159

Name DatePractice7.4For use after Lesson 7.4Classify the quadrilateral.1.2.3.4.Find the value of x.5.57 6.123 109 65 x 57 136 x 7. For a science fair, you are displaying your project132 on a trapezoidal piece of poster board. What is themeasure of the missing angle48 48 160 Big Ideas Math RedRecord and Practice Journal48 Copyright Big Ideas Learning, LLCAll rights reserved.