CRS SKILL LEVEL DESCRIPTION Level 1 ALL students must attain mastery at this level
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1 PPF 501 & PPF 503 LESSON _NOTES Period Name CRS SKILL LEVEL DESCRIPTION Level 1 ALL students must attain mastery at this level PPF 501 PPF 503 Level 1 Level 2 MOST students will attain mastery of the focus skill in isolation. Level 3 SOME students will attain mastery of focus skill with other skills Level 4 SOME students will attain mastery of focus topics covered in a more abstract way Level 5 FEW students will attain mastery of the extension PPF 301 Exhibit some knowledge of he angle associated with parallel lines PPF 401 Find the measure of an angle using properties of parallel lines PPF 402 Exhibit knowledge of basic angle properties and special sums of angle measures PPF 501 Use several angle properties to find an unknown angle measures PPF 503 Use properties of isosceles triangles PPF 601 Draw conclusions based on a set of conditions skill. VOCABULARY Point, Line, Ray, Segment, Angle, Plane, Acute Angle, Obtuse Angle, Straight Angle, Right Angle, Vertical Angles, Complementary Angles, Supplementary Angles, Linear Pair, Transversal, Corresponding Angles, Alternate Interior Angles, Alternate Exterior Angles, Consecutive Interior, Isosceles triangle REQUIRED SKILL TO MASTER Parallel Lines 1, Complementary and supplementary angles, Equation practice with vertical lines Additional Practice on KHAN Equations practice with congruent lines, Equation practice with angle addition, Finding angle measures 1, Finding angle measures 2, Angles of a polygon Push: Line and angle proofs 1. Name each angle in 3 different ways, and tell whether each angle is acute, obtuse, right, or straight. 1
2 2. Match the following terms with their picture and with their symbol Name Picture Symbol Point Line Ray Segment Plane Angle Picture Choices A. B. C. D. Symbol Choices 1. NP 2. NP 3. NPQ 4. PQR or R 5. NP or q E. 6. N F. 2
3 3. Use the diagram to the right to find the measure of each angel. a. m ORE= b. m ORN= c. m REA= d. m N= e. m GEA= N 4. Measure each angle with a protractor. Recort your measurments to the right (extend lines if needed) 5. Find the value of x in each of the following. a. b. c. 3
4 Term Rule Picture Vertical Angles Linear Pair If angles are vertical, then they are. If angles are a linear pair, then Complementary Angles If two angle are complementary then the sum of their measures is 1 2 Supplementary Angles If two angle are supplementary then the sum of their measures is Bisector Angles of a Triangle The sum of the measures of a triangle equals. The sum of the angle of any polygon The sum of the angles of any polygon can be found using the following formula Whole equals the sum of the parts Transversal A line that intersects t g h 4
5 Parallel lines cut by a transversal If two parallel lines are cut by a transversal then _ Consecutive Angels of a Parallelogram Consecutive angles of a parallelogram are Opposite angles of a parallelogram Opposite angles of a parallelogram are Corresponding Angles If two parallel lines are intersected by a transversal, then t g h Alternate Interior Angles If two parallel lines are intersected by a transversal, then t g h Alternate Exterior Angles If two parallel lines are intersected by a transversal, then w r y Consecutive Interior Angles If two parallel lines are intersected by a transversal, then w r y 5
6 6. Find the missing angle measure in each figure below. 7. If the measure of 1 = 70 and line p is parallel to q, find the measures of the other angles in the diagram. 2 = 3 = 4 = 5 = 6 = 7 = 8 = 8. Find the value of x and y in the figure below. 6
7 9. In the figure below BD is the angle bisector of CBA. Find the m CBD and m CBA. Level In the picture below lines j and k are parallel. Solve for x and find the measure of the each angle. X = m 1 = j 1=(8x+60) m 2 = m 3 = 2=(2x+120) k Given m ADC = 135, find x, m BDC, and m ADB. X= m BDC= m ABD= 12. Solve for x using the angle relationship. 7
8 13. Find the measure of each angle below. 14. Given that line l and m are parallel, find the unknown angle measures: 15. Find the measure of 1 in each figure below. 16. In the figure below find the m AEB. m CED, and m EDC m AEB= A m EAB = 79 E C m ECD = 92 m CED= m EDC= B m ABE = 55 D 8
9 17. If m ACD=17, find m BDA, and m ABD. B m BDA= D m ABD= A C 18. Find m BCE in the figure to the right. C m ABC = 155 m CED = 51 A B E D 19. Given m ABC = 116, find x, m DBC, and m DBA. m DBC= m DBA= 9
10 20. Find the measure of A in the isosceles triangles below. 21. Find the value of x in each of the following. 10
11 Level Find the measure of V in each figure. 23. Find the m LNO in the figure below. P m KPO = 56 L K M N O 24. Find the value of x and y in the figure below. 11
12 Level In the figure below L1 and L2 are parallel, T1 and T2 are also parallel. If m a =105, find the measure of the all other angles. 26. How many sides does a regular polygon have if one of its interior angles measures 144? 27. If a regular polygon has 8 sides, how many degrees are there in any one of its angles? 12
13 Level Find the measure of each missing angle indicated below. m a= m b= m c= m d= m e= m f= m g= m h= m k= m m= m p= m r= m s= 29. Find the measure of each of the following: m 1= m 2= m 3= m 4= m 5= m 6= m 7= m 8= m 9= 13
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CONDENSED LESSON 6.1 Tangent Properties In this lesson you will Review terms associated with circles Discover how a tangent to a circle and the radius to the point of tangency are related Make a conjecture
CHAPTER 8 QUADRILATERALS. 8.1 Introduction
CHAPTER 8 QUADRILATERALS 8.1 Introduction You have studied many properties of a triangle in Chapters 6 and 7 and you know that on joining three non-collinear points in pairs, the figure so obtained is
Preparation Prepare a set of standard triangle shapes for each student. The shapes are found in the Guess My Rule Cards handout.
Classifying Triangles Student Probe How are triangles A, B, and C alike? How are triangles A, B, and C different? A B C Answer: They are alike because they each have 3 sides and 3 angles. They are different
56 questions (multiple choice, check all that apply, and fill in the blank) The exam is worth 224 points.
6.1.1 Review: Semester Review Study Sheet Geometry Core Sem 2 (S2495808) Semester Exam Preparation Look back at the unit quizzes and diagnostics. Use the unit quizzes and diagnostics to determine which