Geometry Teachers Weekly Assessment Package Unit 8. Created by: Jeanette Stein
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1 Geometry Teachers Weekly Assessment Package Unit 8 reated by: Jeanette Stein 2018HighSchoolMathTeachers 1 Semester 2 Skills Geometry Weekly Assessments 2018HighSchoolMathTeachers
2 SEMESTER 2 SKILLS 3 UNIT 8 5 WEEK #25 6 WEEK #26 8 WEEK #27 8 WEEK #28 9 UNIT 8 - KEYS 10 WEEK #25 KEY 11 WEEK #26 KEY 132 WEEK #27 KEY 13 WEEK #28 KEY 14 2 Semester 2 Skills Geometry Weekly Assessments 2018HighSchoolMathTeachers
3 Geometry ommon ore Semester 2 Skills Number Unit SS Skill 1 7 HSG.GPE..4 Use coordinates to prove simple geometric theorems algebraically 2 7 HSG...11 Prove theorems about parallelograms 3 7 HSG.GPE..7 Use coordinates to compute perimeters of polygons and areas of triangles and rectangles 4 8 HSG..A.1 Prove similarity in circles 5 8 HSG..A.2 escribe the relationships among parts of a circle 6 8 HSG..A.3 onstruct the inscribed and circumscribed circles of a triangle 7 8 Prove properties of angles for a quadrilateral inscribed in a circle 8 8 HSG..A.4 onstruct a tangent line 9 8 HSG.GPE.A.1 erive the equation of a circle 10 8 Find the center and radius of a circle given by an equation 11 8 HSG...5 erive the fact that the length of the arc intercepted by an angle is proportional to the radius 12 8 efine the radian measure 13 8 erive the formula for the area of a sector 14 8 HSG.GPE.A.2 erive the equation of a parabola 3 Semester 2 Skills Geometry Weekly Assessments 2018HighSchoolMathTeachers
4 Number Unit SS Skill 15 8 HSG.GPE.A.3 erive the equations of ellipses 16 8 erive the equations of hyperbolas 17 9 HSG.GM.A Give an informal argument for the formulas for the circumference of a circle, area of a circle, volume of a cylinder, pyramid, and cone Use dissection arguments, avalier i s principle, and informal limit arguments 19 9 HSG.MG.A.3 Solve design problems HSG.GM.A HSG.GM Use volume formulas for cylinders, pyramids, cones, and spheres to solve problems Identify the shapes of two-dimensional cross-sections of threedimensional objects Identify three-dimensional objects generated by rotations of two-dimensional objects HSG.MG.A.1 Use geometric shapes to describe objects HSG.MG.A.2 Apply concepts of density in modeling 4 Semester 2 Skills Geometry Weekly Assessments 2018HighSchoolMathTeachers
5 Unit 8 Weekly Assessments 5 Geometry Weekly Assessments 2018HighSchoolMathTeachers
6 Week #25 1. In the circle below, is the center and E is a straight line. 2. Two concentric circles have a common center as shown. Their radii are 3 in and 4.5 in. E 28 A a) Find the size of. b) Find the size of A. a) State whether they are similar. b) Explain your answer in (a) above. 3. Use the figure below to answer the questions that follow. JM = 154 and JKL = 20. J 4. Use the figure below to answer the questions that follow. 32 M L K 56 A a) Find the size of. a) Find the size of JL. b) Find the size of A. b) Find the size of JLK. 5. A rectangle has vertices at points A( 4, 6), (12,6), (18,0) and (2, 14). 6. A triangle has vertices at points M( 8, 4), N( 8,4) and ( 2, 4). 6 Unit 8 Geometry Weekly Assessments 2018HighSchoolMathTeachers
7 Week #26 1. In the circle below, A is a diameter. 2. onstruct a circumscribed circle on the triangle given below. 72 A a) Find the size of. b) Find the size of A. 3. onstruct a tangent to the circle below through point P. 4. The equation of a circle is x 2 + y 2 = 144. a) Find its radius. P b) Find the coordinates of y- intercepts. 5. An isosceles trapezoid has coordinates at points A( 4, 1), (3, 1), (1, 1) and ( 2, 1). 6. A triangle has its coordinates at points J( 3, 1), K(0, 3) and (3, 1). 7 Unit 8 Geometry Weekly Assessments 2018HighSchoolMathTeachers
8 Week #27 1. The equation of a circle is x 2 + y 2 + 6x 14y + 42 = 0. a) Find its radius. b) Find the coordinates of its center. 2. The equation of a circle is x 2 + y 2 4 = 0. a) Find its center. b) Find its radius. 3. A sector of a circle is enclosed by radii of length 5 in each and arc with a length of 3 in. The angle between the radii is β. a) alculate the radian measure of β. 4. A sector is formed in a circle of radius 12.5 in by a central angle of 13. Find the area of the sector. b) A similar sector has a radius of 12 in. Find its arc length. 5. Use the figure below to answer the questions that follow. E 88 A 71 a) alculate the size of. b) alculate the size of. 6. In the figure below, is the center of the circle and = 40. A E a) Find the size of A. b) Find the size of. 8 Unit 8 Geometry Weekly Assessments 2018HighSchoolMathTeachers
9 Week #28 1. The equation of a parabola is x 2 = 88y. a) Find coordinates of its focus. 2. The equation of the ellipse is x y2 4 = 1. a) Find its vertices. b) Find the equation of the directrix. b) Find the coordinates of its foci. 3. A sector is formed in a circle of radius 3 in by an arc length of 5.4 in. a) Find the radian measure of the central angle of the sector. 4. The equation of the ellipse is x2 a) Find its vertices. b) Find the coordinates of its foci y2 196 = 1. b) Find the arc length of a similar sector with a radius of 5 in. 5. The equation of a circle is x 2 + y 2 + 4x + 6y = 39. a) Find the coordinates of the center. 6. A sector is formed in a circle of radius 10 in by an angle θ and an arc length of 8 in. a) Find the radian measure of θ. b) Find its center. 9 Unit 8 Geometry Weekly Assessments 2018HighSchoolMathTeachers
10 Unit 9 - KEYS Weekly Assessments 10 Unit 9 - KEYS Geometry Weekly Assessments 2018HighSchoolMathTeachers
11 Week #25 KEY 1. In the circle below, is the center and E is a straight line. 2. Two concentric circles have a common center as shown. Their radii are 3 in and 4.5 in. E 34 A a) Find the size of. 56 b) Find the size of A. 124 a) State whether they are similar or not. They are similar b) Explain your answer in (a) above. A dilation with a scale factor of 1.5 about the center will make the small circle map onto the big one. 3. Use the figure below to answer the questions that follow. JM = 154 and JKL = 20. J 4. Use the figure below to answer the questions that follow. 42 M L K 56 A a) Find the size of. 82 a) Find the size of JL. 114 b) Find the size of A. 82 b) Find the size of JLK A rectangle has vertices at points A( 4, 6), (12,6), (18,0) and (2, 14). 60 units 200 square units 6. A triangle has vertices at points M( 8, 4), N( 8,4) and ( 2, 4). 24 units 24 square units 11 Unit 9 - KEYS Geometry Weekly Assessments 2018HighSchoolMathTeachers
12 Week #26 KEY 1. In the circle below, A is a diameter. 2. onstruct a circumscribed circle on the triangle given below. 72 A a) Find the size of. 18 b) Find the size of A onstruct a tangent to the circle below through point P. P 4. The equation of a circle is x 2 + y 2 = 144. a) Find its radius. 12 units b) Find the coordinates of y- intercepts. (0, 12) and (0,12) 5. An isosceles trapezoid has coordinates at points A( 4, 1), (3, 1), (1, 1) and ( 2, 1). ( )units 6. A triangle has its coordinates at points J( 3, 1), K(0, 3) and (3, 1). 16 units 12 square units 10 square units 12 Unit 9 - KEYS Geometry Weekly Assessments 2018HighSchoolMathTeachers
13 Week #27 KEY 1. The equation of a circle is x 2 + y 2 + 6x 14y + 42 = 0. a) Find its radius. 4 in c) Find the coordinates of its center. enter ( 3,7) 2. The equation of a circle is x 2 + y 2 4 = 0. a) Find its center. (0,0) b) Find its radius. 2 in 3. A sector of a circle is enclosed by radii of length 5 in each and arc with a length of 3 in. The angle between the radii is β. c) alculate the radian measure of β d) A similar sector has a radius of 12 in. Find its arc length. 4. A sector is formed in a circle of radius 12.5 in by a central angle of 13 Find the area of the sector in 2 20 in 5. Use the figure below to answer the questions that follow. E A c) alculate the size of. 109 d) alculate the size of In the figure below, is the center of the circle and = 40. A c) Find the size of A. 70 d) Find the size of. 40 E 13 Unit 9 - KEYS Geometry Weekly Assessments 2018HighSchoolMathTeachers
14 Week #28 KEY 1. The equation of a parabola is x 2 = 88y. a) Find coordinates of its focus. (0,11) b) Find the equation of the directrix. y = The equation of the ellipse is x y2 4 = 1. a) Find its vertices. (±7,0) b) Find the coordinates of its foci. ( 45, 0) and ( 45, 0) 3. A sector is formed in a circle of radius 3 in by an arc length of 5.4 in. a) Find the radian measure of the central angle of the sector. 1.8 b) Find the arc length of a similar sector with a radius of 5 in. 9 in 4. The equation of the ellipse is x2 a) Find its vertices. (±14,0) 16 + y2 b) Find the coordinates of its foci. (0, 180) and (0, 180) 196 = The equation of a circle is x 2 + y 2 + 4x + 6y = 39. a) Find the coordinates of the center. ( 2, 3) b) Find its center. 5 units 6. A sector is formed in a circle of radius 10 in by an angle θ and an arc length of 8 in. a) Find the radian measure of θ in 2 14 Unit 9 - KEYS Geometry Weekly Assessments 2018HighSchoolMathTeachers
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