4 th Six Weeks Geometry PAP

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1 Name Period Teacher

2 MONDAY TUESDAY WEDNESDAY THURSDAY FRIDAY Jan 4 Student Holiday Teacher Workday Radicals Review HW: Wksht Radicals Review day 1 & Watch Video Pythagorean Theorem.1 Working with Pythagorean theorem CW: Activity Wksht.1 Give out project HW: Video Similar Right Triangles.1 Working with Pythagorean theorem CW: Activity Wksht.1 Give out project HW: Video Similar Right Triangles Special right triangles CW: Wksht day 1 HW: Video Special Right Triangles. Special right triangles CW: Wksht day 1 HW: Video Very Special Special Right Triangles Combo day & Very Special Special Right Triangles Quiz CW: Combo Day and very special worksht Combo day & Very Special Special Right Triangles Quiz CW: Combo Day and very special Wksht No School Test # HW: EOC Practice #1 Watch video Trig Day 1. Trig Day 1 CW: Trig Day 1 & Trig Ratio problems HW: Watch Video Trig Day.Trig Day 1 CW: Trig Day 1 & Trig Ratio Problems HW: Watch Video Trig Day 9.4Trig Word problems day 1 CW: Trig Word problems 1 and HW: Complete what not finished in class.4trig Word problems day Quiz HW: Complete problems not finished in class Review Day Formula Quiz EOC #1 Due Review day Formula Quiz EOC #1 Due Feb Area of para. and Triangles, Heron s Form CW: Area of Para & Heron s HW: Video on Rhombus & Kites 1. Area of Rhombus, Kites, and Trapezoids Warm up 1 CW: Area of Rhom, Kites, & Trap HW: Complete classwork Workday Area of figures with SRT and Trig Warm up CW: Area with SRT and Trig HW: Video Similar Fig. Workday Area of figures with SRT and Trig Warm up CW: Area with SRT and Trig HW: Video Similar Fig 9 11 Formula Quiz Review More EOC # Due 4 th Six Weeks Geometry PAP Test # HW:EOC Practice # Video on Arc Length & Sector Area 11.1 Circumference and Arc Length CW Wrksht Arc Length Sector Area 11.1 Circumference and Arc Length CW: Wrksht Length sector Area Quiz Workday Arc Length and Sectors CW: Finish Arc length & Sector Area HW: Video Area Regular Polygons 1. Area of Regular Polygons day 1 Warm up CW: Regular Polygons Day 1 HW: Video Regular Polygons Day 1. Area of Regular polygons and Warm up CW: Regular Polygons & HW: Complete classwork 1. Area of Regular Polygons and Warm up CW: Regular Polygons & HW: Complete classwork 9.4 Similar right triangles (MBD) CW: Worksheet. Sim. Right Triangles HW: Video Special Right Triangles Review Recitation Due (Quiz) HW: Finish Review. Trig Day Quiz 1 CW: Trig Day HW: Watch Video Trig Word problems Test #11 HW: EOC Practice # Watch Video Area of Parrallograms and Triangles 1.4 Perimeter and Area of similar figures Warm up CW: Similar Fig HW: Finish classwork start more Area of Circles and Sectors Warm up 1 CW: Continue from day before Review Formula Quiz CW: Review HW: Study

3 Heron s Formula Practice Name Find the area of each triangle, leave answer as a simplified radical. abc,, represent side lengths. 1 s a b c A s s a s b s c 1) ) ) ) ) ) ) ) 9) ) 11) ) ) 14) 1) Page 1 Answers:

4 1-1 Practice for Area of Triangles, Rectangles, Parallelograms Leave answers exact Find the area of the polygon. 1)* ) ) m. m. Find the value of x. 4) ) ) The lengths of the hypotenuse and one leg of a right triangle are given. Find the perimeter and area of the triangle. ) Hypotenuse: 1 ft; leg: ft ) Hypotenuse: in.; leg: 4 in. Find the area of the quadrilateral. 9) ) 11) Find the area of the shaded polygon. ) 1) 14) 1) The area of a triangle is square units. The base of the triangle is twice the height. Find the base and height. 1) The area of a parallelogram is 1 square centimeters. The height of the parallelogram is two thirds its base. Find the base and height. 1) The area of a square is square units. Find the side length and perimeter of the square. 1) The area of a rectangle is 4 square inches. The length of the rectangle is inches longer than twice the width. Find the width and the perimeter of the rectangle. 19) In ABCD, base AD is units and AB is units. Find the height and area of ABCD if m A. 0) In EFGH, base EH is 1 units and EF is units. Find the height and area of EFGH if m E. Page

5 Extra Problems with SRT and Trig for 1-1 1) ) ) 1 in. in. in. 1 in. 4) ) ) in. in. 1 in. in. ) ) 9) cm cm in. cm cm 9 in. in. Page 1) 14.0 ).0 ) ) 1 or 4 ) ) ) 9) 0.9 )

6 1- Area of Rhombus, Trapezoids, and Kites Find the area of the trapezoid. 1) ) ) Find the area of the rhombus or kite. 4) ) ) Use the given information to find the value of x. ) ) 9) Find the area of the figure. ) 11) ) Find the lengths of the bases of the trapezoid described. 1) The height is meters. One base is three times as long as the other base. The area is 0 square meters. 14) The height is feet. One base is 4 feet longer than the other base. The area is 0 square feet. Find the area of the shaded region. 1) 1) 1) Page 4

7 1) 19) 0) 1) Making a Kite: You are making a kite. The frame is to be made from two pieces of balsa wood, one measuring 0 inches and the other inches. If you buy 1 square yard of material, will you have enough to piece together the covering for the kite? Explain and show work. ) Garage Roof: The garage roof shown is made from two isosceles trapezoids and two isosceles triangles. Find the area of the entire roof. Page

8 1-1 & 1-Area Practice with SRT and Trig Find Area of the following problems. If the problem has a *, then the answer should be exact. All other problems, answers should be rounded to the nearest thousandths. 1) ) )* 4 4 4)* ) )* 0 0 ) ) 9)* 1 4 Page

9 )* 11)* ) ) 14) 1) )* 1)* 1) Page

10 Worksheet more 1.1 to 1. PAP Name Draw a diagram if needed. All answers must be exact unless otherwise told in the problem. Show work or no credit. 1) A walk m. wide surrounds a rectangular grass plot 0m. long and m. wide. Find the area of the walk. ) The longer diagonal of a rhombus is times as long as the shorter diagonal. Find the length of the shorter diagonal if the area is 4 in. ) A triangular shaped boat sail is 1 feet high. Find the length of the base if the area is 40 ft. 4) Find the area of the shaded region. ) Find the area of ADB A D B ) Find the area of the trapezoid whose coordinates are,0 ; 0,4 ;,4 ;,0. ) Find the area of the rhombus whose coordinates are, 1 ;, ;, ;,. ) Find the area of the trapezoid to the right. 9) Find the area of the rhombus to the right. Page

11 ) A rhombus has sides of length m and one diagonal of length 1 m. Find its area. 11) A service station operator bought the parallelogram shaped lot A and the adjoining lot B for $ per square foot. What was the total cost? ) A triangle and a parallelogram each have an area of 4 and a height of 4. How do their bases compare? Find the area of each figure. 1) 14) 1) Find the area of each trapezoid. Don t forget Special Right Triangles. 1) 1) 9 4 Page 9

12 1) AB, DC, and EF are parallel. 19) Find the area of rhombus QRST if Find the area of hexagon ABCFED. m QSR 0 and the length of the shorter diagonal is. R Q S T (Hint for #0-, Remember the base does not have to be the part that is horizontal) 0) Find AB. 1) Find AB. ) Find AB. A B A B B A 14 For problems -, make sure to know how to do these problems. ) The area of a rectangle is given by the equation 4, in which is the rectangle s length. What is the length of the rectangle? 4) The area of a rectangle is m m, and the width is m 1. What would the length of the rectangle be? ) The area of a rectangle is 14k 9k, and the width is k. What would the length of the rectangle be? ) The area of a rectangle is c c, and the width is c. What would the length of the rectangle be? Page

13 1-4 Similar Figures The polygons are similar. Find the ratio (shaded to unshaded) of the perimeters and of the areas. Find the unknown area. 1) ) ) 4) The ratio of the areas of two similar figures is given. Write the ratio of the lengths of corresponding sides. ) Ratio of areas = 19:144 ) Ratio of areas = 1:19 ) Ratio of areas = : Use the given area of find XY. ) ABCD WXYZ 9) EFGHJK UVWXYZ Find the ratio (shaded to unshaded) of the areas. ) 11) Page 11

14 ) ABC and DEF are similar. The height of ABC is 0 inches. The base of DEF is inches and the area is 40 square inches. Find the area of ABC. 1) The dimensions of a rectangle are centimeters by centimeters. What are the dimensions of a similar rectangle with exactly double the area? 14) Rhombus RSTU and rhombus VWXY are similar. The area of RSTU is 4 square feet. The diagonals of VWXY are 4 feet long and 1 feet long. Find the area of VWXY. Then use the ratio of the areas to find the lengths of the diagonals of RSTU. Find the length of a side of RSTU. 1) Regular hexagon ABCDEF has a side length of millimeters and an area of 9 square millimeters. Regular hexagon JKLMNO has a perimeter of millimeters. Find its area. Use the information about a pair of similar polygons to find all possible values of x. 1) The area of ABC is The area of DEF is x 9 The perimeter of ABC is. The perimeter of DEF is x. 1) The area of HIJK is x 4 The area of STUV is. The perimeter of HIJK is x. The perimeter of STUV is x The polygons are similar. Find the values of x and y (if applicable) 1) 19) 0) 1) ) ) 4) ) Page

15 Review Chapter PAP Find the shaded area of each figure: 1 m 1.. m m m cm cm cm cm cm 4 m 9 cm in 1 ft 4 in in 1 in in in 4 in 4 in 11 ft 0 ft Find the area of shaded figure m 4 m ft ft 0 0 in 9 m m m m. m. m.1 m Page 1

16 1. A trapezoid has an area of in, one base is 1 in, and the height is 9 in. Find the length of the missing base. 1. The area of a trapezoid is 9 square meters. The trapezoid has two bases that measure meters and 1 meters. What is the height in meters of the trapezoid? 1. A 4. by m kitchen floor will be covered with square vinyl tiles that are 0 cm on a side. How many tiles will be needed? 19. The area of a rectangle is m m, and the width is m 1. What would the length of the rectangle be? 0. John needs to paint a accent was in his living room. The wall is feet long by feet high. If each gallon of paint cover 0 square ft, how many gallons of paint will he need to do coats on the wall. 1. Mr. Fixit wants to tile his dining room floor. The room has dimensions of 1 feet by feet. It he is using square tiles that sides measure foot. How many tiles will be needed for the room?. The width of a rectangle is 1 inches and the area is 0 inches squared. What is the length of the diagonal of the rectangle?. Find the height of the following isosceles trapezoid if the perimeter is 4 inches. in 0 in 4. Find the area (in square units) of a rhombus with vertices of A 1,4, B, 1, C 1,, and D 4, 1.. The base of a parallelogram is times its height. The area of the parallelogram is square inches. Find the base and the height.. A right triangle has a hypotenuse of 1 cm and a height of cm. What is perimeter and area?. Two similar triangles have bases of cm and 1 cm. The smaller triangle has an area of 19 cm. What is the area of the second triangle? Round answer to hundredths if necessary?. Find the length of JK. 9. Find the area of the shaded figure. m m 4 m 4 m m m Page 14 1 m