1.4 Start Thinking. 1.4 Warm Up. 1.4 Cumulative Review Warm Up

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1 . Start Thinking A polgon with three sides is called a triangle. The prefix tri- means three. One object with the prefix tri- is a tripod. Tripods have three legs and are often used to stabilize video cameras. Find the prefix for quadrilateral, pentagon, and hexagon. Then research one word using each prefix. State what each word means and provide a sentence explaining the usage of the word.. Warm Up Find the perimeter and area of the polgon... 3 cm 3 cm 5 in. cm cm 86 in. 3.. cm 5 cm 5 cm cm 6.3 in. cm. Cumulative Review Warm Up Find the perimeter of the figure.. 5 cm. 3 m 9 cm 9 m 8 cm 3 m 3 m m 7 cm Copright Big Ideas Learning, LLC Geometr Resources b Chapter 9

2 Name Date. Practice A In Exercises and, classif the polgon b the number of sides. Tell whether it is concave or convex Find the perimeter of quadrilateral PQRS with the vertices P(, ), Q (, 3 ), R(, ), and S(, 3 ). In Exercises and 5, find the area of the polgon with the given vertices.. T(, ), U( 3, 5 ), V( 3, 5) 5. A( 3, 3 ), B( 3, ), C(, ), D(, 3) In Exercises 6, use the diagram. 6. Find the perimeter of square ADEF. 7. Find the perimeter of BCD. B(, ) A(, ) F(, ) C(6, ) 8. Find the area of square ADEF. 9. Find the area of ACD.. Find the area of pentagon ACDEF. 6 D(, ) E(, ) x. A rectangle has vertices (,, ) ( 3,, ) and ( 3, 3. ) Find the remaining vertex of the rectangle. What is the area of the rectangle?. You are installing a fence around our ard. In the figure, our ard is rectangle ABCD. Each unit in the coordinate plane represents feet. A(, 3) B(7, 3) a. What is the perimeter of our entire ard? b. You consider onl installing a fence around our backard represented b rectangle ABEF. What is the perimeter of our backard? c. The cost of fencing is $5 for each 6-foot section. How much do ou save b onl installing a fence in the backard? 8 F(, 7) E(7, 7) 6 C(7, ) D(, ) 6 8 x Geometr Copright Big Ideas Learning, LLC Resources b Chapter

3 Name Date. Practice B In Exercises and, classif the polgon b the number of sides. Tell whether it is convex or concave Find the perimeter of quadrilateral ABCD with vertices A( ) B( ) C( 5, 3, ) and D(,. ),,, 3, In Exercises and 5, find the area of the polgon with the given vertices.. P(,, ) Q(,, ) R(, ) 5. A( 3, 7 ), B( 5, 7 ), C( 3, 7 ), D( 5, 7) In Exercises 6, use the diagram. 6. Find the perimeter of ABC. 7. Find the perimeter of quadrilateral ACDE. B(, 5) A(, 3) C(, 3) 8. Find the area of ABC. 9. Find the area of quadrilateral ACDE. E(, 3) F(, 3) x D(, 3). Find the area of pentagon ABCDF.. You are buing tile for our bathroom floor and baseboards for our bathroom walls. In the figure, the entire polgon represents the laout of the floor. Each unit in the coordinate plane represents foot. a. Find the area of the floor. b. Find the perimeter of the floor. c. The cost of the baseboard is $ per foot. The cost of the tile is $.5 per square foot. Find the total cost to bu tile and baseboards for our bathroom. A(, ) B(, ) 8 G(3, 7) H(, 7) 6 D(8, 7) C(, 7) F(3, ) E(8, ) 6 8 x. You and our friend go for a walk around town. You walk.8 mile east and then.5 miles south. You then return to where ou started. How far do ou travel during our entire walk? Copright Big Ideas Learning, LLC Geometr Resources b Chapter

4 Name Date. Enrichment and Extension Finding Area in a Coordinate Plane. Find the area of the triangle created b the intersecting lines below. = x + 5 = x + 3 = x + 3. Given the following intersecting lines, find an equation of a third vertical line which intersects the others to create a triangle with an area of 7 square units. = = 3 3 x 3. Given the graph of = sin( x) on the interval x, complete the following. a. Determine the area of each square unit on the graph. Round to the nearest thousandth. b. Approximatel how man squares make up the shaded region? c. Approximate the area under the curve of ( ) = sin x on x. x. Approximate the area under the curve cos( x) the interval x. = on x Geometr Copright Big Ideas Learning, LLC Resources b Chapter

5 Name Date. Puzzle Time Wh Was The Geometr Book So Sad? It Had Circle the letter of each correct answer in the boxes below. The circled letters will spell out the answer to the riddle. Indicate the number of sides of the polgon.. nonagon. hexagon 3. decagon. quadrilateral Find the perimeter, in units, of the polgon with the given vertices. Round to the nearest tenth. 5. A( 8,, ) B( 3,, ) C(, ) 6. A(, 3 ), B( 7, ), C( 8, ) 7. A( 5, 5, ) B( 5, 5, ) C( 5, 5) 8. A(, 3 ), B( 7, ), C( 8, ), D(, 5) 9. A(, 8 ), B(, 8 ), C(, ), D(, 3 ), E(, ) Find the area, in square units, of the polgon with the given vertices. Round to the nearest tenth.. A(, 8 ), B( 6, 5 ), C( 3, ). A( 5, ), B(, ), C( 5, ). A( 7, ), B(, ), C(, ) 3. A( 5, 5 ), B( 3, ), C(, ), D(, 3). A(, ), B(, ), C( 5, ), D(, 5) 5. A(, 3 ), B(, ), C(, ), D(, 3) T I E O H O A U M F Q A H G O J G M D Z N Y P I R O B I L E M S Copright Big Ideas Learning, LLC Geometr Resources b Chapter 3