Lincoln County Schools Patriot Day Instructional Expectations Patriot Day 4

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Lincoln County Schools Patriot Day Instructional Expectations Patriot Day 4 School: LCHS Course/Subject: Geometry Teacher: Hamm, Harris, Napier, Dunn Learning Target: 2.

Lesson Expectations/Standard: During this lesson, you will be practicing skills obtained in Unit 2 involving the distance formula.

1 Lincoln County Schools Patriot Day Instructional Expectations Patriot Day 4 School: LCHS Course/Subject: Geometry Teacher: Hamm, Harris, Napier, Dunn Learning Target: 2.08 I can use the distance formula to find the distance between two points. Lesson Expectations/Standard: During this lesson, you will be practicing skills obtained in Unit 2 involving the distance formula. If you need a refresher on these topics, please refer to your notes pages from the targets listed above, or use the reference link below. Complete the provided multiple choice questions and bubble in the answers on the Gradecam sheet. Standards: G.1.b. Apply the midpoint and distance formulas to points and segments to find midpoints, distances, and missing information Links to Other Assignment Options (websites or programs): Links to Resources and Support: Lesson Resource: Calculator Resource: Teacher Support: (list s &/or phone numbers here): Laura Hamm Laura.hamm@lincoln.kyschools.us Susan Harris Susan.harris@lincoln.kyschools.us Kim Dunn Kim.dunn@lincoln.kyschools.us Karlie Napier Karlie.napier@lincoln.kyschools.us *Reminder: Assignments are due back to teachers the next day we are in school, if possible, or within 1 week of the Patriot Day.

2 Day 4 - Geometry 1. The vertices of quadrilateral LMNO are listed below. L(2, 2) M(10, -6) N(2, -14) O(-6, -6) What is the approximate perimeter of the quadrilateral? A units B units C units D units 2. Jason is camping at a state park and must set up his tent in a given rectangular section. His tent has five corners that must be secured into the ground with stakes. Suppose the locations of the stakes are plotted on a coordinate plane, where the x- and y-values represent the position, in inches, from the southwest corner of his rectangular section, which is located at (0, 0). The locations of the stakes are as follows. Stake J is located at (30, 90). Stake K is located at (90, 150). Stake L is located at (150, 90). Stake M is located at (120, 30). Stake N is located at (60, 30). What is the approximate perimeter of the base of his tent? A. 240 inches B. 297 inches C. 364 inches D. 1,243 inches 3. The vertices of a triangle are listed below. Which of the following correctly classifies the triangle?

3 A. The triangle is an acute scalene triangle. B. The triangle is an obtuse scalene triangle. C. The triangle is an acute isosceles triangle. D. The triangle is a right scalene triangle. 4. What is the most specific name for figure ABC? A. scalene triangle B. equilateral triangle C. isosceles triangle D. right isosceles triangle 5. The vertices of a triangle are listed below. Which of the following correctly classifies the triangle? A. The triangle is an obtuse scalene triangle. B. The triangle is an obtuse isosceles triangle. C. The triangle is a right isosceles triangle. D. The triangle is a right scalene triangle. 6. The vertices of pentagon JKLMN are listed below. J(4, 7) K(7, 6) L(7,2) M(4, 4) N(2, 4)

4 What is the approximate perimeter of the pentagon? A units B units C units D units 7. The vertices of quadrilateral WXYZ are listed below. W(4, -3) X(9, -3) Y(13, -9) Z(4, -9) What is the approximate perimeter of the quadrilateral? A units B units C units D units 8. The vertices of rectangle LMNP are listed below. L(6, 5) M(34, 5) N(34, 17) P(6, 17) What is the perimeter of rectangle LMNP? A. 40 units B. 1,344 units C. 80 units D. 225 units 9. For a soccer practice, the coach set up four cones, labeled W, X, Y, and Z, to mark the edges of the rectangular field. Suppose the field is drawn on a coordinate plane, where the x- and y-values represent the position, in yards, from the center of the field, which is located at (0, 0). The location of the cones are as follows. Cone W is located at (-37, -56). Cone X is located at (-37, 56).

5 Cone Y is located at (37, 56). Cone Z is located at (37, -56). What is the perimeter of the field? A. 372 yards B. 8,288 yards C. 38 yards D. 186 yards 10. Teresa is visiting the arboretum to take photographs for her photography class. At the arboretum, there is a triangular water fountain which she would like to photograph. Suppose her location and the location of the water fountain are plotted on the coordinate plane, where the x- and y-values represent the position, in feet, from Teresa's location, which is located at (0, 0). The locations of the corners of the water fountain are as follows. The northern corner of the water fountain is located at (-5, 5). The western corner of the water fountain is located at (-17, -4). The southern corner of the water fountain is located at (-5, -13). What is the perimeter of the water fountain? A. 13 feet B. 270 feet C. 48 feet D. 216 feet 11. Ethan wants to purchase a rectangular lot at a lake resort. He drew the layout of the lot on a coordinate plane, where the x- and y-values represent the length, in yards. The center of the lot is located at (0, 0). The northeast corner of the lot is located at (16.5, 13). The southeast corner of the lot is located at (16.5, -13). The northwest corner of the lot is located at (-16.5, 13). The southwest corner of the lot is located at (-16.5, -13). What is the area of the rectangular lot? A. 429 square yards B. 118 square yards

6 C. 858 square yards D. 1,716 square yards

7 QualityCore Reference Sheet Geometry Area, Volume, and Surface Area of Polygons and Solids Triangle A = 1_ bh 2 Parallelogram A = bh Trapezoid A = 1_ (b 1 + b 2 )h 2 Regular Polygon A = 1_ ap 2 Regular Prism V = Bh SA = 2B + Ph Right Circular Cylinder V = πr 2 h SA = 2πr 2 + 2πrh Pyramid V = 1_ Bh 3 SA = B + 1_ Pl 2 Right Circular Cone V = 1_ πr 2 h 3 SA = πr 2 + πrl A = area b = base h = height a = apothem p = perimeter V = volume B = area of base SA = surface area P = perimeter of base r = radius l = slant height π 3.14 Sphere V = 4_ πr 3 3 SA = 4πr 2 Angles of Polygons Sum of Degree Measures of the 180(n 2) n = number of sides Interior Angles of a Polygon Degree Measure of an Interior Angle of a Regular Polygon 180(n 2) n Right Triangles Right Triangle Trigonometry sin A = cos A = a_ c b_ c Given: A tan A = a_ b b c Pythagorean Theorem a 2 + b 2 = c 2 C a B continued

8 Equations of a Line Standard Form Ax + By = C Slope-Intercept Form y = mx + b Point-Slope Form y y 1 = m(x x 1 ) A, B, and C are constants with A and B not both equal to zero. (x 1,y 1 ) is a point. m = slope b = y-intercept Coordinate Geometry Slope m = Midpoint M = x y 1 + x 2, 1 + y _ Distance d = y 2 y 1 x 2 x 1 (x 2 x 1 ) 2 + (y 2 y 1 ) 2 (x 1,y 1 ) and (x 2,y 2 ) are 2 points. m = slope M = midpoint d = distance Circles Equation of a Circle (x h) 2 + (y k) 2 = r 2 Area Formula A = πr 2 Circumference Formula C = πd = 2πr Area of a Sector with Central Angle θ A = θ πr center (h,k) r = radius A = area C = circumference d = diameter π 3.14 Key to Symbols ABC triangle ABC ABC angle ABC m ABC the degree measure of angle ABC AB line AB AB line segment AB AB the length of line segment AB Circle O circle with center point O AB arc AB is perpendicular to is parallel to is congruent to is similar to is approximately equal to 2010 by ACT, Inc. All rights reserved * * Rev 2

High School Geometry. Correlation of the ALEKS course High School Geometry to the ACT College Readiness Standards for Mathematics

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