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Homework Grade 7 Week of 2/22 – 2/26 Monday, 2/22 Wksh: Definitions and Mixed Review (p 2 – 3) Tuesday, 2/23 Wksh: Vertical, Complementary, and Supplementary Angles (p 4) Wednesday, 2/24 Developmental Guidance. No math class. Thursday, 2/25 Wksh: Triangle Inequality (p 5) Friday, 2/26 No quiz this week. Quiz next Friday, March 4th Print out next week’s hw packet. Topics covered for the week Definitions Types of Triangles Classifying Quadrilaterals Vertical, Complementary, Supplementary Angles Parallel Lines cut by a Transversal Triangle Inequality Area and Perimeter of Polygons Textbook Additional help can be found in Chapter 6 pp 285 – 286 Chapter 9 pp 462 – 463 Chapter 10 pp 511 – 520 Chapter 13 pp 708 – 713, 716 – 728 Chapter 13 pp 721 – 728 Chapter 10 pp 508 – 534 1 Name ________________________________ Math Date _________________________________ Period _____ Definitions Classify each angle as acute, obtuse, straight, or right. 1) 2) 3) ____________ ____________ ____________ Is the figure a polygon? Write yes or no and explain why. 5) 6) 7) 4) ____________ 8) Fill in the blank. 9) A ________________________ is a closed figure that is made up of line segments that do not cross. 10) A _______________________ is an intersection point of two or more line segments. 11) A polygon with eight sides is called an _______________________. 12) Two lines that intersect to form right angles are called _______________________________ lines. 13) The sum of all the angles in any triangle is ____________ degrees. 14) A __________________ is a segment that goes through the center of a circle and has end points on the circle. 15) A __________________ is a segment that has endpoints on the circle. 16) Name the parts of the circle. AB ___________________ CD ___________________ FE ___________________ EFD ___________________ 2 Mixed Review 1) What additional characteristics are needed in order for a rhombus to be a square? ____________________________________________________________________________________ 2) What is the difference between a rhombus and a parallelogram? ____________________________________________________________________________________ State whether each statement is true or false. 3) All trapezoids are parallelograms. ____________________ 4) Some quadrilaterals are squares. ______________________ 5) Some rhombuses are squares. _____________________ 6) Some rectangles are squares. _________________________ 7) Every parallelogram is a rectangle. ____________________________ 8) Not every quadrilateral is a parallelogram. _____________________________ Fill in the blanks. 9) A triangle with angles of 300, 600, and 900 is called a __________________________ triangle. 10) A triangle with sides of 6cm, 6cm, and 6cm is called a(n) ________________________ triangle. 11) A right triangle has one right angle and the other angles are ___________________. 12) The largest angle is ________________________ the largest side in a triangle. State whether each statement is true or false. 13) An equilateral triangle is isosceles. ______________________ 14) A triangle can have more than one right angle. ______________________ 15) A scalene triangle may be isosceles. _________________ 16) An equilateral triangle cannot be obtuse. ____________________ 17) A right triangle may be an acute triangle. ______________________ 18) A triangle cannot have more than one obtuse angle. _________________ 3 Name _______________________________ Math Date ________________________________ Period _____ Vertical, Complementary, and Supplementary Angles Fill in the blank. 1) The complement of an angle that measures x degrees is ___________________. 2) The supplement of an angle that measures 3y is ____________________. Write an equation and solve for x. Show all work. 3) 4) 5) 6) 4 Name _______________________________ Math Date ________________________________ Period _____ Triangle Inequality 1) Based on today’s class work, answer the following: a) In order for the lengths to form a triangle, what must be true? ____________________________________________________________________________________ ____________________________________________________________________________________ b) When is it not possible to form a triangle with the combination of lengths? ____________________________________________________________________________________ ____________________________________________________________________________________ c) Give an example of three lengths that form a triangle. Use what you know in order to prove that the three sides form a triangle. 2) Without using the sticks, decide which combination of side lengths can form a triangle. Explain your answer for each problem. a) 5in, 12in, and 6in b) 9in, 6in, and 5in c) 7in, 7in, and 14in d) 12in, 12in, and 23in 3) Mike wants to construct a triangle-shaped board game. He has the measurements for two sides of the triangle. The lengths of the two sides of the triangle are 10in. and 15in. What is shortest possible length that the third side could be? 10in, 15in, ____________ What is the longest possible length that the third side could be? 10in, 15in, _____________ 4) Determine all the possible values of “x” to create a triangle. a) 5, 5, x b) 30, 40, x 5