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Name _______________________________________ Date ____________________ Polygons and Quadrilaterals Chapter 6 Test Circle the best answer (3 points each). 1. Which best describes the figure? A) regular convex heptagon B) irregular convex heptagon C) irregular concave heptagon D) irregular convex hexagon 2. What is the measure of each interior angle in a regular convex nonagon? A) 40 B) 180 C) 140 D) 1260 3. What is the value of a? A) 2 B) 180 C) 90 D) Not here 4. Which of the quadrilaterals MUST be parallelograms? A) 1 only B) Neither 1 nor 2 C) 2 only D) Both 1 and 2 5. Which is the best name for the quadrilateral with vertices at (2, 2), (5, 2), (1, 5), and (2, 1)? A) parallelogram B) rhombus C) rectangle D) square 6. In parallelogram DEFG, what is EG ? A) 25 B) 50 C) 30 D) Not here 7. In parallelogram JKLM, what is the value of mK? A) 15 B) 65 C) 57 D) 115 8. In kite UVWX, mXUV 84°, and mWVX 68°. What is mVWX? A) 22 B) 44 C) 42 D) 45 9. GE 5x 2 and DF 8x 7. What is GE? A) 16 B) 17 C) 18 D) 19 Show work for partial credit (4 - 8 points each). 10. Find the sum of the measures of the interior angles of the polygon. ________________________________________ 11. Find the measures of each interior AND exterior angle of a regular octagon. ________________________________________ 12. ABCD is a parallelogram. Find 𝐴𝐵 and 𝐵𝑋 . ________________________________________ 13. EFGH is a parallelogram. Find mE. ________________________________________ 14. ABCD is a rectangle with diagonals BD and AC that intersect at X. BD 12x 6 inches and 𝐴𝑋 4x 5 inches. Find 𝐷𝑋. ________________________________________ 15. RSTQ is a rhombus. Find mPST. ________________________________________ 16. Find the coordinates of point G to make quadrilateral EFGH with E (1, -2), F (-5, 0), and H (2, 1) a parallelogram. ________________________________________ 17. In kite JKLM, mLMN 25, and mLKN 43. Find mMLK. ________________________________________ 18. In trapezoid ABCD, find mA. ________________________________________ 19. In trapezoid PQRS, what is the length of midsegment XY ? ________________________________________ 20. Find the diagonal lengths and slopes to determine whether the parallelogram with vertices (3, 2), (1, 4), (8, 5), and (6, 7) is a rectangle, rhombus, and/or square. Write down 2 lengths, 2 slopes, and all names that apply (8 pts). ________________________________________ 21. Make up a question from the chapter AND solve it. ________________________________________ Challenge problems (3 pts each) Find the perimeter of a square if half of a diagonal is equal to 8 inches. ______________________________ Determine the value of x and y. ______________________________ Brooke has taken 4 math tests so far this term. She scored an 88, 87, 94, and 84. What score does she need on the last test to average a 90? ______________________________