Geometry Chapter 6 REVIEW Problems Name: _____________________________ 3/4/2015 NOTE: back page has a helpful table! 1. Find the sum of the measures of the interior angles of the figure. 2. The sum of the interior angle measures of a polygon with s sides is 2340. Find s. 3. Find the missing values of the variables. The diagram is not to scale. 119° 106° x° y° 74° 4. Find the value of x. The diagram is not to scale. (3x + 10)º 148º (x)º 112º Geometry Chapter 6 REVIEW Problems 5. Find 3/4/2015 . The diagram is not to scale. 96° 118° 115° 104° A 6. The sum of the measures of two exterior angles of a triangle is 264. What is the measure of the third exterior angle? 7. How many sides does a regular polygon have if each exterior angle measures 30? 8. This jewelry box has the shape of a regular pentagon. It is packaged in a rectangular box as shown here. The box uses two pairs of congruent right triangles made of foam to fill its four corners. Find the measure of the foam angle marked. x x 9. In the parallelogram, scale. J K O M L and Find The diagram is not to Geometry Chapter 6 REVIEW Problems 10. ABCD is a parallelogram. If scale. A then 3/4/2015 The diagram is not to B D C 11. In parallelogram DEFG, DH = x + 2, HF = 2y, GH = 4x – 3, and HE = 5y + 1. Find the values of x and y. The diagram is not to scale. D E H G F 12. Find values of x and y for which ABCD must be a parallelogram. The diagram is not to scale. A B 3x – 14 y + 11 4y – 7 x+ 2 D C Geometry Chapter 6 REVIEW Problems 3/4/2015 13. What is the most precise name for quadrilateral ABCD with vertices A(–5, 2), B(–3, 5), C(4, 5), and D(2, 2)? y 5 –5 5 x –5 Find the value of each variable. | | 14. In the rhombus, The diagram is not to scale. 3 1 | | 2 15. In rectangle KLMN, KM = K L N M 16. In quadrilateral ABCD, rhombus? A D and LN = 64. Find the value of x. and B C . For what value of x is ABCD a Geometry Chapter 6 REVIEW Problems 17. are base angles of isosceles trapezoid JKLM. If 18. 3/4/2015 and ABCD is a trapezoid. What is LM? A B L M D C 19. and Find The diagram is not to scale. R | | S || || U T 20. In the coordinate plane, three vertices of rectangle MNOP are M(0, 0), N(0, c), and P(d, 0). What are the coordinates of point O? y 5 –5 5 x –5 Geometry Chapter 6 REVIEW Problems 3/4/2015 21. Write a two-column proof. Given: Prove: V U X S T 22. In the coordinate plane, draw parallelogram ABCD with A(–5, 0), B(2, –6), C(8, 1), and D(1, 7).Then demonstrate that ABCD is a rectangle. Geometry Chapter 6 REVIEW Problems 3/4/2015 23. Write the Given and Prove statements for a proof of the following theorem: If a quadrilateral is a kite, then its diagonals are perpendicular. Kite and its diagonals have been drawn for you. y A D B C x Geometry Chapter 6 REVIEW Problems Quadrilateral “Helper” Diagrams 3/4/2015

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