NAME DATE PERIOD. (2x 20) (3x 10) Find the measures of an interior angle and an exterior angle for each regular polygon.

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1 Copright Glencoe/McGraw-Hill, a division of he McGraw-Hill Companies, Inc. NAME AE PERIO 6-1 kills Practice Angles of Polgons Find the sum of the measures of the interior angles of each conve polgon. 1. nonagon 2. heptagon 3. decagon he measure of an interior angle of a regular polgon is given. Find the number of sides in each polgon Find the measure of each interior angle using the given information. 7. A B 8. (2 15) L M (2 20) (3 10) (2 15) C 2 P (2 10) N 9. quadrilateral UW with, 10. heagon EFGHI with U W, m 2 16, E G H, F I, m U 14 m 7, m F 4 E I F W U H G Find the measures of an interior angle and an eterior angle for each regular polgon. 11. quadrilateral 12. pentagon 13. dodecagon Find the measures of an interior angle and an eterior angle given the number of sides of each regular polgon. Round to the nearest tenth if necessar Chapter 6 8 Glencoe Geometr

2 6-2 NAME AE PERIO kills Practice Parallelograms Complete each statement about EFG. Justif our answer. 1. G G F H E 2. E 3. G H 4. EF 5. EFG is supplementar to. 6. GE ALGEBRA Use WXYZ to find each measure or value. 7. m XYZ 8. m WZY 9. m WXY 10. a Z W A a 70 Y X Lesson 6-2 Copright Glencoe/McGraw-Hill, a division of he McGraw-Hill Companies, Inc. COORINAE GEOMERY Find the coordinates of the intersection of the diagonals of parallelogram HJKL given each set of vertices. 11. H(1, 1), J(2, 3), K(6, 3), L(5, 1) 12. H( 1, 4), J(3, 3), K(3, 2), L( 1, 1) 13. PROOF Write a paragraph proof of the theorem Consecutive angles in a parallelogram are supplementar. Chapter 6 15 Glencoe Geometr

3 Copright Glencoe/McGraw-Hill, a division of he McGraw-Hill Companies, Inc. NAME AE PERIO 6-3 kills Practice ests for Parallelograms etermine whether each quadrilateral is a parallelogram. Justif our answer COORINAE GEOMERY etermine whether a figure with the given vertices is a parallelogram. Use the method indicated. 5. P(0, 0), Q(3, 4), (7, 4), Y(4, 0); lope Formula 6. ( 2, 1), R(1, 3), (2, 0), Z( 1, 2); istance and lope Formula 7. W(2, 5), R(3, 3), Y( 2, 3), N( 3, 1); Midpoint Formula ALGEBRA Find and so that each quadrilateral is a parallelogram (4 35) (2 5) (3 10) ( 15) Chapter 6 22 Glencoe Geometr

4 NAME AE PERIO 6-4 kills Practice Rectangles ALGEBRA ABC is a rectangle. A E B 1. If AC 2 13 and B 4 1, find. 2. If AC 3 and B 3 19, find AC. C 3. If AE 3 3 and EC 5 15, find AC. 4. If E 6 7 and AE 4 9, find B. 5. If m AC 2 4 and m BAC 3 1, find. 6. If m BC 7 1 and m AB 9 7, find m BC. 7. If m AB 2 7 and m CB 4 5, find. 8. If m BAC 2 3 and m CA 15, find m BAC. Copright Glencoe/McGraw-Hill, a division of he McGraw-Hill Companies, Inc. PR is a rectangle. Find each measure if m m m m m m m m m 9 COORINAE GEOMERY etermine whether UXY is a rectangle given each set of vertices. Justif our answer. 17. ( 3, 2), U( 4, 2), X(2, 4), Y(3, 0) 18. ( 6, 3), U(0, 6), X(2, 2), Y( 4, 1) P R Lesson (4, 1), U(3, 1), X( 3, 2), Y( 2, 4) Chapter 6 29 Glencoe Geometr

5 Copright Glencoe/McGraw-Hill, a division of he McGraw-Hill Companies, Inc. 6-5 NAME AE PERIO kills Practice Rhombi and quares Use rhombus KLM with AM 4, AK 5 3, and L 10. A K 1. Find. 2. Find AL. M L 3. Find m KAL. 4. Find M. Use rhombus RV with R 5 2, 3 6, and NV 6. N 5. Find. 6. Find V. R V 7. Find m NV. 8. Find m V. 9. Find m R. 10. Find m RV. COORINAE GEOMERY Given each set of vertices, determine whether QR is a rhombus, a rectangle, or a square. List all that appl. Eplain our reasoning. 11. Q(3, 5), R(3, 1), ( 1, 1), ( 1, 5) 12. Q( 5, 12), R(5, 12), ( 1, 4), ( 11, 4) 13. Q( 6, 1), R(4, 6), (2, 5), ( 8, 10) 14. Q(2, 4), R( 6, 8), ( 10, 2), ( 2, 6) Chapter 6 38 Glencoe Geometr

6 6-6 NAME AE PERIO kills Practice rapezoids COORINAE GEOMERY ABC is a quadrilateral with vertices A( 4, 3), B(3, 3), C(6, 4), ( 7, 4). 1. Verif that ABC is a trapezoid. 2. etermine whether ABC is an isosceles trapezoid. Eplain. Lesson 6-6 COORINAE GEOMERY EFGH is a quadrilateral with vertices E(1, 3), F(5, 0), G(8, 5), H( 4, 4). 3. Verif that EFGH is a trapezoid. 4. etermine whether EFGH is an isosceles trapezoid. Eplain. COORINAE GEOMERY LMNP is a quadrilateral with vertices L( 1, 3), M( 4, 1), N( 6, 3), P(0, 7). 5. Verif that LMNP is a trapezoid. Copright Glencoe/McGraw-Hill, a division of he McGraw-Hill Companies, Inc. 6. etermine whether LMNP is an isosceles trapezoid. Eplain. ALGEBRA Find the missing measure(s) for the given trapezoid. 7. For trapezoid HJKL, and are 8. For trapezoid WXYZ, P and Q are midpoints of the legs. Find HJ. midpoints of the legs. Find WX. L 9. For trapezoid EFG, and U are 10. For isosceles trapezoid QR, find the midpoints of the legs. Find U, m E, length of the median, m Q, and m. and m G. H J E U 85 G 14 F K Z P W Q R X Q Y Chapter 6 45 Glencoe Geometr

7 Copright Glencoe/McGraw-Hill, a division of he McGraw-Hill Companies, Inc. 6-7 NAME AE PERIO kills Practice Coordinate Proof and Quadrilaterals Position and label each quadrilateral on the coordinate plane. 1. rectangle with length 2a units and 2. isosceles trapezoid with height a units, height a units bases c b units and b c units Name the missing coordinates for each quadrilateral. 3. rectangle 4. rectangle (0, a) C(, ) G(, ) F(5b, 2b) O A(0, 0) U(c, 0) O (0, 0) E(5b, 0) 5. parallelogram 6. isosceles trapezoid P(b, c) R(, ) Y(, ) W(, c) O (0, 0) (a, ) O (a, 0) (b, 0) Position and label the figure on the coordinate plane. hen write a coordinate proof for the following. 7. he segments joining the midpoints of the sides of a rhombus form a rectangle. Chapter 6 52 Glencoe Geometr