Chapter Test A For use after Chapter 8

Transcription

1 Chapter Test A For use after Chapter Find the sum of the measures of the interior angles of the indicated convex polgon. Decagon 2. Heptagon 1-gon 30-gon The sum of the measures of the interior angles of a convex polgon is given. Classif the polgon b the number of sides x x. Find the value of each variable in the parallelogram. 14 x x x For what value of x is the quadrilateral a parallelogram? 2x 1 5 x 1 6 4x 3x 6 15 x Chapter Assessment Book

2 Chapter Test A continued For use after Chapter Classif the special quadrilateral. Then find the values of x and x x 1 2 x 100 Find m B. 1 1 A B B D 60 C 111 C 2 A D Find the length of the midsegment of the trapezoid. 2 M 2 M N N 2 JKLM is a kite. Find m K. K 2 J 110 J 4 70 L M M 0 L Give the most specific name for the quadrilateral. K 2 ABCD has vertices A(29, 1), B(29, 4), C(23, 4), and D(23, 1), and EFGH has vertices E(2, 4), F(2, 6), G(5, 6), and H(5, 4). Tell whether the quadrilaterals are congruent, similar, or neither. Explain. Chapter Assessment Book 155

3 Chapter Test B For use after Chapter 155 (x 1 10) x 2x x 5 (x 2 7) x Find the value of x in the parallelogram. 2x 20 x (x 1 23) 2x x 1 9 6x 60 2x Three of the vertices of ~ABCD are given. Find the coordinates of point D. A(3, 6), B(6, 7), C(6, 3), D(x, ). A(23, 24), B(23, 2), C(21, 4), D(x, ) A(6, 0), B(0, 4), C(24, 2), D(x, ) A(21, 0), B(4, 21), C(2, 24), D(x, ) For an rectangle CMXZ, decide whether the statement is alwas, sometimes, or never true. CM > MX ZX > CM 1 Z > M ZM > CX 1 CM ZX CMZ > XZM x Chapter Assessment Book

4 Chapter Test B continued For use after Chapter x 1 11 x x 2 2x 21 Give the most specific name for the quadrilateral In the kite shown, m ADC and m DAB Find m DCB Without introducing an new variables, suppl the missing coordinates. 2 square FGHJ 30. parallelogram FGHJ Determine whether quadrilaterals ABCD and EFGH with the given vertices are congruent, similar, or neither. Explain our answer. 3 A(25, 1), B(25, 4), C(21, 3), D(21, 1); E(2, 26), F(2, 3), G(14, 0), H(14, 26) 32. A(24, 24), B(23, 21), C(21, 21), D(21, 23); E(0, 25), F(2, 22), G(3, 22), H(3, 23) 32. Chapter Assessment Book 157

5 Chapter Test C For use after Chapter Find the sum of the measures of the interior angles of the indicated convex polgon. Dodecagon gon 32-gon 36-gon Find the value of n for each regular n-gon described. Each interior angle of the regular n-gon has a measure of 162. Each exterior angle of the regular n-gon has a measure of x 3 (22x 1 1) (7x 1 ) 1 6x (19x 2 2) 13x 55. The measure of one interior angle of a parallelogram is 42 degrees more than twice the measure of another angle. Find the measure of each angle. The measure of one interior angle of a parallelogram is 30 degrees less than 9 times the measure of another angle. Find the measure of each angle. Three of the vertices of ~JKLM are given. Find the coordinates of point M. J(23, 2), K(4, 2), L(2, 4), M(x, ). J(24, 25), K(23, 22), L(5, 22), M(x, ) J(21, 3), K(2, 0), L(2, 210), M(x, ) J(1, 21), K(5, ), L(5, 7), M(x, ) The diagonals of rhombus STUV intersect at W. Given that m UVT 5 3, TU 5 20, and TW 5 17, find the indicated measure m UVS m TWU S T 1 m TUV UW 17 1 SU VT W 20 V 3 U 15 Chapter Assessment Book

6 Chapter Test C continued For use after Chapter Use the given vertices to graph ~DEFG. Classif ~DEFG. Then find its perimeter. 2 D(0, 2), E(5, 2), D(21, 4), E(2, 4), F(2, 22), G(23, 22) F(2, 23), G(21, 23) 2 See left. See left x 1 x 2 3x x x PQRS is a kite. Find m Q. P P 42 S 72.6 R R 2 Given the vertices D(25, 1), E(2, 2), F(4, 25), and G(25, 25) of a quadrilateral, give the most specific name for DEFG. Determine whether quadrilaterals ABCD and EFGH with the given vertices are congruent, similar, or neither. Explain our answer. 2. A(26, 5), B(22, 5), C(23, 1), D(25, 1); E(22, 22), F(2, 22), G(1, 2), H(21, 2) 2 A(4, 3), B(7, 2), C(4, 1), D(1, 2); E(4, 21), F(10, 23), G(4, 25), H(22, 23) S Q 2 Chapter Assessment Book 159

7 Chapter 7, continued Standardized Test C A 2. D B C A B A. B C B C. A B D B ft; 62 a. model A, 3104 ft 2 more b. model A, 537 ft 2 more c ft 2 SAT/ACT Chapter Test C 2. B E A A A B. D C E D. C D B Performance Assessment Complete answers should include: given two side lengths, the missing side length should be found using the Pthagorean Theorem; given two side lengths, the missing angle should be found b using a trigonometric ratio; given one side length and one angle measure, the missing side length should be found b using a trigonometric ratio; given one side length and one angle measure, the missing angle measure should be found b using the Triangle Sum Theorem 2. a. acute b. 4 ft c d. about 1 ft e. about 5 ft f. sin 45 5 Ï 2 2 ; cos 45 5 Ï 2 ; tan g. will var. Chapter Quiz x 5 7, 5 x 5 11, 5 3 h 5 65, k 5 10 Quiz Square; it is both a rhombus and a rectangle. rectangle; Rectangle Corollar rhombus; Theorem. Quiz 3 m B 5 100, m C 5 100, m D m A 5 9, m B 5 91, m D 5 9 m A 5 105, m B 5 105, m D 5 75 isosceles trapezoid kite rhombus neither; side lengths are neither congruent nor proportional. congruent; corresponding sides and angles are congruent Chapter Test A Octagon Dodecagon 16-gon. 24-gon x 5 10 x 5 76 x 5 16, 5 9. x 5 29, 5 64 x 5, 5 14 x 5 5, 5 2 x 5 1 x rhombus; x 5 0, rectangle; x 5 6, units 20 units rhombus parallelogram 2 neither; side lengths are neither congruent nor proportional Chapter Test B (3, 2). (21, 22) (2, 22) (23, 23) sometimes alwas 1 alwas alwas 1 never alwas kite rhombus 2 trapezoid G(0, a); H(a, a) 30. G(b 2 a, c) 3 similar; corresponding sides are proportional and corresponding angles are congruent 32. neither; side lengths are neither congruent nor proportional Chapter Test C n 5 20 n 5 72 x x , , 159 (25, 4). (4, 25) (21, 27) (1, 22) units 1 21 units 34 units 2 rhombus; 20 units rectangle; 20 units x x quadrilateral 2. congruent; corresponding sides and angles are congruent 2 similar; corresponding sides are proportional and corresponding angles are congruent Standardized Test A D 2. B A D A B C. D A C B. B C B B 224 ANSWERS Assessment Book A13