Survey
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
Problem of Apollonius wikipedia , lookup
System of polynomial equations wikipedia , lookup
Rational trigonometry wikipedia , lookup
Integer triangle wikipedia , lookup
Trigonometric functions wikipedia , lookup
BKL singularity wikipedia , lookup
Pythagorean theorem wikipedia , lookup
Euclidean geometry wikipedia , lookup
12. SOLUTION: Opposite angles of a parallelogram are congruent. So, 6-2 Parallelograms Use to find each measure. 13. HOME DECOR The slats on Venetian blinds are designed to remain parallel in order to direct the path of light coming in a widow. In and 9. . Find each measure. SOLUTION: Consecutive angles in a parallelogram are supplementary. So, Substitute. 10. QR a. JH b. GH c. d. SOLUTION: Opposite sides of a parallelogram are congruent. So, SOLUTION: a. Opposite sides of a parallelogram are congruent. So, b. Opposite sides of a parallelogram are congruent. 11. QP SOLUTION: Opposite sides of a parallelogram are congruent. So, So, 12. SOLUTION: Opposite angles of a parallelogram are congruent. So, 13. HOME DECOR The slats on Venetian blinds are designed to remain parallel in order to direct the path of light coming in a widow. In and Find each measure. a. JH b. GH c. Manual - Powered by Cognero eSolutions d. SOLUTION: . c. Opposite angles of a parallelogram are congruent. So, d. Consecutive angles in a parallelogram are supplementary. So, Substitute. 14. CCSS MODELING Wesley is a member of the kennel club in his area. His club uses accordion fencing like the section shown at the right to block out areas at dog shows. a. Identify two pairs of congruent segments. b. Identify two pairs of supplementary angles. SOLUTION: Page 1 a. Opposite sides of a parallelogram are congruent. supplementary. So, Substitute. 6-2 Parallelograms Solve for b. 14. CCSS MODELING Wesley is a member of the kennel club in his area. His club uses accordion fencing like the section shown at the right to block out areas at dog shows. 16. SOLUTION: Consecutive angles in a parallelogram are supplementary. So, Solve for x. a. Identify two pairs of congruent segments. b. Identify two pairs of supplementary angles. SOLUTION: a. Opposite sides of a parallelogram are congruent. Opposite angles of a parallelogram are congruent. So, b. Consecutive angles of a parallelogram are supplementary. Sample answer: ALGEBRA Find the value of each variable in each parallelogram. 17. SOLUTION: Diagonals of a parallelogram bisect each other. So, y – 7 = 10 and x + 6 = 11. Solve for y. y – 7 = 10 y = 17 Solve for x. x + 6 = 11 x =5 15. SOLUTION: Opposite sides of a parallelogram are congruent. and . So, Solve for a. Solve for b. 18. SOLUTION: Opposite sides of a parallelogram are congruent. . So, and Solve for a. 16. eSolutions Manual - Powered by Cognero SOLUTION: Consecutive angles in a parallelogram are supplementary. Solve for b. Page 2 Opposite angles of a parallelogram are congruent. So, . Substitute. y – 7 = 10 y = 17 Solve for x. x + 6 = 11 6-2 Parallelograms x =5 20. 18. SOLUTION: Opposite sides of a parallelogram are congruent. . So, and Solve for a. SOLUTION: Diagonals of a parallelogram bisect each other. So, . and Solve for z. Solve for y. Solve for b. COORDINATE GEOMETRY Find the coordinates of the intersection of the diagonals of with the given vertices. 21. W(–1, 7), X(8, 7), Y(6, –2), Z(–3, –2) 19. SOLUTION: Consecutive angles in a parallelogram are supplementary. So, Solve for x. SOLUTION: Since the diagonals of a parallelogram bisect each other, their intersection point is the midpoint of or the midpoint of Find the midpoint of . Use the Midpoint Formula . Substitute. The coordinates of the intersection of the diagonals of parallelogram WXYZ are (2.5, 2.5). Substitute in Opposite angles of a parallelogram are congruent. So, . Substitute. eSolutions Manual - Powered by Cognero Page 3