University:
Bradley University
Course:
MTH 119 | Calculus With Review B
Academic year:

2021
Views:

58

Pages:

1
Author:

Angelica Rose

Practice 6-4 Special Parallelograms For each parallelogram, (a) choose the best name, and then (b) find the measures of the numbered angles. 1. rectangle ∠1 = 37 ∠2 = 54 ∠3 = 106 ∠4 = 74 2. rectangle ∠1 = 37 ∠2 = 54 ∠3 = 106 ∠4 = 74 3. rhombus ∠1 = 68 ∠2 = 22 ∠3 = 68 ∠4 = 90 4. rhombus ∠1 = 51 ∠2 = 59 ∠3 = 51 ∠4 = 59 5. rhombus ∠1 = 30 ∠2 = 60 ∠3 = 30 ∠4 = 60 6. parallelogram ∠1 = 68 ∠2 = 112 ∠3 = 68 ∠4 = 90 The parallelograms below are not drawn to scale. Can the parallelogram have the conditions marked? If not, write impossible. Explain your answer. 7. no 8. yes, opposite angles are congruent 9. no HIJK is a rectangle. Find the value of x and the length of each diagonal. 10. HJ = x and IK = 2x - 7 x = 7 11. HJ = 3x + 5 and IK = 5x - 9 x = 7 12. HJ = 3x + 7 and IK = 6x - 11 x = 3 13. HJ = 19 + 2x and IK = 3x + 22 x = 3 For each rhombus, (a) find the measures of the numbered angles, and then (b) find the area. 14. ∠1 = 70 ∠2 = 20 ∠3 = 70 ∠4 = 20 15. ∠1 = 70 ∠2 = 20 ∠3 = 70 ∠4 = 20 16. ∠1 = 38 ∠2 = 90 ∠3 = 38 ∠4 = 90