7.5 Reg Geometry Homework

Question 13: BCDF is a square with FD=55.FD=55. Find GD. Round to the nearest tenth, if necessary.

38.9

Question 12: BCDF is a square with FD=55.FD=55. Find BC. Round to the nearest tenth, if necessary.

55

Question 3: Quadrilateral ABCD is a rhombus. If m∠CBD=58°,m∠CBD=58°, find m∠ACB.m∠ACB.

ACB = 32

Question 2: Quadrilateral ABCD is a rhombus. If AB=26AB=26 and BD=20,BD=20, find AE.

AE = 24

Question 1: Quadrilateral ABCD is a rhombus. If m∠ABD=60°,m∠ABD=60°, find m∠BDC.m∠BDC.

BDC = 60

Question 6: PROOF Complete the two-column proof. The statements are provided on the left. Drag the reasons to the corresponding statements. Given: WZ∥XY,WZ∥XY, WX∥ZY,WX∥ZY, WX≅XYWX≅XY Prove: WXYZ is a rhombus.

Given Both pairs of opposite sides are congruent If one pair of consecutive sides of a parallelogram are congruent, the the parallelogram is a rhombus.

Question 8: REGULARITY Determine whether quadrilateral ABCD is a rhombus, a rectangle, a square, or none. Select all that apply. Explain. A(0,2), B(2,4), C(4,2), D(2,0)A0,2, B2,4, C4,2, D2,0

Rectangle, rhombus, square the four sides are congruent, and consecutive sides are perpendicular

Question 5: PQRS is a square. If PR=42,PR=42, find TR.

TR = 21

Question 16: Classify the quadrilateral. Select the most specific classification.

rectangle

Question 11: Determine whether quadrilateral ABCD is a rhombus, a rectangle, a square, or none. Select all that apply. Explain. A(1, 3), B(7, −3), C(1, −9), D(−5, −3)A(1, 3), B(7, -3), C(1, -9), D(-5, -3)

rectangle, rhombus, square all sides are congruent, and the diagonals are perpendicular and congruent

Question 14: Classify the quadrilateral. Select the most specific classification.

rhombus

Question 10: Determine whether quadrilateral ABCD is a rhombus, a rectangle, a square,or none. Select all that apply. Explain. A(−6, −1), B(4, −6), C(2, 5), D(−8, 10)

rhombus all sides are congruent, and the diagonals are perpendicular, but not congruent

Question 7: PRECISION Jorge is using this box garden to plant his vegetables this year. He knows that the opposite sides of the garden are parallel, so what else does he need to know to ensure that the box garden is a square? Explain.

rhombus are congruent

Question 9: Determine whether quadrilateral ABCD is a rhombus, a rectangle, a square, or none. Select all that apply. Explain. A(−2, −1), B(0, 2), C(2, −1), D(0, −4)A(-2, -1), B(0, 2), C(2, -1), D(0, -4)

rhombus the four sides are congruent, and consecutive sides are not perpendicular

Question 15: Classify the quadrilateral. Select the most specific classification.

square

Question 4: Quadrilateral ABCD is a rhombus. If m∠CDB=6y°m∠CDB=6y° and m∠ACB=(2y+10)°,m∠ACB=(2y+10)°, find the value of y.

y = 10