Question

Pls pls pretty pls do any of these whatever you know pls

Answer 1

5. BD = 8 cm

6. See explanation below.

7. x = 42; y = 96; z = 64

Explanation:

5.

DC = 5 cm

The diagonals of a rhombus bisect each other, so since AC = 6 cm, OC = 3 cm.

The diagonals of a rhombus are perpendicular to each other, so triangle DOC is a right triangle with right angle DOC.

a^2 + b^2 = c^2

(DO)^2 + (OC)^2 = (DC)^2

(DO)^2 + (3 cm)^2 = (5 cm)^2

(DO)^2 + 9 cm^2 = 25 cm^2

(DO)^2 = 16 cm^2

DO = 4 cm

Since BD = 2DO,

BD = 2(4 cm) = 8 cm

Answer: BD = 8 cm

6.

There are different definitions of trapezium. In the U.S., trapezium is a quadrilateral, none of whose sides are parallel. According to the U.S. definition of trapezium, then, no parallelogram is a trapezium.

According to the UK definition of trapezium, a trapezium is a quadrilateral with at least 2 parallel sides. That means the other two sides may or may not be parallel. According to this definition, then a parallelogram is always a trapezium.

8.

Triangle ADB is isosceles with AD = AB. That meakes their opposite angles congruent.

x = m<ADB = 42

42 + 42 + y = 180

y = 96

In a kite, there are two pairs of congruent sides. DC = BC, so z = m<BDC

z + z + 52 = 180

2z = 128

z = 64

Answer 2

5) 8

6) True, a trapezium has at least 1 parallel side, and a parallelogram has 2.

7) I can't see where angle z is..., but x=42 and y= 96

Explanation:

A rhombus has all sides of equal length, thus, if DC is 5, then all the other sides are also 5.

We see that AC is 6, and OC will be 3, or 6/2.

The pythagorean theorem shows that OD is 4, and BD is 8.

42+42=84

180-84=96