3 years ago

How do you prove each of the following properties of a parallelogram?

Mathematics

1 answer:

Svet_ta [14]3 years ago

4 0

Step-by-step explanation:

the opposite angles are equal

i.e. i) < A = <C ii) < B = < D

the opposite sides are equal that is

i)AB =CD

ii) AD= BC

the diagonals bisect each other

i) AO=OC

ii)BO=OD

the adjacent angle are supplementary . that is

i)<D + < C=180 DEGREE

ii)<A+<D=180degree

iii)<B+<C=180 degree

You might be interested in

What is the 6th term of the geometric sequence where a1 = 1,024 and a4 = −16? 1 −0.25 −1 0.25

VLD [36.1K]

The n-th term is given by

$a_n=a_1\cdot r^{(n-1)}\qquad\text{where r is the common ratio}$

Then we can find the common ratio from the given terms.

$\dfrac{a_4}{a_1}=\dfrac{a_1\cdot r^{(4-1)}}{a_1}=r^3=\dfrac{-16}{1024}=\left(\dfrac{-1}{4}\right)^3\\\\r=\dfrac{-1}{4}\\\\a_6=1024\left(\dfrac{-1}{4}\right)^5=-1$

The appropriate choice is -1.

8 0

4 years ago

Read 2 more answers

The table shows the height of water in a pool as it is being filled. A table showing Height of Water in a Pool with two columns

telo118 [61]

Answer:
A) The height of the water increases 2 inches per minute.
Step-by-step explanation:
Slope is the rate of change of height
m = (16 - 12)/(4 - 2) = 4/2 = 2
2 inch per min
Positive slope implies increase

6 0

3 years ago

Please help, I'll mark brainlest I promise!!

Gekata [30.6K]

Answer:

the 1 one

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

From 3 hours to 30 minutes Percentage

omeli [17]