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romanna [79]
3 years ago
14

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

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natima [27]

Answer:

y-coordinate = 0

Step-by-step explanation:

Consider the below diagram attached with this question.

Section formula:

If a point divides a line segment in m:n whose end points are (x_1,y_1) and (x_2,y_2), then the coordinates of that point are

(\frac{mx_2+nx_1}{m+n},\frac{my_2+ny_1}{m+n})

From the below graph it is clear that the coordinates of end points are J(1,-10) and K(7,2). A point divides the line JK is 5:1.

Using section formula, the coordinates of that point are

(\frac{(5)(7)+(1)(1)}{5+1},\frac{(5)(2)+(1)(-10)}{5+1})

(\frac{35+1}{6},\frac{10-10}{6})

(\frac{36}{6},\frac{0}{6})

(6,0)

Therefore, the y-coordinate of the point that divides the directed line segment from J to k into a ratio of 5:1 is 0.

8 0
3 years ago
Read 2 more answers
Dodd knit
Alecsey [184]

Answer:

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Step-by-step explanation:

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5 0
3 years ago
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Nina [5.8K]
Match each label to the correct location.
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3 years ago
Factor the GCF: 9x4y − 6x3y2 + 3x2y3.
Ganezh [65]
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7 0
3 years ago
9
saw5 [17]

The value of the expression, g/2 + 3 when x = 8 is: 7.

<h3>How to Evaluate an Expression?</h3>

Given the expression, g/2+3, to find it's value when g = 8, plug in the value of g into the expression and solve.

g/2 + 3

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Divide

4 + 3

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Learn more about evaluating an expression on:

brainly.com/question/4009675

#SPJ1

4 0
2 years ago
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