Can you help meh answer for brianliest
2 answers:
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Answer:
Given information: WY=ZX, A is the midpoint of WY and A is the midpoint of ZX.
To prove : WA =ZA
Proof:
A is the midpoint of WY, it means A divides WY in two equal parts.
So, WY is twice of WA.
.... (1)
A is the midpoint of ZX, it means A divides ZX in two equal parts.
So, ZX is twice of ZA.
... (2)
(Given)
Substitute the values from equation (1) and (2).
Divide both sides by 2.
Hence proved.
Given:
Two similar rectangles.
To find:
The area of the larger rectangle.
Solution:
Let x be the other side of the larger rectangle.
Corresponding sides of similar figures are always congruent.
The other side of larger rectangle is 2 cm.
We know that, area of rectangle is
So, area of the larger rectangle is
Therefore, the area of the larger rectangle is 8 sq. cm.
Answer:
The mid-point (p + q , q + p) of AB is the same distance from the x-axis and the y-axis
Step-by-step explanation:
*<em> Lets explain how to solve the problem</em>
- Any point will be equidistant from the x-axis and the y-axis must have
equal coordinates
- Ex: point (4 , 4) is the same distance from the x-axis and the y-axis
because the distance from the x-axis to the point is 4 (y-coordinate)
and the distance from the y-axis and the point is 4 (x-coordinate)
- If (x , y) is the mid-point of a segment its endpoints are
and
, then
and
* <em>Lets solve the problem</em>
∵ Point A has coordinates (p , q)
∵ Point B has coordinates (p + 2q , q + 2p)
- The mid-point of AB is (x , y)
∵
∴
- Take 2 as a common factor from the terms of the numerator
∴
- Divide up and down by 2
∴ x = p + q
∵
∴
- Take 2 as a common factor from the terms of the numerator
∴
- Divide up and down by 2
∴ y = q + p
∴ <em>The mid point of AB is (p + q , q + p)</em>
- p + q is the same with q + p
∵ The x-coordinate of the mid point of AB is p + q
∵ The y-coordinate of the mid point of AB is q + p
∵ p + q = q + p
∴ The coordinates of the mid-point of AB are equal
- According the explanation above
∴ The mid-point (p + q , q + p) of AB is the same distance from the
x-axis and the y-axis