Answer:
A. Division property of inequality
Step-by-step explanation:,
If a, b and c are any real numbers,
By the division property of inequality,
a = b ⇒ ,
By the inverse property of multiplication,
where, 1 is multiplication identity.
By the subtraction property of inequality,
a = b ⇒ a - c = b - c
By transitive property of inequality,
a = b and b = c ⇒ a = c,
Thus, it is clear that,
Division property of inequality is used in step 4.
Option A is correct.
Incomplete question: <em>Options</em>
(a) Each triangular part and each rectangular part represents 1/2 the area of one square.
(b) Each triangular part has an area that is greater than the area of each rectangular part.
(c) Each triangular part and each rectangular part represents 1/4 the area of one square
(d) Each rectangular part has an area that is greater than the area of each triangular part.
<em>See attachment for squares</em>
Answer:
(a) Each triangular part and each rectangular part represents 1/2 the area of one square.
Step-by-step explanation:
Given
See attachment
Required
Which statement is true
Before the division, the area of both squares is:
After the division:
The area of the triangle is:
Substitute Area for l * w
This equals half the area of the square
The area of the rectangle is:
The length of the rectangle is now half the length of the original square.
So, we have:
Substitute Area for l * w
<em>From the values of A1 and A2, we can conclude that (a) is true</em>
Here 'a' corresponds to 0.
Now there are two possibilities for 'r' & 't'
Case 1.
They are on the same side to the right of 'a'
In that case 'r' corresponds to 5 & 't' corresponds to 7.
The midpoint of 'r' and 't' shall be
Case 2.
Both are on the left of 'a'.
In that case 'r' corresponds to -5 & 't' corresponds to -7
The midpoint shall be
Case 3.
'r' in on the right of 'a' and 't' is on the left of 'a'
So 'r' corresponds to 5 and 't' corresponds to -7
The midpoint shall be
Case 4.
'r' is on the left of 'a' & 't' is on the right of 'a'.
'r' corresponds to -5 & 't' corresponds to 7
The midpoint shall be
The possible coordinates of the midpoints of rt are 6, -6, 1, -1.