Answer:
The correct option is B.
Step-by-step explanation:
The given vertices are (-4,2),(1,2),(1,-3) and (-4,-3).
Plot these point on a coordinate plate. From the graph it is noticed that the given quadrilateral is a square.
Distance formula:
Use distance formula to find the side length.
Since both consecutive sides are equal therefore it is a square.
Area of a square is
Where, a is side length.
The side length of the square is 5. So, area of ABCD is
Therefore the area of quadrilateral is 25 units square. Option B is correct.
Answer:
the slope of both lines are the same.
Step-by-step explanation:
Given the following segment of the Quadrilateral EFGH on a coordinate Segment FG is on the line 3x − y = −2,
segment EH is on the 3x − y = −6.
To determine their relationship, we can find the slope of the lines
For line FG: 3x - y = -2
Rewrite in standard form y = mx+c
-y = -3x - 2
Multiply through by-1
y = 3x + 2
Compare
mx = 3x
m = 3
The slope of the line segment FG is 3
For line EH: 3x - y = -6
Rewrite in standard form y = mx+c
-y = -3x - 6
Multiply through by-1
y = 3x + 6
Compare
mx = 3x
m = 3
The slope of the line segment EH is 3
Hence the statement that proves their relationship is that the slope of both lines are the same.
Answer:
Step-by-step explanation:
Set this up according to the Triangle Proportionality Theorem:
Cross multiply to get
and simplify to get
Get everything on one side of the equals sign and solve for x:
and
By the Zero Product Property,
x = 0 or 3x - 52 = 0 so x = 17 1/3
The converse of a logicalstatement is a s tatement formed by reversing the parts of the statement.
For example, the logical statement "A implies B" has a converse of "B implies A"
The linear pairs theorem states that "<span>if two angles form a linear pair, then they are supplementary".</span>
The converse of the linear pairs theorem is therefore, "if two angles are suplementary, then they form a linear pair".
Answer:
5 1/10 meters
Step-by-step explanation:
18 4/5 can be changed to 18 8/10 so
18 8/10 - 13 7/10 = 5 1/10 meters
