Use the coordinates to find the length of each side of the rectangle. Then find the perimeter. D(1,2), E(1,7), F(4,7), G(4,2)
Answers
The perimeter of the rectangle is 16 units.
What is a rectangle?
A rectangle is a 2-D shape with length and width.
The length and width are different.
If the length and width are not different then it is a square.
The area of a rectangle is given as:
Area = Length x width
We have,
First, let's plot the points on a coordinate plane to visualize the rectangle:
7| F(4,7) E(1,7)
6|
5|
4| o G(4,2)
3| o D(1,2)
2|
1|
|__________
1 2 3 4
Now,
From the coordinates, we can see that the length of side DE is 7 - 2 = 5, and the length of side DG is 4 - 1 = 3.
Since this is a rectangle, we know that opposite sides are congruent, so EF and FG must also have lengths 5 and 3, respectively.
The perimeter of a rectangle is simply the sum of the lengths of all four sides. So, the perimeter of rectangle DEFG is:
perimeter = DE + EF + FG + DG
perimeter = 5 + 5 + 3 + 3
perimeter = 16
Therefore,
The perimeter of the rectangle is 16 units.
Learn more about rectangles here:
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Related Questions
Can someone help with these??!??
What is the unit fraction for 12/84
0.135 written as a fraction is _____.5/3727/10027/200
300,000 to nearest 100,000?
A: LINEAR
B: QUADRATIC
C: EXPONENTIAL
What is the y-intercept of the function?
A: 6
B: 12
C: 15
D: 18
What is the rate of change of the function?
A: ADD 1.5
B: ADD 6
C: MULTIPLY 1.5
D: MULTIPLY 6
***ANSWER ALL 3!!!!!!!*** LIMITED TIME!!!!!!
Answers
Where,
A: initial population
b: growth rate
x: time in hours
y: population after x hours
We must find the values of A and b, for this we use the following data:
After 1 hour, the population is 18:
After 2 hours, the population is 27:
We have a system of two equations with two unknowns
Dividing equations we have:
Substituting b in equation 1 we have:
Clearing A we have:
So, the function is:
Answer:
A function that best describes the relationship between the time, in hours, and the population of the bacterium is:
C: EXPONENTIAL
the y-intercept of the function:
B: 12
the rate of change of the function:
C: MULTIPLY 1.5
Answer:
1. exponential 2. 12 3. multiply 1.5
Step-by-step explanation:
Answers
Answer:
6
Step-by-step explanation:
i did it on IReady
Answers
a/sinA=b/sinB=c/SinC
where a,b,c are sides of a triangle and A,B,C are angles respectively.
a/sin45.1=c/sin59.1
(we can find angle C by sum of angles of a triangle is 180.)
a=sin(45.1) x 10.2/sin (59.1)
a=0.708 x 10.2/0.85
a=8.496
a=8.5 units
now u can find b and c sides.
Answers
another triangle, follow these steps:
Reflect ADEF across the y-axis to form AD'E'F'.
Translate AD'E'F' 8 units up to form AD"E"F".
Is ADEF the same size and shape as AD"E"F"? Show your
.
.
x
work.
Answers
Answer:
To determine if triangles ADEF and AD"E"F" are the same size and shape, we need to compare their corresponding sides and angles. Let's go through the steps and analyze each transformation.
1. Reflecting ADEF across the y-axis:
When we reflect a point across the y-axis, the x-coordinate changes sign while the y-coordinate remains the same. Applying this reflection to each vertex of triangle ADEF, we get D'(-4, 0), E'(0, 0), and F'(0, -8).
2. Translating AD'E'F' 8 units up:
To translate a point, we add or subtract a constant value to its coordinates. Shifting each vertex of triangle AD'E'F' 8 units up gives us D"( -4, 8), E"(0, 8), and F"(0, 0).
Now let's compare the corresponding sides and angles of triangles ADEF and AD"E"F".
Corresponding Sides:
Side DE in triangle ADEF corresponds to side D'E' in triangle AD'E'F'. Since both sides lie on the x-axis, they have the same length.
Side EF in triangle ADEF corresponds to side E'F' in triangle AD'E'F'. Again, both sides lie on the y-axis, so they have the same length.
Side FD in triangle ADEF corresponds to side F'D' in triangle AD'E'F'. These sides are vertical lines with equal lengths.
Corresponding Angles:
Angle D in triangle ADEF corresponds to angle D' in triangle AD'E'F'. Both angles are right angles (90 degrees).
Angle E in triangle ADEF corresponds to angle E' in triangle AD'E'F'. These angles are also right angles (90 degrees).
Angle F in triangle ADEF corresponds to angle F' in triangle AD'E'F'. Once again, these angles are right angles (90 degrees).
From the above analysis, we can conclude that triangles ADEF and AD"E"F" are indeed the same size and shape. They have corresponding sides of equal length and corresponding angles of equal measure.
In conclusion, triangles ADEF and AD"E"F" are congruent.
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Answers
Answer:
Side-Side-Side [SSS]
Step-by-step explanation:
You know this since the little bars sticking outside of the triangle show that those 2 lines are congruent. Then you know of one line being the same for both, so you then know all of the sides. And since all of the side lengths are equal, this triangle is congruent by Side-Side-Side.