Here is an example of how to draw an isosceles trapezoid:
_______
/ \
/_________\
In this trapezoid, the two parallel sides (the top and bottom sides) are of equal length, and the two non-parallel sides (the left and right sides) are also of equal length. The angles between the top and left sides and between the top and right sides are equal, as are the angles between the bottom and left sides and between the bottom and right sides.
What is an isosceles trapezoid?An isosceles trapezoid is a type of trapezoid where the two non-parallel sides of the trapezoid are of equal length. This means that the trapezoid has a line of symmetry through its mid-point, which divides the trapezoid into two congruent triangles. The two parallel sides of an isosceles trapezoid are also referred to as bases, and the height of the trapezoid is the perpendicular distance between the two bases.
Because an isosceles trapezoid has two congruent triangles, the angles opposite these sides are also congruent. Therefore, an isosceles trapezoid has two pairs of congruent angles, with each pair containing one acute angle and one obtuse angle. The acute angles are located adjacent to the parallel sides, while the obtuse angles are located adjacent to the non-parallel sides.
Isosceles trapezoids have several interesting properties, including that the diagonals of an isosceles trapezoid are congruent, and that the diagonals bisect each other. Additionally, the length of each diagonal can be found using the Pythagorean theorem, and the area of an isosceles trapezoid can be determined using the formula:
Area = ((a + b) / 2) * h
Where "a" and "b" are the lengths of the two parallel sides (bases) and "h" is the height of the trapezoid.
PART B:
An isosceles trapezoid is a quadrilateral with two parallel sides (the bases) and two non-parallel sides of equal length. A parallelogram is also a quadrilateral with two pairs of parallel sides.
An isosceles trapezoid can be thought of as a special case of a parallelogram where one pair of opposite sides is shorter than the other pair. In fact, if you extend the non-parallel sides of an isosceles trapezoid until they intersect, you will get a parallelogram with the same base and height as the original trapezoid.
Conversely, if you take a parallelogram and draw a line segment parallel to one pair of opposite sides, you will get an isosceles trapezoid. This means that every isosceles trapezoid can be thought of as a parallelogram with a missing piece, and every parallelogram can be thought of as an isosceles trapezoid with extra pieces added on.
So, in summary, isosceles trapezoids and parallelograms are related in that isosceles trapezoids can be thought of as special cases of parallelograms, and parallelograms can be thought of as isosceles trapezoids with extra pieces added on.
PART C:
No, we cannot use the term "isosceles" to describe a rectangle because a rectangle, by definition, has four right angles and opposite sides that are parallel and congruent to each other. An isosceles trapezoid, on the other hand, has only one pair of parallel sides and two non-parallel sides that are congruent to each other.
The term "isosceles" is typically used to describe triangles or trapezoids where two sides are congruent to each other. In an isosceles triangle, two sides are equal in length, while in an isosceles trapezoid, two non-parallel sides are equal in length. However, in a rectangle, all four sides are equal in length, not just two.
Therefore, while we can describe a rectangle as having all sides congruent to each other, we cannot describe it as an isosceles rectangle because "isosceles" implies only two sides are congruent, which is not the case for a rectangle.
Learn more about Isosceles triangles/shapes:
https://brainly.com/question/29618252
#SPJ1
(CORRECT ANSWER GETS BRAINLIEST)
According to the line graph below, what is the total number of tickets sold?A.145 B.140 C.130 D.40
Answer:
B) 140
Step-by-step explanation:
August 8: 20 tickets
August 10: 20 tickets
August 11: 25 tickets
August 12: 40 tickets
August 13: 35 tickets
Added all together, it's 140 tickets sold. So, Option B is correct.
Hope this helps! :)
Garret invested $12,000 at an annual interest rate of 6%. How much money would Garret have had to invest at 10% so that the combined interest rate for both investments was 7% over the year?
Step-by-step explanation:
To determine how much money Garret would have had to invest at 10% in order to achieve a combined interest rate of 7% over the year, we can set up the following equation:
(12000 * 0.06) + (x * 0.10) = (12000 + x) * 0.07
Let's solve this equation to find the value of 'x', which represents the amount Garret would have had to invest at 10%:
720 + 0.10x = 0.07(12000 + x)
Simplifying the equation:
720 + 0.10x = 840 + 0.07x
0.10x - 0.07x = 840 - 720
0.03x = 120
x = 120 / 0.03
x = 4000
Therefore, Garret would have had to invest $4,000 at a 10% annual interest rate in order to achieve a combined interest rate of 7% over the year.
Five friends equally share 20 strawberries. How many strawberries does each friend get
Figure Q has undergone a dilation
Which scale factor was used for the dilation?
A. 1/2
B. 3
C. 1/3
D. 2
Answer: 2
Step-by-step explanation: the figure has increased by 2 by x and y
Dilation means changing the size of an object without changing its shape. The size of the object may be increased or decreased based on the scale factor.
An example of dilation math is a square of side 5 units can be dilated to a square of side 15 units, but the shape of the square remains the same.
Dimensions of Object Q are as follows:
(3 1/3,1)
(3 1/3,2)
(1,1)
(1,2)
Dimensions of Object Q’ are as follows:
(6 2/3,2)
(6 2/3,4)
(2,2)
(2,4)
Dimensions of Object Q to Object Q’ are as follows:
(3 1/3,1) ⇒ (6 2/3,2)
(3 1/3,2) ⇒ (6 2/3,4)
(1,1) ⇒ (2,2)
(1,2) ⇒ (2,4)
Let’s consider each vertex one by one.
Therefore, the scale factor in this dilation is 2.
So, the correct option is Option (D) 2
Learn more about Dilation here
Visit —
https://brainly.com/question/2596315
Hope my answer helps you✌️
Mark BRAINLIEST
Maxwell invested a total of $100,000. He invested his money in three different accounts. He invested $35,000 at 10% annual interest rate, $42,000 at 8% annual rate, and the remainder at 14% interest rate. How much interest did Maxwell receive in one year?
Step-by-step explanation:
Sure! Here's the step-by-step calculation:
1. Calculate the interest earned on the first investment:
$35,000 * 10% = $3,500
2. Calculate the interest earned on the second investment:
$42,000 * 8% = $3,360
3. Calculate the amount invested in the third account:
Total investment - (First investment + Second investment)
$100,000 - ($35,000 + $42,000) = $23,000
4. Calculate the interest earned on the third investment:
$23,000 * 14% = $3,220
5. Add up the interest earned from all three investments:
$3,500 + $3,360 + $3,220 = $10,080
Therefore, Maxwell received $10,080 in interest in one year.
Please answer the bottom question please (the cylinder question)! The first one has been answered already.
Answer:7,065
Step-by-step explanation: 50x75x3.14 then subtract 20x75x3.14
Find the value of k. Give your answer in degrees.
Answer is 25 degrees.
Answer:
k=12
Step-by-step explanation:
Top left angle is 84 degrees also, due to alternate interior angles cut by the transveral.
2 sides are congruent, leaving bottom left corner angle also 84 degrees.
Write an equation to solve for k:
84+84+k=180
simplify
168+k=180
subtract 168 from both sides
k=12
Hope this helps! :)