Which of these conditions might be true if polygons ABCD and KLMN are similar? A. The measures of corresponding angles of ABCD and KLMN are equal, but the lengths of corresponding sides of ABCD are half those of KLMN.B. The measures of corresponding angles of ABCD and KLMN are in the ratio 1 : 2, but the lengths of corresponding sides of ABCD and KLMN are not proportional.
C. The lengths of corresponding sides of ABCD and KLMN are equal, but the measures of corresponding angles of ABCD and KLMN are not equal.
D. The lengths of corresponding sides of ABCD and KLMN are proportional, but the measures of corresponding angles of ABCD and KLMN are not equal.
E.The measures of corresponding angles of ABCD and KLMN are not proportional, but the lengths of corresponding sides of ABCD and KLMN are proportional.

Answers

Answer 1

Answer:

The correct answer is:

A) The measures of corresponding angles of ABCD and KLMN are equal, but the lengths of corresponding sides of ABCD are half those of KLMN.

Explanation:

The definition of similar polygons is two polygons whose corresponding angles are congruent and whose corresponding sides are proportional.

If the lengths of the corresponding sides of ABCD are half of those of KLMN, this is the proportion 1:2.

Combined with the fact that the measures of the corresponding angles are congruent, this makes ABCD and KLMN similar polygons.

Answer 2

Answer: The question ask to choose among the following choices that state the truth about the condition if polygon ABCD and KLMN are similar and the answer would be letter A. The measures of corresponding angles of ABCD and KLMN are equal, but the lengths of corresponding sides of ABCD are half those of KLMN.

Related Questions

The function g(x) = 3x2 − 12x + 7 written in vertex form is g(x) = 3(x − 2)2 − 5. What is the vertex of g(x)?(−6, −5) (−2, −5) (2, −5) (6, −5)
Find the slope of each line that passes through each pair of points The points (3, 5) and (-2, 10) lie on a line. The points P (5,-7), Q (-2,-7) lie on a straight line
Solve for x 4x-4<8 and 9x+5>23
Use this image to answer the following question. If there are only enough strawberries to produce 2 gallons of strawberry ice cream, how many gallons of chocolate ice cream can the shop efficiently produce?
If the area of a rectangle is 16s2t and the length is 8st2, what would be the width of the rectangle, given that width is found by dividing area by length? Simplify the answer.

(8^3)^4 ⋅ 8^−9/ 8^3
Answer???

Answers

Answer: 1

Step-by-step explanation:

At a school carnival, the diameter of the mat of a trampoline is 12 feet and the diameter of its metal frame is 14 feet. What is the length, in feet, of the metal frame that surrounds the trampoline? Use 3.14 for π and round your answer to the nearest tenth.37.7 feet
44.0 feet
75.4 feet
87.9 feet

Answers

we don't need to know the trampoline diameter, it's a trick

the legnth of the metal fram is the circumference
C=pid
d=14
c=14pi
pi=3.14
c=14*3.14
c=43.96
round
C=44

answer is 44 feet

your answer is 44.0 feet

Christi is doing her math homework. To receive full credit, she must answer this question: What key features are necessary—and how are the features used—to create the sketch of a polynomial function? What is Christi's correct answer, so she receives full credit for the question? Explain in complete sentences.

Answers

Christi should know the "zeros" of the polynomial function for sketching the graph of it (where the graph intersects with the x an y-axises, if it does). Also, she needs to know the vertical and horizontal stretches/shrinks for that. Finally, she should know the basic function of the polynomial function such as x^2, 1/x and etc.

Answer:

We are given that, Christi needs to sketch a polynomial function given by $p(x)=a_(n)x^(n)+a_(n-1)x^(n-1)+.......a_(1)x+a_(0)$ .

The few key features necessary to plot a polynomial function are:

1. Zeroes of the polynomial.

In order to plot a polynomial function, we are required to know the x-intercepts i.e. the points at which the graph will cut the x-axis.

They can be obtained by finding the zeroes of a polynomial, which can be found by using,

Fundamental Theorem of Algebra states that 'an n-degree polynomial will have n-zeroes'.

2. Extremum points and the point of inflection.

Now, in order to know the the points where graph of the polynomial function becomes flat, we find the extrema points.

That is, extrema points are the points which makes the slope of the function zero, which can be obtained by using,

Derivative Test, in which we 'differentiate the function with respect to x and equate it to 0'.

3. End Behavior.

The polynomial function can be sketched easily when we the end behavior of the function, which can be viewed by using,

Leading Coefficient Test, which states the behavior of the polynomial function depending upon the degree and the leading co-efficient of the polynomial.

Write the equation of the line that passes through the point(0, 2) and has a slope of
0

Answers

Answer: y = 2

Step-by-step explanation:

When a line has a slope of 0, it is a horizontal line ( y = some value )

Since the line passes through the point (0, 2), then the line is y = 2

What is the name of the relationship between 4 and 8?A.
adjacent

B.
alternate interior

C.
alternate exterior

D.
corresponding

Answers

4 and 8 are corresponding angles.

The easiest way to tell is to look at the two groupings: 1, 2, 3, 4 and 5, 6, 7, 8. 4 and 8 are in the same position in both groupings (bottom right corner). This makes them corresponding.

Adjacent angles would have a common side and vertex. This would be like 4 and 2 or 1 and 3 or 5 and 7 or 8 and 6.

Alternate interior angles would be opposite angles inside the parallel lines. This would be like 4 and 5 or 3 and 6.

Alternate exterior angles would be opposite angles outside the parallel lines. This would be like 2 and 7 or 8 and 1.

No it's alternate exterior corresponding is the angles that occupy the same relative position at each intersection where a straight line crosses two others. If the two lines are parallel, the corresponding angles are equal.

Given the function f(x) = x3 − 18x2 + 107x − 210, what are the y-intercept and x-intercepts? Show the work steps to find these intercepts