1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
alex41 [277]
3 years ago
13

HELP ME PLEASE !

Mathematics
1 answer:
sukhopar [10]3 years ago
3 0

Let me start from the meaning of the term polygon.A polygon is a simple closed curve made up of three or more line segments.

Now coming to the meaning of term Rigid transformation ,It is either rotation,either Reflection,or Translation or combination of all these three.

The length of the sides of any polygon will not change i.e after rigid transformation shape and size of an object does not change.

So yes if two polygons are congruent ,they can always be mapped onto one through a series of rigid transformation i. Reflection,Rotation, or translation or combination of these.

Reflection takes place through a line.While Rotation means rotating a polygon through any angle, and translation means changing the coordinates of the polygon i.e certain integral value. You can Rotate the shape by any angle,and while translating you have to change the coordinate of each vertices by the same integral value.

In Reflection distance of the image from the line above or below is same.In rotation if you are rotating a polygon by an angle 0f 30° or 60° or 180°,the shape and size does not change but you are just rotating the shape. And in transformation you just take the shape or polygon by changing certain distance or when we consider two dimensional plane then by changing its coordinates without changing its shape and size.

You might be interested in
Find the dimensions of the open rectangular box of maximum volume that can be made from a sheet of cardboard 23 in. by 13 in. by
faltersainse [42]

Answer:

The dimension of the box is 17.66 in by 7.66 in by 2.67 in.

Therefore the volume of the box is 361.19 in^3.

Step-by-step explanation:

Given that the dimensions of a cardboard is 23 in by 13 in.

Let the side of the square be x in.

Then the length of the box= (23-2x) in

and the width of the box =(13-2x) in

and height = x in.

The volume of the box is = length ×width × height

                                         =[(23-2x)(13-2x)x] in^3

                                         =(299x-72x² +4x^3) in^3

∴V=299x-72x² +4x³

Differentiating with respect x

V'= 299-144x+12x²

Again differentiating with respect x

V''= -144+24x

To find the dimensions, we set V'=0

∴299-144x+12x²=0

Applying Sridharacharya formula that is the solution of a quadratic equation ax²+bx+c is x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}

Here a=12, b=-144 , c=299

\therefore x=\frac{-(-144)\pm\sqrt{(-144)^2-4.12.299}}{2.12}

\Rightarrow x= 9.33, 2.67

If  we take x=9.33 in, then the width of the box [13-(2×9.33)] will negative.

∴x = 2.67 in

If at x = 2.67, V''<0 , then the volume of the box will be maximum or V''>0 then volume of the box will be minimum.

V''|_{x=2.67}=-144+(24\times 2.67)=-79.92

Therefore  at x = 2.67, the volume of the box maximum.

The length of the box =[23-(2×2.67)] in

                                    =17.66 in

The width of the box =[13-(2×2.67)] in

                                  =7.66 in

The height of the box= 2.67 in

The dimension of the box is 17.66 in by 7.66 in by 2.67 in.

Therefore the volume of the box is =(17.66×7.66×2.67) in^3

                                                            =361.19 in^3

8 0
3 years ago
Which point is located at (0.25,-0.5)?
pantera1 [17]

Answer:

the picture hasn't loaded reload it

6 0
3 years ago
You play a game on your phone. For every correct move you make, you receive 50 points. For every second that it takes you to com
swat32
50*25= 1250
2mins 15seconds= 135 seconds
135*3= 405

1250-405 = 845

Your score is 845
8 0
3 years ago
Please help me with this question (:
fenix001 [56]

\frac{59  + x}{2}  = 78 \\ 59 + x = 156 \\ x = 97

Answer: VW=97

5 0
3 years ago
Perform the operation(s) and write the answer in simplest form. (12+13)÷154
wariber [46]

Answer:

0.162

Step-by-step explanation:

(12+13)/154

25/154

0.162

7 0
3 years ago
Other questions:
  • Write two fractions that are equivalent to each fraction.
    8·1 answer
  • Trigonometry help? Please answer 4.5,6 for me if u can! Tysm
    11·1 answer
  • Radioactive material disintegrates at a rate proportional to the amount currently present. If Q(t) is the amount present at time
    15·1 answer
  • 2. Sandy made a reflective sticker for her bicycle in the shape of a triangle. Two of the three side lengths were 3 cm and 4 cm.
    12·1 answer
  • Please help i am a 5th grader and this is my math so can you please help
    10·2 answers
  • Write the rule for the nth term of geometric sequence a1=6 and r=3
    13·1 answer
  • What is the point-slope form of a line with slope 3/2 that contains the point
    14·1 answer
  • 2 × 989 =<br><br> Show your work using the area model.
    12·1 answer
  • Amanda's parents invested $10,000 into a savings account for her college fund when she was born. The savings plan compounds inte
    5·1 answer
  • Im doing an i ready test and i am very lost and confuse .
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!