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Ipatiy [6.2K]
4 years ago
13

If Isometry preserves distance and angle measurement ,which of the following are examples of Isometry?

Mathematics
1 answer:
3241004551 [841]4 years ago
7 0

Answer:

C) Both reflection and translation

Step-by-step explanation:

An isometry of the plane is a linear transformation which preserves length. Isometrics includes rotation, translation , reflection ,glides and the identity map.

A geometry transformation is either rigid or non-rigid

The another name for a rigid transformation is 'isometry'.

The dilation is not isometry

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100.

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It costs $35 per hour to rent a boat at the lake. You also need to pay a $25 fee for safety equipment. You have $200. For how lo
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3 years ago
If the vertex of a parabola is at (2, 3) and the point (0, -1) is also on the parabola, find an equation for the parabola. Write
STALIN [3.7K]

Answer:

y=-1(x-2)^2+3

Step-by-step explanation:

W have been given that the vertex of a parabola is at (2, 3) and the point (0, -1) is also on the parabola. We are asked to find the equation of parabola in the form y=(x-h)^2+k.  

We know that vertex form of parabola in form y=a(x-h)^2+k, where (h,k) in vertex of parabola.  

Upon substituting coordinates of vertex, we will get:

y=a(x-2)^2+3

To find the value of a, we will substitute coordinates of point (0, -1) as:

-1=a(0-2)^2+3

-1=a(4)+3

-1=4a+3

-1-3=4a+3-3

-4=4a

\frac{-4}{4}=\frac{4a}{4}

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Therefore, our required equation would be y=-1(x-2)^2+3.

3 0
3 years ago
The length of a rectangle is 5ft longer than twice the width if the perimeter is 58 ft find the length and width of the rectangl
Travka [436]
----------------------------------
Define x :
----------------------------------
Let the width be x.
Width = x
Length = 2x + 5                // Length is 5ft longer than twice the width

----------------------------------
Formula for Perimeter :
----------------------------------
Perimeter = 2 (Length + Width)

----------------------------------
Find Width :
----------------------------------
58 = 2 ( 2x + 5 + x)         // Substitute Length and Width into formula
58 = 2 (3x + 5)                // Combine like terms
58 = 6x + 10                    // Apply distributive property
48 = 6x                            // Take away 10 from both sides
6x = 48                            // Switch sides. Make x the subject
x = 8                                // Divide by 6 on both sides

----------------------------------
Find Length and Width :
----------------------------------
Width = x = 8 ft
Length = 2x + 5 = 2(8) + 5 = 21 ft

--------------------------------------------------------------------
Answer: The length is 21 ft and the width is 8 ft.
--------------------------------------------------------------------

3 0
3 years ago
Read 2 more answers
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