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
Anna35 [415]
3 years ago
9

A student claimed that the transformation (x, y) arrowright (3x, y) is a rigid motion because the segment joining (6, 1) to (6,

3) is transformed to the segment joining (18, 1) to (18, 3), and both of these segments have the same length. Complete the explanation of the student's error.
The transformation is a stretch by a factor of , so it preserves the length of segments but not the length of segments. In order to be a rigid motion, the transformation must preserve lengths, so this transformation a rigid motion.
Mathematics
1 answer:
Mazyrski [523]3 years ago
5 0
<span>A rigid transformation is a transformation of the plane that preserves length.

Reflections, translations, rotations, and combinations of these three transformations are "rigid transformations".

The transformation (x, y) \rightarrow (3x, y) is a transformation where the x-value of the original figure is streched by a factor of 3.

</span>
<span>Therefore, the correct explanation is
The transformation is a stretch by a factor of 3, so it preserves the length of y segments but not the length of x segments. In order to be a rigid motion, the transformation must preserve lengths, so this transformation not a rigid motion.</span>
You might be interested in
In convex pentagon $ABCDE$, angles $A$, $B$ and $C$ are congruent and angles $D$ and $E$ are congruent. If the measure of angle
kipiarov [429]

In a convex pentagon, the measure of angle D is 132°.

<h3>What is convex pentagon?</h3>

If a planar polygon has all the line segments connecting any given pair of its points, it is said to be convex pentagon.

Properties of a Convex Polygon are-

  • Any polygon whose inner angles are all smaller than 180 degrees is said to be convex.
  • A concave polygon is one in which at least one of the angles is bigger than 180°.
  • A convex polygon's diagonals are located inside the polygon.
  • A polygon is considered convex if the line connecting every pair of its points lies entirely within it.

Calculation for the measure of angle D.

The sum of the interior angles  = 540°

Let A, B , C  =   D - 40

And let  E  = D

So we have

A + B + C + D + E  = 540

(D - 40) + (D - 40)  + (D - 40)  + D + D  =  540

5D  - 120  = 540

5D = 660

D = 660 / 5  

D =  132°

Therefore, the measure of angle D is 132°.

To know more about the convex pentagon, here

brainly.com/question/23602298

#SPJ4

4 0
1 year ago
What is the equation of the line that passes through the point (3, 0) and is perpendicular to the line 2x – y = 5?
Lisa [10]

Answer:

\large\boxed{y=-\dfrac{1}{2}x+\dfrac{3}{2}}

Step-by-step explanation:

\text{Let}\ k:y=_1x+b_1\ \text{and}\ l:y=m_2x+b_2.\\\\l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\============================\\\\\text{We have}\ 2x-y=5.\\\\\text{Convert to the slope-intercept form y = mx + b:}\\\\2x-y=5\qquad\text{subtract 2x from both sides}\\\\-y=-2x+5\qquad\text{change the signs}\\\\y=2x-5\to m_1=2\\\\\text{Therefore}\ m_2=-\dfrac{1}{2}.

\text{The equation of the searched line:}\ y=-\dfrac{1}{2}x+b.\\\\\text{The line passes through }(3,\ 0).\\\\\text{Put the coordinates of the point to the equation.}\ x=3,\ y=0:\\\\0=-\dfrac{1}{2}(3)+b\\\\0=-\dfrac{3}{2}+b\qquad\text{add}\ \dfrac{3}{2} \text{to both sides}\\\\b=\dfrac{3}{2}

8 0
3 years ago
Is 1+1=2<br> please explain why
Neporo4naja [7]
Yes because it is


:):):)
6 0
3 years ago
Read 2 more answers
The average score of 100 students taking a statistics final was 70 with a standard deviation of 7. Assuming a normal distributio
san4es73 [151]

Answer:

74.72

Step-by-step explanation:

Given

mean\left ( \mu \right )=70

Standard deviation \left ( \sigma \right )=7

For Top 25%

P\left ( Z

and Z value for 75 % is 0.6744

Thus score which separates the Top 25% of students is

=\mu +\sigma \cdot Z

=70+7\cdot 0.6744=74.7208

8 0
3 years ago
How do you turn 3/7 to a decimal?
Thepotemich [5.8K]
Divide them on a calculator
8 0
3 years ago
Read 2 more answers
Other questions:
  • F(x)=-x^(4)-9x^(3)-24x^(2)-16x what is the relative maxium and minimum?
    7·1 answer
  • What is the biggest number that will go into 28 and 4
    7·2 answers
  • QI.
    11·1 answer
  • You have a cone with a radius of 4ft and a height of 10ft. What is the height of the triangle formed by a perpendicular cross-se
    7·1 answer
  • What is the simplest form of 25 over 100?
    6·2 answers
  • If 16x = 1/64, find the value of x
    5·1 answer
  • How many different combinations of two can be made from 80 people?
    6·1 answer
  • The Ramos family shared 1/3 of gallons ice cream. There are four people in the family. What part of gallon did each person eat?
    9·1 answer
  • Angle marked in the diagram beside are measured in degree find x​
    8·2 answers
  • A major credit card company requires monthly payments equal to or greater than 8% of the total balance.A consumer has a credit c
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!