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erma4kov [3.2K]
1 year ago
8

If angle A is congruent to itself by the Reflexive Property, which transformation could be used to prove ΔABC ~ ΔADE by AA simil

arity postulate?
Translate triangle ABC so that point B lies on point E to confirm ∠B ≅ ∠E.
Translate triangle ABC so that point C lies on point E to confirm ∠C ≅ ∠E.
Dilate ΔABC from point A by the ratio segment AD over segment AB to confirm segment AD ~ segment AB.
Dilate ΔABC from point A by the ratio segment AE over segment AC to confirm segment AE ~ segment AC.

Mathematics
1 answer:
Ainat [17]1 year ago
4 0

<em>Rigid transformation</em> is a <u>method</u> that requires <em>changing</em> either the <em>orientation,</em> <u>size</u>, or <em>dimensions</em> of a given <em>object.</em> Thus the <u>transformation</u> that could be used is: <u>Translate </u>triangle ABC so that point C lies on point E to confirm ∠C ≅ ∠E.

<em>Rigid transformation</em> is a <u>method</u> that requires <em>changing</em> either the <u>orientation</u>,<em> size</em>, or <em>dimensions</em> of a given <em>object.</em> this process thus produces a required image of the given object. Types of <em>rigid transformation</em> include <u>reflection</u>, <em>dilation</em>, <u>translation</u>, and <em>rotation</em>.

  • <u>Rotation</u> is a method that can be used to <u>change</u> the <em>orientation</em> of a given <em>object.</em>
  • <u>Translation</u> requires <em>moving</em> every point on the given object in the <u>same</u> direction and distance.
  • <u>Dilation</u> involves <u>resizing </u>the object.
  • <u>Reflection</u> is a method used to flip the given object about a <u>reference</u> point or line.

Thus <em>considering</em> the given question, the <u>transformation</u> that would be used is: <em>Translate</em> triangle ABC so that point C lies on point E to confirm ∠C ≅ ∠E.

For more clarifications on rigid transformation, visit: brainly.com/question/2222755

#SPJ 1

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OLga [1]

The last choice is the right answer. Curves do not have a constant rate of change.

5 0
3 years ago
If a_1=2a 1 ​ =2 and a_n=(a_{n-1})^2-2a n ​ =(a n−1 ​ ) 2 −2 then find the value of a_4a 4 ​ .
Aleks04 [339]

9514 1404 393

Answer:

  2

Step-by-step explanation:

We assume your recursive formula is ...

  a_1=2\\a_n=a_{n-1}^2-2

Using this to find a4, we get ...

  a_2=a_1^2-2=2^2-2=2\\a_3=a_2^2-2=2^2-2=2\\a_4=a_3^2-2=2^2-2=2\\\\\boxed{a_4=2}

6 0
3 years ago
A rectangle is drawn so that the width is 3 feet shorter than the length. The area of the rectangle is 70 square feet. Find the
Vedmedyk [2.9K]

Answer:

The length of the rectangle (l) = 10 cm

The width of the rectangle (w) = 7 cm

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Let 'x' be the length of the rectangle

Given that the width is 3 feet shorter than the length

The width of the rectangle = x -3

Area of the rectangle = length × width

<u><em>Step(ii):-</em></u>

Area of the rectangle = length × width

                                  = x ( x-3)

Given that the area of the rectangle = 70 square feet

                       x ( x-3) = 70

              ⇒   x² - 3x - 70 =0

              ⇒  x² - 10 x + 7 x - 70 =0

             ⇒  x (x -10) +7( x-10) =0

            ⇒ ( x+7) ( x-10) = 0

           ⇒  x =-7 and x=10

<u><em>Final answer:</em></u>-

we choose x=10

The length of the rectangle (l) = 10 cm

The width of the rectangle (w) = 7 cm

8 0
2 years ago
Look at this set of 5 numbers: 21471 By how much would the mode decrease if the number 1 were added to the set?
Fofino [41]

Answer:

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Step-by-step explanation:

The mode is the number of most repeated data in the set.

Given set 2, 1, 4, 7, 1 has mode 1 (repeated twice).

If we add 1 to the set the mode will remain 1 as it will repeat three times, so the mode won't change.

There is no change in mode, so the mode decrease is zero.

6 0
2 years ago
The binomial (a + 5) is a factor of a2 + 7a + 10. What is the other factor?
malfutka [58]
(a+5)(a+2) = a^2 + 7a + 10
look at what adds to make 7 and multiplies to make 10
as you know one is 5, the other is 2 and 5 + 2 = 7 so both positive
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7 0
3 years ago
Read 2 more answers
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