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
Eddi Din [679]
2 years ago
7

Which transformation will map an isosceles trapezoid onto itself? rotation by 180° about its center, reflection across a diagona

l, reflection across a line joining the midpoints of the nonparallel sides,rotation by 360° about its center

Mathematics
2 answers:
alukav5142 [94]2 years ago
6 0

Answer:

The correct option is 4.

Step-by-step explanation:

The non parallel sides of an isosceles trapezoid are congruent.

The image of an isosceles trapezoid is same as the preimage of isosceles trapezoid if

1. Reflection across a line joining the midpoints of parallel sides.

2. Rotation by 360° about its center.

3. Rotation by 360° about origin.

If we rotate the trapezoid by 180° about its center, then the parallel sides will interchanged.

If we reflect the trapezoid across a diagonal, then the resultant figure will be a parallelogram.

If we reflect across a line joining the midpoints of the nonparallel sides, then the parallel sides will interchanged.

After rotation by 360° about the center, we always get an onto figure.

Therefore option 4 is correct.

ASHA 777 [7]2 years ago
4 0

Answer: The answer is (d) rotation by 360° about its centre.


Step-by-step explanation:  As shown in the attached figure, AB and CD are parallel sides of an isosceles trapezoid ABCD with centre 'O' and AD and BC are equal and non-parallel sides.

(i) If ABCD is rotated by 180° about its centre, then the new figure will not coincide with the original one. So, this option is not correct.

(ii) If ABCD is reflected across a diagonal, then also the new figure will be reverse of the original one and so this option is also incorrect.

(iii) If ABCD is reflected across a line joining the mid-points of the non-parallel sides, then also the two figures will be opposite of each other. This option will also not work.

(iv) If we rotate ABCD through 360° about centre 'O', the both the figures will coincide with each other.

Thus, the correct option is (d) rotation by 360° about its centre.


You might be interested in
Write 50/6 as a mixed number. Give your answer in its simplest form.
DochEvi [55]

Answer:

8 1/3

Step-by-step explanation:

Step 1: Simplify

50/6 = 8 2/6

Step 2: Simplify fraction

2/6 = 1/3

Step 3: Add it up

8 1/3

5 0
2 years ago
Read 2 more answers
I beg someone to answer ive posted this 3 times and im still not sure how to do it.....
Anni [7]

Answer:

D) 3 X 10⁷

Step-by-step explanation:

<u>Estimated days:</u>

  • Jan 2000 to June 2001 = 1.5 years = 365*1.5 days ≈ 548 days

  • 1 day = 24 hours = 24*60 minutes = 24*60*60 seconds =
  • 86400 seconds

  • 548 days = 548 * 86400 seconds =
  • 47347200 ≈ 4.7*10⁷

Best estimate is D) 3 X 10⁷

8 0
3 years ago
Please Helpppppp!!!!!
aivan3 [116]

Answer:

AC^2=AD^2+CD^2= 3^2+3= 12

AC= 2\sqrt{3}

Step-by-step explanation:

7 0
3 years ago
Trigonometry help please show work. Due soon please help
nexus9112 [7]

Answer:

Step-by-step explanation:

5 0
2 years ago
In ABC, m∠A=10 and m∠B=145. Select the triangles that are similar to ABC.
Tanya [424]

Answer:

A

Step-by-step explanation:

A triangle has 180 degrees.

So, 10 + 145 + x = 180

x = 25

This means that the angles in the triangle are:

10, 145, and 25

Using this information, only A has the same values so it is the answer

3 0
3 years ago
Other questions:
  • Rewrite 20/7 as a mixed number
    7·1 answer
  • What does ECONOMY MEAN PLZ TELL ME
    14·2 answers
  • Draw a triangle that is both a right triangle and an isosceles triangle. You can use either pencil and paper, or a draw program.
    12·1 answer
  • 4% of what days is 56 days
    8·1 answer
  • If f(x)= 6x and g(x)= 4x+1, find (f o g)(x)<br><br>a. 24x^2+6x<br>b. 24x+1<br>c. 24x+6<br>d. 10x+1
    14·1 answer
  • Jacqueline practiced drums four times last week for sessions of 40 minutes, 35 minutes, 45 minutes, and 30 minutes. Cassie pract
    9·1 answer
  • Expand: In (4a)^3<br> - 3 In 4 + In a<br> - 3 In 4 - 3 In a<br> - 3 In 4 + 3 In a
    14·1 answer
  • 2 units left and 3 units down
    5·2 answers
  • Which of these is a correct statement about the function graphed below?
    7·1 answer
  • 6. You roll a 6 sided die and flip a coin. What is the
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!