The correct alternative is 4.
You are watching: Which transformation will map an isosceles trapezoid onto itself?
The no parallel political parties of an isosceles trapezoid are congruent.
The picture of one isosceles trapezoid is same as the preimage the isosceles trapezoid if
1. Reflection throughout a line joining the midpoints the parallel sides.
2. Rotation through 360° about its center.
3. Rotation by 360° around origin.
If we rotate the trapezoid by 180° about its center, climate the parallel sides will interchanged.
If we reflect the trapezoid throughout a diagonal, then the resultant figure will be a parallelogram.
If we reflect throughout a line joining the midpoints that the nonparallel sides, climate the parallel sides will certainly interchanged.
After rotation through 360° around the center, we always get an top top figure.
Therefore alternative 4 is correct.
ASHA 777 <7>6 months ago
starrkingschool.net: The starrkingschool.net is (d) rotation by 360° about its centre.
Step-by-step explanation: As shown in the fastened figure, abdominal muscle and CD are parallel political parties of an isosceles trapezoid ABCD v centre "O" and advertisement and BC space equal and also non-parallel sides.
(i) If ABCD is rotated by 180° about its centre, then the new figure will certainly not coincide with the initial one. So, this choice is not correct.
(ii) If ABCD is reflected throughout a diagonal, then likewise the new figure will be reverse of the initial one and so this option is additionally incorrect.
(iii) If ABCD is reflected throughout a heat joining the mid-points of the non-parallel sides, then likewise the two numbers will be opposite of each other. This choice will additionally not work.
(iv) If we rotate ABCD through 360° around centre "O", the both the numbers will coincide v each other.
Thus, the correct option is (d) rotation by 360° about its centre.
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