Question

There is exactly one reflection and no rotation that sends the convex quadrilateral ABCD onto itself. What shape(s) could quadrilateral ABCD be? Explain.

Blank #1: Shape

Blank #2: Explanation

Blank # 1 __________
Blank # 2 __________

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By what angle x, where x < 180°, should an equilateral triangle be rotated clockwise about its center so that it carries onto itself?

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Which statement is true about parallelograms?

A. A parallelogram reflected across one of its diagonals is carried onto itself if its adjacent sides are congruent.

B. A parallelogram reflected across a line segment joining the midpoints of its opposite sides is carried onto itself.

C. A parallelogram reflected across a line segment joining the midpoints of its opposite sides is carried onto itself if its opposite sides are congruent.

D. A parallelogram reflected across one of its diagonals is always carried onto itself.

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What is the smallest value of an angle, x, by which a regular pentagon should be rotated about its center so that it carries onto itself?

A. 60°

B. 72°

C. 90°

D. 360°

Answer 1

@AP

Answer 2

@jhonyy9

Answer 3

try drawn it may be more easy understandably

Answer 4

Example of ABC

Answer 5

two vertices of ABCD

Answer 6

do you understand the text of your exercise ?

Answer 7

well not very much

Answer 8

but i believe ABCD is a regular trapezoid (which is called an isosceles trapezoid). The second case might not even possible but in the third case ABCD is a kite.

Answer 9

@jhonyy9