Question

Which of these statements is true?
(Select all that apply.)
1. Any translation can be replaced by two reflections.
2. Any translation can be replaced by two rotations.
3. Any rotation can be replaced by a reflection.
4. Any reflection can be replaced by a rotation followed by a translation.

Answer 1

Answer:

(1) true

(2)false

(3)true

(4) false

Answer 2

The statements that are true include:

• "Any transaction can be replaced by two reflections"
• "Any rotation can be replaced by a reflection."

Any transaction that can be replaced by two reflections is found to be true because

• This is attained by using the refection first to transform the vertex of the previous image to the vertex of another image
• The second vertex can be used to change another vertex of the image
• Therefore this statement is true

Any rotation that can be replaced by a reflection is found to be true because.

• The composition of two reflections can be used to express rotation
• Translation is known as the composition of reflection in parallel lines
• Rotation is that happens in the lines that intersect each other
• The intersection points of lines is found to be the center of the point