carries the equilateral triangle onto itself. So, these are the correct rotation answer choices: rotation of 120° counterclockwise. rotation of 120° clockwise.
Also know, what transformation carries a Pentagon onto itself?
This is because the regular pentagon has rotation symmetry, and egin{align*}72^circend{align*} is the minimum number of degrees you can rotate the pentagon in order to carry it onto itself.
Beside above, which transformation will carry a regular octagon onto itself? 1 Expert Answer An Octagon has 8 sides. To rotate the Octagon onto itself, we have to rotate each of those sides to an adjacent side. That is (1/8)th of a full-circle turn. A circle has 360° and (1/8)360° = 45°.
In this manner, which transformation would carry a square onto itself?
1) a reflection over one of its diagonals a 90° rotation clockwise about its center 30 a 180° rotation about one of its vertices a reflection over the perpendicular bisector of one side Page 16 Scale factor= image original 1.
What transformation will map an image onto itself?
A figure in the plane has rotational symmetry if the figure can be mapped onto itself by a rotation between 0° and 360° about the center of the figure. The figure can be rotated from the origin and map onto itself.
18 Related Question Answers Found
What does it mean for a shape to carry onto itself?
A figure that can be carried onto itself by a rotation is said to have rotational symmetry. A diagonal of a polygon is any line segment that connects non-consecutive vertices of the polygon. For each of the following regular polygons, describe the rotations and reflections that carry it onto.
What are the rules for rotation?
There are some general rules for the rotation of objects using the most common degree measures (90 degrees, 180 degrees, and 270 degrees). The general rule for rotation of an object 90 degrees is (x, y) ——–> (-y, x).
What is a nine sided shape called?
Nonagon. In geometry, a nonagon (/ˈn?n?g?n/) or enneagon (/ˈ?ni?g?n/) is a nine-sided polygon or 9-gon. The name nonagon is a prefix hybrid formation, from Latin (nonus, “ninth” + gonon), used equivalently, attested already in the 16th century in French nonogone and in English from the 17th century.
What rotation carries a decagon onto itself?
A full rotation is 360°. One-tenth of a rotation is 36°, and each one-tenth of a rotation will map a regular decagon onto itself.
What is the minimum number of degrees that an equilateral triangle can be rotated before it carries onto itself?
In equilateral triangle all sides are equal and also each angle is of 60 degree. so minimum angle rotated should be 60 degree.
How many degrees will it take for a regular hexagon to be rotated onto itself?
There are 6 angles between neighbour vertices, they all are equal (because a hexagon is regular) and their sum is 360°. Thus each angle has a measure of 360°/6=60°. Each subsequent rotation by 60° also maps a hexagon onto itself.
Which figure has exactly four lines of reflection?
square
Which polygon has a minimum rotation of 45?
octagon
Is a star a decagon?
This star is an irregular decagon. Don’t forget, though, that a polygon is a closed shape; so even if a figure has ten sides, if it’s not closed, it’s not a decagon: This is not a decagon because it is not a closed shape.
Do all regular polygons have rotational symmetry?
For n-sided regular polygons, you can rotate them by 360/n degrees and they look like the original shape (try this for n=3: equilateral triangle, n=4: square, n=5: regular pentagon, etc.) So yes, all regular polygons have rotational symmetry.
How many lines of symmetry does a rectangle that is not a square have?
So the square has four lines of symmetry. The rectangle has only two, as it can be folded in half horizontally or vertically: students should be encouraged to try to fold the rectangle in half diagonally to see why this does not work. The trapezoid has only a vertical line of symmetry.
What angle of rotation will carry a Pentagon onto itself?
Reflecting and Rotating Quadrilaterals and Regular Polygons A pentagon has five lines of symmetry. For rotation symmetry, the order of any regular polygon is the number of sides. The angle of rotation would be 360 degrees divided by that order.
When a half turn maps a figure onto itself?
A rotation does not change the sense of figures in the plane. The center of rotation is the only invariant point (point that maps onto itself) under a rotation. A rotation of 180 degrees is called a half turn.
Which transformation will place the trapezoid onto itself?
rotation
What rotation will map a regular hexagon onto itself?
There are 6 angles between neighbour vertices, they all are equal (because a hexagon is regular) and their sum is 360°. Thus each angle has a measure of 360°/6=60°. Each subsequent rotation by 60° also maps a hexagon onto itself.
What is the equation for the line of reflection that maps the trapezoid onto itself?
From the given trapezoid, the line of symmetry of the trapezoid is x = -2. Therefore, the equation for the line of reflection that maps the trapezoid onto itself is x = -2.
Which regular polygon has a minimum?
Answer: Hence, a regular polygon that has a minimum rotation of 45 degrees to carry the polygon onto itself is: A. octagon.
Which figure Cannot be mapped onto itself by a rotation of less than 360 degrees?
Trapezoid: A quadrilateral with exactly one pair of parallel sides that can be mapped onto itself using a 360 degree rotation, therefore not displaying rotational symmetry. An isosceles trapezoid would display reflection symmetry if the line of symmetry contained the midpoints of the bases.