Which transformations carry a triangle onto itself?

Which transformations carry a triangle onto itself?

This regular polygon has 3 sides, so it is an equilateral triangle. carries the equilateral triangle onto itself. So, these are the correct rotation answer choices: rotation of 120° counterclockwise.

What degrees of rotation will carry an equilateral triangle onto itself?

This means that in a rotation of 360° the same image appears 3 times. 360°3=120° which is the size of each exterior angle. The triangle rotates through the exterior angle so that the next vertex can be in the same position as the previous one. A pentagon will rotate through 3605=72° for the figure to map onto itself.

What reflection will carry figure A onto itself?

reflection symmetry
A shape has reflection symmetry if there exists a line of reflection that carries the shape onto itself. This line of reflection is called a line of symmetry. In other words, if you can reflect a shape across a line and the shape looks like it never moved, it has reflection symmetry.

What transformation carries a rectangle onto itself?

rotation
With regard to the rectangle, the student describes the center of rotation as the point where the diagonals intersect. The student indicates that 180° and 360° clockwise and counterclockwise rotations about this point will carry the rectangle onto itself.

What does carrying a shape onto itself mean?

Rotation Symmetry
A shape has symmetry if it can be indistinguishable from its transformed image. A shape has rotation symmetry if there exists a rotation less than \begin{align*}360^\circ\end{align*} that carries the shape onto itself. A rectangle is an example of a shape with rotation symmetry. …

What are the rotation rules?

Rotations About The Origin

• 90 Degree Rotation. When rotating a point 90 degrees counterclockwise about the origin our point A(x,y) becomes A'(-y,x).
• 180 Degree Rotation. When rotating a point 180 degrees counterclockwise about the origin our point A(x,y) becomes A'(-x,-y).
• 270 Degree Rotation.

What is the rule for a 90 degree clockwise rotation?

Rule : When we rotate a figure of 90 degrees clockwise, each point of the given figure has to be changed from (x, y) to (y, -x) and graph the rotated figure. Let us look at some examples to understand how 90 degree clockwise rotation can be done on a figure.

What are the angles of rotation for a 20 Gon?

The 20-sided polygon, AKA “icosagon”, has 18 degree rotational symmetry about the center.

Which transformation maps the large triangle onto the small triangle?

Dilation transformation maps the large triangle onto the small triangle. Step-by-step explanation: Dilation states that it is a transformation that changes the size of a figure. It can also become larger or smaller, but the shape of the figure does not change.

What happens when you rotate an equilateral triangle?

360° 3 = 120° which is the size of each exterior angle. The triangle rotates through the exterior angle so that the next vertex can be in the same position as the previous one. A pentagon will rotate through 360 5 = 72° for the figure to map onto itself.

How does Alicia rotate an equilateral triangle?

Alicia draws an equilateral triangle and then rotates it about its center. Through which angle measures can she rotate the equilateral triangle to map it onto itself? | Socratic Alicia draws an equilateral triangle and then rotates it about its center.

What kind of symmetry does an equilateral triangle have?

An equilateral triangle has 3 lines of symmetry, but of more importance in this case, it has rotational symmetry of order 3. This means that in a rotation of 360° the same image appears 3 times.

Which is angle of rotation will carry the polygon onto itself?

1 A regular pentagon is shown in the diagram below. If the pentagon is rotated clockwise around its center, the minimum number of degrees it must be rotated to carry the pentagon onto itself is 1) 54º 2) 72º 3) 108º 4) 360º 2 The regular polygon below is rotated about its center. Which angle of rotation will carry the figure onto itself?