Answer: b= -4
Step-by-step explanation:
Definition: A rigid transformation (also called an isometry) is a transformation of the plane that preserves length.
Four types of isometries:
1. Translation -- sliding a shape from one spot to another on the xy-plane;
2. Reflection -- creating a mirror image of a shape by reflecting a shape over a line, called the axis of reflection, on the xy-plane;
3. Rotation -- rotating a shape around a point, called the center of rotation, on the xy-plane;
4. Glide reflection -- a composite transformation which is a translation followed by a reflection in line parallel to the direction of translation.
Translations, reflections, and rotations don't change the shape or size of the shape being transformed, so we can see that these three types of transformations are isometric, the glide reflection doesn't change the shape or size of the shape being transformed, but changes orientation.
A composition or sequence of isometries occurs when two or more transformations are combined to form a new transformation. In a composition, one transformation produces an image upon which the other transformation is then performed (as for the glide reflection). The composition of isometries is always the isometry (preserves lengths).
Answer: correct choice is B.
Answer:
32cm
Step-by-step explanation:
Let the width be w. Now we know that the width is 16cm less than the length, this means that the length will thus have a total length of w + 16
Now, we know that the perimeter of a rectangle is 2(l + b)
This means 2(w + w + 16) = 160
4w + 32 = 160
4w = 128
w = 128/4 = 32cm
Answer:
True - The above statement is true
A circle is the collection of points in a plane that are the same distance from a given point in the plane.
Step-by-step explanation:
- <em><u>A circle is the set of points in a plane that are a given distance from a given point in the plane. The given point is the center of the circle, and the given distance is the radius.</u></em>
- In other words; A circle is the set of points in a plane that are equidistant from a given center point. Therefore; the locus of points at a fixed distance, d, from the point, P is a circle with the given point P as its center and d as its radius.
Answer:
In a 30 60 90 triangle, the longer leg = shorter leg * square root (3)
longer leg = 8 * square root (3) = 8 * 1.7320508076
= 13.8564064606
Step-by-step explanation:
