MAFS.912.G-GPE.2.7: Use coordinates to compute perimeters of polygons and areas of triangles and rectangles, e.g., using the distance formula.
MAFS.912.G–C.2.5: Derive using similarity the fact that the length of the arc intercepted by an
angle is proportional to the radius and define the radian measure of the angle as the constant of proportionality; derive the formula for the area of a sector.
|
- use the distance formula to compute the perimeter and area given the coordinates of vertices of a polygon like triangle, square, rectangle, kite, rhombus, trapezoid, etc.
- decompose more complex figures whose vertices are given using coordinates into familiar shapes that are easier to work with.
- describe and illustrate how a rectangle, parallelogram, and trapezoid are mapped onto themselves using transformations.
- calculate the number of lines of reflection symmetry and the degree of rotational symmetry of any regular polygon.
- define inscribed polygons.
- construct an equilateral triangle, a square, a hexagon inscribed in a circle.
- explain the steps to constructing and equilateral triangle, a square, and a regular hexagon inscribed in a circle.w a specific transformation when given a geometric figure and a rotation, reflection, or translation.
- predict and verify the sequence of transformations (a composition) that will map a figure onto another.
|
