Chapter 8 Vocabulary - Discovering Geometry

Rectangle Area Conjecture

• The area of a rectangle is given by the formula A=bh, where A is the area, b is the length of the base, and h is the height of the rectangle.
• The area of a trapezoid is given by the formula A=1/2(b1+b2)h, where A is the area, b1 and b2 are the lengths of the two bases, and h is the height of the trapezoid.
• The property of equality that if the product of two or more factors is zero, at least one of the factors is zero.
• The height of each triangular lateral face of a pyramid.

Tags

CCSS.3.MD.C.7B

CCSS.4.MD.A.3

Parallelogram Area Conjecture

• The area of a parallelogram is given by the formula A=bh, where A is the area, b is the length of the base, and h is the height of the parallelogram.
• The area of a trapezoid is given by the formula A=1/2(b1+b2)h, where A is the area, b1 and b2 are the lengths of the two bases, and h is the height of the trapezoid.
• The region between two concentric circles of unequal radius.
• The region between a chord and an arc of the circle.

Tags

CCSS.6.G.A.1

Triangle Area Conjecture

• The height of each triangular lateral face of a pyramid.
• The area of a trapezoid is given by the formula A=1/2(b1+b2)h, where A is the area, b1 and b2 are the lengths of the two bases, and h is the height of the trapezoid.
• The length of an altitude
• The area of a triangle is given by the formula A=1/2bh, where A is the area, b is the length of the base, and h is the height of the triangle.

Tags

CCSS.6.G.A.1

Trapezoid Area Conjecture

• The area of a trapezoid is given by the formula A=1/2(b1+b2)h, where A is the area, b1 and b2 are the lengths of the two bases, and h is the height of the trapezoid.
• The area of a circle is given by the formula A=∏r^2, were A is the area and r is the radius of the circle.
• The area of a kite is given by the formula A=1/2d1d2, where d1 and d2 are the lengths of the diagonals.
• The region between a chord and an arc of the circle.

Tags

CCSS.6.G.A.1

Kite Area Conjecture

• The region between two radii and an arc of the circle.
• The property of equality that if the product of two or more factors is zero, at least one of the factors is zero.
• The area of a kite is given by the formula A=1/2d1d2, where d1 and d2 are the lengths of the diagonals.
• The length of an altitude

Tags

CCSS.6.G.A.1

Regular Polygon Area Conjecture

• The height of each triangular lateral face of a pyramid.
• The area of a regular polygon is given by the formula A=1/2asn, or A=1/2aP, were A is the area, P is the perimeter, a is the apothem, s is the length of each side, and n is the number of sides.
• A perpendicular segment from the center of the polygon's circumscribed circle to a side of the polygon. Also, the length of that segment.
• The area of a parallelogram is given by the formula A=bh, where A is the area, b is the length of the base, and h is the height of the parallelogram.

Tags

CCSS.6.G.A.1

Circle Area Conjecture

• The area of a circle is given by the formula A=∏r^2, were A is the area and r is the radius of the circle.
• The region between two radii and an arc of the circle.
• A perpendicular segment from a base to the parallel base or to the line containing the parallel base.
• The sum of the areas of all the surfaces of a solid.

Tags

CCSS.7.G.B.4

Area

• The measure of the size of the interior of a figure, expressed in square units.
• The sum of the areas of all the surfaces of a solid.
• The region between a chord and an arc of the circle.
• A perpendicular segment from the center of the polygon's circumscribed circle to a side of the polygon. Also, the length of that segment.

Tags

CCSS.3.MD.C.6

Base (of a polygon)

• The area of a circle is given by the formula A=∏r^2, were A is the area and r is the radius of the circle.
• The height of each triangular lateral face of a pyramid.
• The area of a triangle is given by the formula A=1/2bh, where A is the area, b is the length of the base, and h is the height of the triangle.
• A side of the polygon used for reference to determine an altitude or other feature.

Tags

CCSS.7.G.B.6

Altitude

• A perpendicular segment from the center of the polygon's circumscribed circle to a side of the polygon. Also, the length of that segment.
• The sum of the areas of all the surfaces of a solid.
• A perpendicular segment from a base to the parallel base or to the line containing the parallel base.
• The area of a triangle is given by the formula A=1/2bh, where A is the area, b is the length of the base, and h is the height of the triangle.

Tags

CCSS.6.G.A.1