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Math 6 Geometry

Mr. Holzshu's SOL 6.9, 6.10, 6.12, 6.13

Central angle an angle whose vertex is the center of a circle that equals a sum of 360 degrees.
Chord a segment that has both endpoints on a circle
Circle the set of points in a plane that are all the same distance from a given point called the center
Circle graph a graph of data where the circle represents the whole
Compass a geometric tool used to draw circles or arcs
Complementary angles 2 angles that are complimentary if the sum of their measures is 90 degrees
Congruent angles angles that have all the same length
congruent polygons 2 polygons that are congruent if they have exactly the same shape and size
Congruent sides have the same length
decagon a polygon with ten congruent sides.
Diameter a segment that passes through the center of a circle and has both endpoints
Equilateral triangle a triangle with three congruent sides and three congruent angles.
hexagon a polygon with 6 sides
intersecting lines 2 or more lines that cross each other
irregular polygon a plygon with sides that are not all congruent and/or angles that are not all congruent
isosceles triangle a triangle with at least two congruent sides
Line a series of points that extends in 2 opposite directions without end
Midpoint the point that divides the segment into two segments of equal length
obtuse angle an angle with a measure greater that 90 degrees and less than
obtuse triangle a triangle with an obtuse angle
octagon a polygon with 8 sides
1 inch is about 2.5 centimeters.
1 foot is about 30 centimeters.
1 meter is a little longer than a yard, or about 40 inches.
1 mile is slightly farther than 1.5 kilometers.
1 kilometer is slightly farther than half a mile.
1 ounce is about 28 grams.
1 nickel has the mass of about 5 grams.
1 kilogram is a little more than 2 pounds.
1 quart is a little less than 1 liter.
1 liter is a little more than 1 quart.
Water freezes at 0°C and 32°F.
Water boils at 100°C and 212°F.
Normal body temperature is about 37°C and 98°F.
Room temperature is about 20°C and 70°F.
Mass is the amount of matter in an object.
Weight is the pull of gravity on the mass of an object.
The mass of an object remains the same regardless of its location.
The weight of an object changes dependent on the gravitational pull at its location.
The perimeter of a polygon is the measure of the distance around the polygon.
Circumference is the distance around or perimeter of a circle.
The area of a closed curve is the number of nonoverlapping square units required to fill the region enclosed by the curve.
The perimeter of a square whose side measures "s" is 4 times s (P = 4s)
A square's area with side "s" is side times side (A = s2).
The perimeter of a rectangle is the sum of twice the length and twice the width [P = 2l + 2w
A rectangle's area is the product of the length and the width (A = lw).
The value of pi is the ratio of the circumference of a circle to its diameter.
The ratio of the circumference to the diameter of a circle is a constant value, pi which can be approximated by measuring various sizes of circles.
The fractional approximation of pi is 22/7.
The decimal approximation of pi is 3.14.
The circumference of a circle is the length of the outside of the circle.
The area of a circle is the amount of square units needed to cover the entire circle.
The surface area of a rectangular prism is the sum of the areas of all six faces ( ).
The volume of a rectangular prism is computed by multiplying the area of the base, B, (length x width) by the height of the prism.
Congruent figures have exactly the same size and the same shape.
Noncongruent figures may have the same shape but not the same size.
The corresponding angles of congruent polygons have the same measure, and the corresponding sides of congruent polygons have the same measure.
The determination of the congruence or noncongruence of two figures can be accomplished by placing one figure on top of the other or by comparing the measurements of all sides and angles.
A quadrilateral is a closed planar (two-dimensional) figure with four sides that are line segments.
A parallelogram is a quadrilateral whose opposite sides are parallel and opposite angles are congruent.
A rectangle is a parallelogram with four right angles.
Rectangles have special characteristics (such as diagonals are bisectors) that are true for any rectangle.
To bisect means to divide into two equal parts.
A square is a rectangle with four congruent sides or a rhombus with four right angles.
A rhombus is a parallelogram with four congruent sides.
A trapezoid is a quadrilateral with exactly one pair of parallel sides. The parallel sides are called bases, and the nonparallel sides are called legs.
If the legs of a trapezoid have the same length, then the trapezoid is an isosceles trapezoid.
A kite is a quadrilateral with two pairs of adjacent congruent sides. One pair of opposite angles is congruent.
Quadrilaterals can be classified by the number of parallel sides:
a parallelogram, rectangle, rhombus, and square each have two pairs of parallel sides;
a trapezoid has only one pair of parallel sides; other quadrilaterals have no parallel sides.
a rectangle has four 90° angles;
a trapezoid may have zero or two 90° angles.
a rhombus has four congruent sides; a square, which is a rhombus with four right angles, also has four congruent sides; a parallelogram and a rectangle each have two pairs of congruent sides.
The sum of the measures of the angles of a quadrilateral is 360°.
Created by: erichholzshu
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