1.1
What is the definition of intersection?
What is the definition of Congruent Segments? What is a Segment Bisector?
Congruent Segments - Line segments that have the same length.
Segment Bisector - point, line, ray, plane, segment, that intersects a segment at its midpoint.
Congruent Angles - Angles that have the same measurement/degrees.
What is the relationship of Complementary Angles?
Complementary Angles - Angles with the sum of 90o
What is the definition of Convex and Concave?
Convex - Polygon with no line that contains a side of the polygon and also contains a point in the interior of the polygon.
Concave - Polygon that has a line that contains a side of the polygon and also contains a point in the interior of the polygon.
Collinear points - Points on the same line.
Coplanar points - Points on the same plane.
What does it mean to be between two points?
Three points are collinear and one is inbetween the other two on the same line.
What are the use of rays and endpoints in an angle?
What is the relationship of Supplementary Angles?
Supplementary Angles - Angles with the sum of 180o
What is the definition of Equilateral, Equiangular and regular?
Equilateral - polygon with all congruent sides.
Equiangular - Polygon with all congruent interior angles
Regular - Polygon that is both Equilateral and Equiangular.
Draw an example of opposite rays. Use the points A, B and C. Write which ones are the opposite rays.
<A---------C--------B>
Ray CA and Ray CB are opposite rays.
What is the Segment Addition Postulate?
If B is between A and C, then AB + BC = AC.
If AB + BC =AC, then B is between A and C
What is the possible angle measurements for Acute and Obtuse angles?
Acute Angles - 0o < Angle measurement < 90o
Obtuse Angles - 90o < Angle measurement < 180o
What is the relationship of Adjacent Angles?
Adjacent Angles - two angles that share a common vertex and side but share no interior points.
Square (Sidelength s) - P = 4s, A = s2
Rectangle(Length l, Width w) - P = 2l +2w, A = lw
What is the agreed definition of both of the defined terms(what does it consist of, how many names can it have)?
Ray - Consists of one endpoint and extends the otherway to infinity. Can only be named 1 way. Ray XY is different from Ray YX.
What is the Midpoint Formula?
A(x1, y1) and B(x2,y2)
Midpoint = ((x1+x2)/2, (y1+y2)/2)
What is the possible angle measurements for Right and Straight angles?
Right Angles - Measurement of Angle = 90o
Straight Angles - Measurement of Angle = 180o
Vertical Angles - side form two pairs of opposite rays.
What are the formulas for the Perimeter(P), Area(A) and Circumference(C) of a triangle and circle?
Triangle(Side Lengths a, b and c, Base b, Height h) - P = a + b + c, A = 1/2bh
Circle(Diameter d, Radius r) - C = 2πr = πd, A = πr2
What is the agreed definition of all three undefined terms(what represents them, how many dimensions, how many points, how do you name them)?
Point - has no dimension. Represented by a dot. Uses dots name to name the point.
Line - has one dimension. Represented by a line with two arrowheads. Through any two points, there is exactly one line. Uses the points to name the line.
Plane - has two dimensions. Represented by a shape that looks like a floor or a wall. Through any three points not on the same line. Use the points to name the plane.
What is the Distance Formula? Use A and B as endpoints.
A(x1, y1) and B(x2,y2)
AB = sqrt ((x1 - x2)2 + (y1 - y2)2)
What is the Angle Addition Postulate?
If P is in the interior of Angle ABC, then the measure of Angle ABC is equal to the sum of the measures of Angle ABP and Angle PBC.
What is the relationship of a Linear Pair?
Linear Pair - Adjacent angles that have opposite rays as their noncommon sides. Angles are supplementary.
If a closed figure on a plane is formed by three or more line segments and each side intersects exactly two sides, one at each endpoint so that no two sides with a common endpoint are collinear it is a polygon.