What is a point in geometry?
A point is a specific location in space with no size or dimension.
How is the distance between two points calculated?
Sqrt((x2-x1)2+(y2-y1)2)
What is the midpoint of a line segment?
The midpoint is the point that divides the segment into two equal parts.
Define an angle.
An angle is formed by two rays with a common endpoint called the vertex.
What is a line segment?
A line segment is a part of a line that has two endpoints.
How is the distance between two points calculated?
The distance formula derives from the Pythagorean theorem.
How do you find the midpoint of a line segment in a coordinate plane?
Use the midpoint formula: (x1+x2/2),(y1+y2/2)
What are complementary angles?
Complementary angles are two angles whose measures add up to 90 degrees
What is a plane?
A plane is a flat two-dimensional surface that extends infinitely in all directions.
Calculate the distance between points A(2, 3) and B(5, 7).
5
Find the midpoint of the segment with endpoints (1, 2) and (3, 4).
(2,3)
Describe supplementary angles.
Supplementary angles are two angles whose measures add up to 180 degrees
Name a the plane that has points A, B, C, and F
Plane ABC, Plane ACB Plane BCA, Plane BAC, Plane CBA, Plane CAB, Plane ABF, Plane ACF, ...
Explain how to find the distance of a line segment on a coordinate plane.
Use the distance formula between the endpoints of the segment.
What is the significance of the midpoint in geometry?
The midpoint is important for bisecting segments and finding center points.
What is an acute angle?
An acute angle is an angle that measures less than 90 degrees
Describe how to determine if three points are collinear.
Three points are collinear if they lie on the same straight line.
Find the measure of if L is between V and N and VL=5x, LN=7x + 1 and VN = 61
x=5
Calculate the midpoint of line AB, where A is (3.45, 5) and B is (-4.5, -6)
(-0.525, -0.5) or (-21/40, -1/2)
Explain the concept of vertical angles.
Vertical angles are the angles opposite each other when two lines intersect; they are always equal.