Points/lines/planes
What is a Plane?
It is a flat surface that extends without an end. It contains infinite points.
What is a congruent segments?
Segments with equal lengths
What is the definition of a postulate?
A postulate is a statement that is assumed true without proof.
what are transversals
A line that pass through two lines in the same plane at two distinct points
what is parallel?
What is coincident?
What is perpendicular?
We say that two lines are parallel to each other if they never intersect each other, regardless of how far they are extended on either side.
The lines that are on top of each other.
Two geometric objects are perpendicular if their intersection forms right angles at the point of intersection called a foot
What do planes, lines, and points all have in common?
They are not real things;they are undefined
What makes a congruent angle?
Two angles are said to be congruent if their corresponding sides and angles are of equal measure.
What is the definition of Angle Addition postulate?
The sum of two angle measures that are joined by a common ray will be equal to the measure of the angle they form.
Where can you find alternate interior angles?
They lie on the inner side of the parallel lines but on the opposite sides of the transversal
How can you tell if two angles are perpendicular to each other?
Lines that are perpendicular will always be at a 90 degree angle where they intersect.
What is the a Ray and it notation?
A Ray is an infinite set of points in only one direction with ONE endpoint. The symbol → written on top of the two letters is used to denote a ray.
True or False: Two angles are congruent if they have different measures?
False
If angles AOB and BOC are adjacent angles on a common vertex O sharing OB as the common arm, then we have>>?
∠AOB + ∠BOC = ∠AOC.
Where can you find consecutive interior angles?
Within the inner region of the two parallel lines.
True or false: If two parallel lines are corresponding angles, the angles that are on the same corner at each intersection, are equal?
True
What makes a line that is not a ray?
A line that has an endpoint, or one single point.
If NO=3x+4 and NP=10x-10, find the value of x.
4.5
A construction worker has a wooden plank that is 72 cm long. He wants to cut it so that one piece is five times as long as the other piece. What are the lengths of the 2 pieces.
x=12
If we draw a "Transversal" line which intersects with two parallel lines, the we>>>?
get a set of 8 angles formed
How can you tell is two equations are coincident?
Equations of two coincident lines are the same when reduced to the simplest form. For example, x + y = 4 and 2x + 2y = 8 are the equations of two coincident lines.
What makes a collinear line?
Two or more points are said to be collinear, if they lie on the same line.
Dave is building a shed for him and his brother in a form of kite. He divides the kite into 2 congruent triangles. The short sides are 5 feet and the long sides are 8 feet long. How many feet of wood planks does he need to build the edges of the garden?
26ft
CO=4x+6 and OH=2x-2. CH=8x. What are CO,OH, and CH?
CO=-10
OH=-10
CH=-32
What are same side exterior angles?
the pair of angles located outside the parallel lines (exterior)
Solve to find what type it is:
2x+6y=4
Perpendicular