Unit 1; Basic Geometric Terms
A piece of a line that has one endpoint and one ongoing end.
Ray
Angles that add to 90 degrees.
Complementary Angles
Two lines that never intersect and have the same slope.
Parallel Lines
All angles in an equilateral triangle are ______ .
60 degrees
<E
The measure of length between two endpoints.
Distance
What is the angle that is supplementary to 120 degrees?
60 degrees
Perpendicular Lines have ______________ slopes. (correct term)
Opposite Reciprocals
Given that a triangle is an isosceles triangle with a vertex angle of 30 degrees, find each base angle.
75 degrees
If Triangle ABC is congruent to Triangle XYZ, side CA is congruent to what side?
ZX
You take the average of two endpoints of a segment in order to find the point equidistant from each endpoint.
Midpoint
Name the angle relationship when two angles share a ray.
Adjacent
Write the slope of a line perpendicular and parallel to the slope -4.
Parallel: -4
Perpendicular: 1/4
A right triangle has side lengths x, 4.8, and 10.2. Given that 10.2 is the hypotenuse, solve for x.
x = 9
Property that says a side is congruent to itself.
Reflexive Property
3 points on the same line are ___________ .
Collinear
Name the different types of angles formed by two parallel lines cut by a transversal. (6)
Alternate Interior
Alternate Exterior
Corresponding
Same Side Interior
Same Side Exterior
Vertical
What is the slope of 5x - 2y = 10
m = 5/2
Name the 5 different triangle segments and one fact about each.
Median - cuts a side in half
Perpendicular Bisector - 90 degree angle and cuts a side in half
Angle Bisector - cuts an angle in half
Midsegment - parallel, 1/2 the size of the base, congruent segments on each side.
Altitude - 90 degree angle
List the 5 different triangle congruences.
SSS Congruence
SAS Congruence
ASA Congruence
AAS Congruence
HL Congruence
The intersection of two planes is a _____________ .
Line
< 1 and < 3 are Same Side Interior Angles.
<1 = 2x+1 and <2 = 3x + 9. Find x and the measure of <2.
x = 34
<2 = 111
Use the point (-3,8) and the equation y= -3x-6 to write the slope-intercept form of an equation perpendicular to the given equation and through the point.
y = 1/3x+9
Name the three triangle centers and give a real life situation for each.
Circumcenter- something to do with equidistant from points.
Incenter- something to do with equidistant from each side.
Angle Theorems you can use in Triangle Proofs. (3 answers)
Vertical Angles
Alternate Interior Angles
Corresponding Angles