Name that Rule: Triangle Congruence
Two triangles where we know all three sides are congruent.
Side-Side-Side (SSS)
Any geometric shape is congruent to itself
Reflexive Property
What are Supplementary angles?
Angles that sum to 180 Degrees.
Determine the slope A(3,5) B(8,3)
m=-2/5
Two triangles where we know two angles and the included side are congruent
Angle-Side-Angle (ASA)
A point that cuts a line into two congruent parts
If ∠A and ∠B are complements, and m∠A=76° , what is m∠B?
What is 14 Degrees.
Determine the midpoint of the two given points A(1,4) B(6,-5).
(3.5,-0.5)
Two triangles where we know two sides and the included angle are congruent.
Side-Angle-Side (SAS)
A line that cuts an angle into two congruent angles
Angle Bisector
If ∠A and ∠B are supplements, and m∠B=132°m∠A=132° , what is m∠B?
48 Degrees.
Determine the equation of the line with the given point: A(-3,4) B(0,-5)
y=-3x-5
Two triangles where we know the hypotenuse and one leg are congruent
Hypotenuse-Leg (HL)
Two angles that are formed when two lines intersect
Vertical Angles
What angle relationships create congruent Angles?
(Give at least 3 examples)
Vertical Angles, Alternate Interior Angles, Alternat Exterior Angles, Corresponding Angles.
What is the strength of slope intercept form?
Easier to graph a line
Two triangles where we know two angles and the non-included side are congruent.
Angle-Angle-Side (AAS)
When two angles are on the inner side of the shape and on alternate sides of the center line (transversal)
Alternate Interior Angles
Angles ∠1 and ∠2 are vertical angles.
m∠1=2x+16
m∠2=5x−35
What is m∠1 in degrees?
17 Degrees
What are skew lines?
Hint: (Non-Colpanar)
Non- Coplanar lines that dont intersect.