Classifying Triangles
Identify the triangle as (equilateral, isosceles or scalene) by the side lengths described.
A triangle with side lengths of 6 cm
Equilateral Triangle
Complementary angles add up to what?
90
What is the relationship between two lines that are parallel?
Their slopes are the same
solve the proportional relationship:
x 12
- = -
4 8
6
What does CPCTC stand for?
Corresponding Parts of Congruent Triangles are Congruent
A triangle has side lengths of 15 feet, 9 feet, and 15 feet. What kind of triangle is this?
Isosceles
Supplementary angles add up to what?
180
if given two parallel lines and a transversal, what is the relationship of same side interior angles?
supplementary (add to 180)
The midsegment of a triangle is half the length of what?
Side parallel to it
To use SSS congruency, you must show _______________.
That each side of one triangle is congruent to a corresponding side of a different triangle.
What type of triangles can we perform trig functions on
right triangles (90 degrees)
If a right triangle has an angle that measures 37 what is the measure of the other angle?
53
What is the relationship between the slopes of perpendicular lines?
They are opposite/negative reciprocals
Which trigonometric function would you use if you know the opposite and hypotenuse sides of the triangle?
Sine (SOH; sine=opposite/hypotenuse )
what transformation creates similar but not congruent triangles?
dilation
What is the measure of each angle in an equilateral triangle?
60o
Name the exterior angle of a triangle theorem
the exterior angle of a triangle is equal to the two non-adjacent interior angles
Definition of perpendicular
at an angle of 90° to a given line, plane, or surface.
What is the midpoint formula?
x1+x2 y1+y2
______ , ______
2 2
Describe the difference between when you can use the shortcut ASA and AAS.
To use ASA, there needs to be two corresponding angles and a corresponding included side that's congruent. To use AAS, there needs to be two congruent, corresponding angles and a congruent, corresponding side that is NOT between the angles.
The sum of the measures of the angles of a triangle is _____ degrees.
180
If the two non-adjacent angles are: x+10 and 2x+4
and the exterior angle is 130 degrees, what is the value of x?
38.667
if given two parallel lines and transversal, what is the relationship of corresponding angles?
set up and solve the trig function:
Given: angle of 51 degrees, know adjacent side is 11 feet. Solve for the hypotenuse side
x= 17.48 feet.
Cos(51)=11/x (multiply both sides by x)
x (cos(51))=11 (divide by cos(51)both sides
x=17.48
Can you prove tringle congruency with SSA or AAA?
No