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
How many midsegments does a triangle have?
3
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
What is the product of the slopes of perpendicular lines?
-1
The midsegment of a triangle is half the length of the what to it?
Side parallel
To use SSS congruency, you must show _______________.
That each side of one triangle is congruent to a corresponding side of a different triangle.
A triangle has angle measurements of 45°, 90°, and 45°. What kind of triangle is it?
Isosceles
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
A midsegment of a scalene triangle has a length of 12 inches...What is the length of its corresponding side?
24 inches
What is the only congruency shortcut that requires the triangle to be a specific type of triangle? And what is that type of triangle?
Hypotenuse-Leg congruency & a right triangle.
What is the measure of each angle in an equilateral triangle?
60o
What are angles that are in opposite positions relative to a transversal intersecting two lines?
Alternate Angles
Are these two lines perpendicular?
y =-4x + 3
y = (-1/4)x + 5
Yes
When the midpoints of two sides of a triangle are connected they form a what?
Midsegment
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
All triangles have interior angles that add up to what?
180
Are these two lines parallel?
y = 4x + 3
8x - 2y = 4
Yes
The endpoints of a midsegment are what?
Midpoints
No