Chapter 5 Flashcards
Triangle’s sum thereom
The sum of the interior angles of a triangle add up to 180
Formula: m<1 + m<2 + m<3 = 180
Vertices
Corners
Transitive property
a=b and b=c then, a= c
Scalene triangle
No congruent sides
Isosceles triangle
At least two congruent sides
Equilateral triangle
3 congruent sides
Acute triangle
3 acute angles
Right triangle
1 right angle
Obtuse triangle
1 obtuse angle
Equilangular triangle
3 congruent angles
Same lines/marks
Congruent
Exterior angles thereom
The measure of an exterior angle of a triangle is = to the sum of the measures of the 2 non-adjacent interior angles
Congruence
To prove congruence, you must show that every pair of corresponding sides and <s are congruent
Same spot
Congruent
Equilateral triangle angles
Each angle will be 60 degrees
Base angles thereom
If two sides of a triangle are congruent, then the angles opposite them are congruent
Same shape and difference size
Still congruent
Side angle side congruence thereom
If two sides and the angle formed by these two sides are equal to two sides and the included angle of another triangle, then these triangles are said to be congruent
Memorize angles too
Sss thereom
If both triangles have 3 pairs of congruent, corresponding sides, then the triangle’s are congruent to each other.
Asa congruent thereom
If triangles have 2 pairs of congruent, corresponding angles and one pair of congruent, corresponding sides between the angles then the triangle’s are congruent to each other
AAS congruence thereom
If triangles have two pairs of congruent, corresponding angles and one pair of congruent corresponding sides not between the angles then the two triangles are congruent
HL congruent thereom
If right triangles have one pair of congruent legs and the hypotenuses are congruent, then then triangles are congruent
CDCTC
Corresponding pairs of congruent triangles are congruent
HL only applies to…
Right triangles
ASA AND AAS ARE…
Different
SSA ON RIGHT TRIANGLE =
HL
Alternate exterior and interior angle thereom
Congruent
Corresponding angles thereom
Congruent
Consecutive interior angle thereom
Supplementary
Skew
Two lines that are neither parallel nor intersecting
Corresponding
Same position different location
Alternate
Other side
Consecutive
Next too
Exterior
Outside
Interior
Inside
Congruent
The exact same measurements
Parallel lines have
Arrows
If thereom converses true then…
Parallel lines
Vertical angles
Congruent
Linear pairs
= 180
Non adjacent angle
Angles that are not next to each other nor on the same side
Definition of bisect
Equal
Hypotenuse side
Side of a right triangle that is opposite of the right angle
Legs
Right triangle: two sides that make right angle, REMAINING IS CALLED HYPOTENUSE
