ANSWER
If two angles are complementary to the same angle (or to two congruent angles), then the two angles are congruent.
< means "Angle".
Hypothesis:<1 and <2 are complementary.<2 and <3 are complementary.
Conclusion: <1 equal and congruent to <3.
The Opposite Sides Parallel and Congruent Theorem states that if a quadrilateral has a pair of opposite sides that are parallel and congruent, then the quadrilateral is a parallelogram.
if two angles are supplements of congruent angles, then the two angles are congruent.
Pythagorean theorem
leg
hypotenuses
congruent
congruent complements
asa theorem
The Opposite Sides Parallel and Congruent Theorem states that if a quadrilateral has a pair of opposite sides that are parallel and congruent, then the quadrilateral is a parallelogram.
if two angles are supplements of congruent angles, then the two angles are congruent.
The SAS theorem is used to prove that two triangles are congruent. If the triangles have a side-angle-side that are congruent (it must be in that order), then the two triangles can be proved congruent. Using this theorem can in the future help prove corresponding parts are congruent among other things.
Oh, dude, proving vertical angles are congruent? That's like proving water is wet. Helena just needs to show that those angles are opposite each other when two lines intersect. It's like saying, "Hey, these angles are equal because they're like mirror images of each other." Easy peasy lemon squeezy.
Pythagorean theorem
leg
It's when they're congruent and equal 180 degrees.
The hypotenuse leg theorem states that any two right triangles that have a congruent hypotenuse and a corresponding, congruent leg arecongruent triangles.
hypotenuses