AM I YOUR TYPE?
THEOREMS AND COROLLARIES YOU SHOULD KNOW
LEVELS OF CONGRUENCE
YESTERDAY, ALL MY TROUBLES SEEMED SO FAR AWAY...
TRIANGLE CONGRUENCE POSTULATES
100
A triangle with three acute angles.
What is an "ACUTE" triangle?
100
The theorem that states "IF TWO ANGLES OF ONE TRIANGLE ARE CONGRUENT TO TWO ANGLES OF ANOTHER TRIANGLE, THEN THE THIRD PAIR OF ANGLES ARE CONGRUENT".
What is 3RD ANGLES THEOREM?
100
The value of x if Angle A is congruent to Angle B and the measure of Angle A=43 when the measure of Angle B=7x+1.
What is x=6?
100
The sum of the measures of Angle A and Angle B if Angle A and Angle B are remote interior angles to an angle that measures 120 degrees.
What is 120 DEGREES?
100
What postulate states "IF THREE SIDES OF ONE TRIANGLE ARE CONGRUENT TO THREE SIDES OF ANOTHER TRIANGLE, THEN THE TRIANGLES ARE CONGRUENT".
What is SSS?
200
A triangle with 3 congruent sides.
What is an "EQUILATERAL" triangle?
200
The theorem that states "THE MEASURE OF AN EXTERIOR ANGLE OF A TRIANGLE IS EQUAL TO THE SUM OF THE MEASURES OF ITS REMOTE INTERIOR ANGLES".
What is EXTERIOR ANGLE THEOREM?
200
The value of y if Side AB is congruent to Side BC and the length of Side AB=20 when the length of Side BC=2y+5.
What is y=7.5?
200
The measure of Angle A if Angle A and Angle B are remote interior angles to an exterior angle with a measure of 120 degrees and the measure of Angle B is 65 degrees.
What is 55 DEGREES?
200
What postulate states "IF TWO SIDES AND THE INCLUDED ANGLE OF ONE TRIANGLE ARE CONGRUENT TO TWO SIDES AND THE INCLUDED ANGLE OF ANOTHER TRIANGLE, THEN THE TRIANGLES ARE CONGRUENT".
What is SAS?
300
A triangle with 3 congruent angles.
What is an "EQUIANGULAR" triangle?
300
Finish the following corollary: "THE ACUTE ANGLES OF A RIGHT TRIANGLE ARE _______"
What is COMPLEMENTARY?
300
The value of x if Angle X is congruent to Angle Y and the measure of Angle X=2x+5 when the measure of Angle Y=3x-5.
What is x=10?
300
The measure of the exterior angle to the remote interior angles A and B if the measure of Angle A is 43 degrees and the measure of Angle B is 22 degrees.
What is 65 DEGREES?
300
What postulate states "IF TWO ANGLES AND THE INCLUDED SIDE OF ONE TRIANGLE ARE CONGRUENT TO TWO ANGLES AND THE INCLUDED SIDE OF ANOTHER TRIANGLE, THEN THE TRIANGLES ARE CONGRUENT".
What is ASA?
400
A triangle that has no congruent sides.
What is a "SCALENE" triangle?
400
Finish the following corollary: "THE MEASURE OF EACH ANGLE IN AN EQUIANGULAR TRIANGLE IS ____________"
What is 60 DEGREES?
400
The value of y if Side XY is congruent to Side YZ and the length of Side XY=5y+12 when the length of Side YZ=7y?
What is y=6?
400
The value of x if Angle A and Angle B are remote interior angles to an exterior angle with a measure of 90 degrees and Angle A = 2x degrees when Angle B = 13x degrees.
What is x=6?
400
The postulate that states "IF TWO ANGLES AND A NONINCLUDED ANGLE OF ONE TRIANGLE ARE CONGRUENT TO TWO ANGLES AND A NONINCLUDED ANGLE OF ANOTHER TRIANGLE, THEN THE TRIANGLES ARE CONGRUENT".
What is AAS?
500
A triangle that has at least 2 congruent sides.
What is an "ISOSCELES" triangle?
500
The theorem that states "THE SUM OF THE ANGLES OF A TRIANGLE IS 180 DEGREES".
What is TRIANGLE SUM THEOREM?
500
The 6 congruence statements hidden in the following: ∆ABC≅∆XYZ
What is...
500
The measure of angles A and B if they are remote interior angles to an exterior angle with measure 75 degrees and Angle A = 3x while Angle B=2x.
What is Angle A = 45 degrees and Angle B = 30 degrees?
500
The postulate that states "IF THE HYPOTENUSE AND LEG OF A RIGHT TRIANGLE ARE CONGRUENT TO THE HYPOTENUSE AND LEG OF ANOTHER RIGHT TRIANGLE, THEN THE TRIANGLES ARE CONGRUENT".
What is HL?