& Verified Answers | 2026 | 2027
Quiz_________________?
1. if two angles of a triangle are congruent to two angles of another triangle then the 3rd
angles are a;sp congruent
2. Each angle in an equiangular triangles has a measure of 60 degrees
3. in a triangle, there can only be one obtuse or one right angle
4. the acute angles of a right triangle are congruent -
ANSWER✅
Corollaries of Triangle Angle Sum Theorem
Quiz_________________?
1. show a pair of corresponding angles are congruent
2. show a pair of alternate interior angles are congruent
3. show that a pair of same-side interior angles are supplementary
4. in a plane show that two lines are perpendicular to the same 3rd line
5. show that both lines are parallel to the same 3rd line -
ANSWER✅
Ways to Prove Lines Parallel
1
, Quiz_________________?
A diameter that is perpendicular to a chord bisects the chord and its arc -
ANSWER✅
Perpendicular Bisector Diameter Theorem
Quiz_________________?
a line contains at least 2 points, a plane contains at least 3 points not all in one line, and
space contains at least 4 points not all in one plane -
ANSWER✅
Postulate 5
Quiz_________________?
A line that contains the midpoint of one side of a triangle and is parallel to another side
passes through the midpoint of the third side -
ANSWER✅
parallel midpoint crossing triangle theorem
Quiz_________________?
a line that is perpendicular to a side of a triangle and passes through the midpoint of that
side -
ANSWER✅
Perpendicular Bisector
Quiz_________________?
a pair of adjacent angles (angles next to each other) when two lines intersect -
2
, ANSWER✅
Linear Pair
Quiz_________________?
a ray that cuts an angle into two congruent, smaller angles -
ANSWER✅
Angle Bisector
Quiz_________________?
a segment in a triangle from a vertex to the opposite side -
ANSWER✅
Median
Quiz_________________?
a triangle with two congruent sides -
ANSWER✅
Isosceles Triangle
Quiz_________________?
a^2+b^2=c^2 -
ANSWER✅
Pythagorean Theorem
3
, Quiz_________________?
a=a -
ANSWER✅
Reflexive Property
Quiz_________________?
a=b, b=a -
ANSWER✅
Symmetric Property
Quiz_________________?
a=b, b=c, then a=c THINK OF THE Z (for proofs) -
ANSWER✅
Transitive Property
Quiz_________________?
adding two segment together creates one larger segment (ex: ab+bc= ac in a line) -
ANSWER✅
Segment Addition Postulate
Quiz_________________?
all vertical angles pairs are congruent -
ANSWER✅
Theorem 2-3
4
Quiz_________________?
1. if two angles of a triangle are congruent to two angles of another triangle then the 3rd
angles are a;sp congruent
2. Each angle in an equiangular triangles has a measure of 60 degrees
3. in a triangle, there can only be one obtuse or one right angle
4. the acute angles of a right triangle are congruent -
ANSWER✅
Corollaries of Triangle Angle Sum Theorem
Quiz_________________?
1. show a pair of corresponding angles are congruent
2. show a pair of alternate interior angles are congruent
3. show that a pair of same-side interior angles are supplementary
4. in a plane show that two lines are perpendicular to the same 3rd line
5. show that both lines are parallel to the same 3rd line -
ANSWER✅
Ways to Prove Lines Parallel
1
, Quiz_________________?
A diameter that is perpendicular to a chord bisects the chord and its arc -
ANSWER✅
Perpendicular Bisector Diameter Theorem
Quiz_________________?
a line contains at least 2 points, a plane contains at least 3 points not all in one line, and
space contains at least 4 points not all in one plane -
ANSWER✅
Postulate 5
Quiz_________________?
A line that contains the midpoint of one side of a triangle and is parallel to another side
passes through the midpoint of the third side -
ANSWER✅
parallel midpoint crossing triangle theorem
Quiz_________________?
a line that is perpendicular to a side of a triangle and passes through the midpoint of that
side -
ANSWER✅
Perpendicular Bisector
Quiz_________________?
a pair of adjacent angles (angles next to each other) when two lines intersect -
2
, ANSWER✅
Linear Pair
Quiz_________________?
a ray that cuts an angle into two congruent, smaller angles -
ANSWER✅
Angle Bisector
Quiz_________________?
a segment in a triangle from a vertex to the opposite side -
ANSWER✅
Median
Quiz_________________?
a triangle with two congruent sides -
ANSWER✅
Isosceles Triangle
Quiz_________________?
a^2+b^2=c^2 -
ANSWER✅
Pythagorean Theorem
3
, Quiz_________________?
a=a -
ANSWER✅
Reflexive Property
Quiz_________________?
a=b, b=a -
ANSWER✅
Symmetric Property
Quiz_________________?
a=b, b=c, then a=c THINK OF THE Z (for proofs) -
ANSWER✅
Transitive Property
Quiz_________________?
adding two segment together creates one larger segment (ex: ab+bc= ac in a line) -
ANSWER✅
Segment Addition Postulate
Quiz_________________?
all vertical angles pairs are congruent -
ANSWER✅
Theorem 2-3
4
