Proof Properties A
Proof Properties B
Proof Properties C
Proof Steps
Grab Bag
100
Apply the symmetric property to the statement below.
5 = x
x = 5
100
In the triangle below, if "D" is the midpoint of AC, what is AD congruent to?
DC
100
Which property do we use to conclude that the two triangles below are congruent?
SSS
100
What is the reason for Statement #1 below?
Given
100
Given the congruence statement below, what segment is congruent to CB?
FE
200
What property says that a figure is congruent to itself?
reflexive property
200
Name the 5 triangle congruence theorems we learned.
SSS, SAS, AAS, ASA, HL
200
Which triangle congruence theorem is this: If two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then these two triangles are congruent
SAS
200
What is the reason for statement #3 below?
reflexive property
200
What Billie Eilish song won a Golden Globe last night?
What Was I Made For?
300
Assume JL bisects KLM. Apply the definition of bisect.
angle KLJ is congruent to angle JLM
300
IF DB bisects <B, what angle is <DBC congruent to?
<DBA or <ABD
300
Write the converse of the following statement: If a person is a teenager, they like to play Fortnite.
If a person likes to play Fortnite, then they are a teenager.
300
What is the reason for statement #3 below?
vertical angles theorem / VAT
300
If the non-base angle of an isosceles triangle is 30 degrees, what is the measure of EACH of the other two angles?
75 degrees
400
Given: Angle B is congruent to angle C. Which theorem do we use to prove that AB is congruent to AC below?
isosceles triangle theorem converse / ITT converse
400
What congruence theorem can be used to prove the triangles below are congruent?
Not congruent.
SSA is not a congruence theorem.
400
What is the definition for angles that are next to one another and have a common side and vertex?
adjacent angles
400
What is statement number 6?
m<1 + m<5 = 180
400
How many hearts does an octopus have?
3
500
Given: Point B is the midpoint of segments AE and CD. What is the one other property you should use to prove the two triangles are congruent by SAS?
vertical angles theorem / VAT
500
Name the 3 congruence theorems that could be used to prove the triangles below are congruent.
SAS, AAS, HL
500
Which two properties lead to the conclusion?
Given: ∠A+∠B=180° and ∠B+∠C=180°
Conclusion:∠A=∠C
substitution/transitive property of equality AND subtraction property of equality
500
In the triangles below, AD || CE and DB is congruent to BC. Which triangle congruence shortcut should we use to prove the two triangles congruent? (must be able to explain orally!)
Should use ASA or AAS, depending on steps.
Oral answer must include either <A = <E or <D = <C (alternate interior angles)
Answer may include vertical angles.
500
What is today's high temperature in Sunnyvale, according to The Weather Channel?
57 degrees