Font size
WorksheetsGEOM(HE) The Triangles Test
Total questions: 14
Worksheet time: 14mins
The Definition of Congruent Triangles should include:
3 Congruent Side and 3 Congruent Angles
1 Side and 1 Angle Pairs, are congruent
3 Pairs of Congruent Sides and Congruent Angles
3 Pairs of Congruent Sides are Congruent
This theorem (Hint), is not necessary for the proving of congruent triangles; which of the answers listed below is it?
ASA
AAS
SSA
SAS
Select the criteria needed to prove HL for 2 congruent triangles.
(Select all that apply)
Both of the Triangles are Right Triangles
A pair of Vertex Angles are needed to prove that both Triangles are Congruent
The Legs of both Triangles are Congruent
The Hypotenuses of the Triangles are Congruent
Going back to the question about AAS why is it not a necessary theorem?
Select the reason for why it is not necessary, and select 1 congruent statement that AAS has that is TRUE.
AAS is not necessary because it can be prove with AAA by using 3rd angles theorem to prove that the triangles are congruent.
A pair of non-included sides are congruent to each other for AAS.
AAS is not necessary because it can be proven with new given information and then you can use ASA to prove that the triangles are congruent.
AAS is not necessary because it can be proven with 3rd Angles Theorem and then ASA can prove the triangles are congruent.
2 Pairs of Congruent Non-Included Sides are congruent to each other for AAS.
True or False:
If a vertex angle of an isosceles triangle measures 60 degrees then the two base angles should measure 60 degrees.
True
False
Take a little brain break!
You have 30 seconds to relax and decide on this question:
You wake up at 3 AM to get a late-night snack, which of these items listed below would you choose? (Not worth points don't stress!)
Cold Pizza
A big bag of Classic Lays
A small Teacake
A room-temperature Coffee
SSS, HL, AAS, ASA, SAS are all ways to prove shortcut methods of:
Proving Congruent Figures
Proving Congruent Polygons
Proving Congruent Triangles
SSS, stands for:
(Use lowercase letters and space them apart like this,
angle side angle (ASA))
(a)
You are given:
<H is congruent to <L
Triangle HMN is adjacent to Triangle LMN
<HMN in congruent to <LMN
What theorem or postulate can be used to prove Triangle, HMN is congruent to Triangle LMN?
AAS Theorem
ASA Postulate
SAS Postulate
SAA Theorem
What can be used to prove a side is congruent to itself?
(Example: Adjacent Triangles)
Reflexive Property of Equality
Reflexive Property Of Congruence
Transitive Property of Congruence
Given: <A and <D are congruent, <B and <E are Congruent, Side AB is congruent to side DE
Prove: Triangle ABC is congruent to Triangle DEF
Fill in the blank for the proof statements (Choose all that apply):
Statements Reasons
1. <A and <D are ≅ 1. Given
2. <B and <E are ≅ 2. Given
3. _____ 3. Given
4. Triangle ABC is ≅ Triangle DEF 4. ___
3. Side AC is congruent to side DE
4. AAS
3. <B and <E are ≅
4. ASA
3. Side AB is congruent to side DE
Whew! That was a lot to take in, here's a brain break!
You have 45 seconds to decide on this question, don't worry this doesn't affect your score so take lots of time!
If you had to go on an island for 24 Hours who would you take?
A random businessman
Your Social Studies (S.S.) Teacher
Your best friend
Your favorite pet
Which of the answers below is NOT a Theorem or Postulate?
(Select all that apply, and pay attention closely!)
SAS Theorem
AAS Theorem
SSS Postulate
AAA Postulate
Which theorem or postulate contains a SIDE INCLUDED ANGLE SIDE:
(DO NOT WRITE THEOREM OR POSTULATE AFTER ANSWER, write as so
Example: (Correct answer SSS Congruence Post) SSS)
(a)
