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HG U3D3 Conditions for Congruency Sept5
By Ali Yasseri
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Last updated 12 months ago
38 questions
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How do we prove triangles are congruent?
Question 1
1.
What is a rigid transformation?
Question 2
2.
Question 3
3.
When completing a rigid transformation, what is the difference between the pre-image and image?
Question 4
4.
The rule to complete the translation is (x,y) => _______.
Question 5
5.
(There is a blank graph for you to use.)
C(-3,-4) => C'_______
D(-1,2) => D' _______
E(4,3) => E' _______
visibility
View drawing
Click on the link:
www.geogebra.org/m/estpzh5d
1
Does the diagram give enough information to show that the triangles are congruent?
If so, state the postulate or theorem (SSS, ASA, SAS, AAS, HL) you would use and write a
triangle congruency statement
.
The order of the letters matters.
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1
Does the diagram give enough information to show that the triangles are congruent?
If so, state the postulate or theorem (SSS, ASA, SAS, AAS, HL) you would use and write a triangle congruency statement.
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1
Does the diagram give enough information to show that the triangles are congruent?
If so, state the postulate or theorem (SSS, ASA, SAS, AAS, HL) you would use and write a triangle congruency statement.
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1
Does the diagram give enough information to show that the triangles are congruent?
If so, state the postulate or theorem (SSS, ASA, SAS, AAS, HL) you would use and write a triangle congruency statement.
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Triangle Congruence Theorems
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Triangle Congruence Theorems
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Triangle Congruence Theorems
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Triangle Congruence Theorems
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Triangle Congruence Theorems
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Triangle Congruence Theorems
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Question 37
37.
Triangle Congruence Theorems
Write on the picture to show your work.
visibility
View drawing
Question 38
38.
Triangle Congruence Theorems
Write on the picture to show your work.
visibility
View drawing
Select all the transformations that would be considered rigid.
Translation
Rotation
Dilation
Reflection
Click on the link:
www.geogebra.org/m/estpzh5d
Question 6
6.
Question 7
7.
Question 8
8.
Question 9
9.
If so, state the postulate or theorem (SSS, ASA, SAS, AAS, HL) you would use and write a
triangle congruency statement
.
∆ABD is congruent to ∆_______ by _______(SSS, ASA, SAS, AAS, HL).
Question 10
10.
Fill in the blanks to identify corresponding congruent parts.
a. Angle R is congruent to _______.
b. Segment RS is congruent to segment _______.
c. Angle S is congruent to _______.
Question 11
11.
State the postulate or theorem (SSS, ASA, SAS, AAS, HL) you would use and write a triangle congruency statement.
∆TRS is congruent to ∆_______ by _______.
Question 12
12.
Fill in the blanks to identify corresponding congruent parts.
a. Angle L is congruent to _______.
b. Angle M is congruent to _______.
c. Segment MN is congruent to segment _______.
Question 13
13.
State the postulate or theorem (SSS, ASA, SAS, AAS, HL) you would use and write a triangle congruency statement.
∆NML is congruent to ∆_______ by _______.
Question 14
14.
Fill in the blanks to identify corresponding congruent parts.
a. Segment AB is congruent to segment _______.
b. Angle B is congruent to _______.
c. Segment BC is congruent to segment _______.
Question 15
15.
State the postulate or theorem (SSS, ASA, SAS, AAS, HL) you would use and write a triangle congruency statement.
∆ABC is congruent to ∆_______ by _______.
Question 16
16.
Question 17
17.
Question 18
18.
Justify each part of the theorem.
a. Segment AB is congruent to segment _______.
b. Segment BC is congruent to segment _______.
c. Segment AC is congruent to segment _______.
Question 19
19.
Complete the triangle congruency statement for the two triangles.
∆ABC is congruent to ∆_______.
Question 20
20.
Question 21
21.
Question 22
22.
Justify each part of the theorem.
a. Angle A is congruent to _______.
b. Segment AB is congruent to segment _______.
c. Angle ABC is congruent to _______.
Question 23
23.
Complete the triangle congruency statement for the two triangles.
∆ABC is congruent to ∆_______.
Question 24
24.
Question 25
25.
Question 26
26.
Justify each part of the theorem.
a. Segment AB is congruent to segment _______.
b. Angle ABD is congruent to _______.
c. Segment BD is congruent to segment _______.
Question 27
27.
Complete the triangle congruency statement for the two triangles.
∆ABD is congruent to ∆_______.
Question 28
28.
Question 29
29.
Question 30
30.
Question 31
31.
Justify each part of the theorem.
a. Angle D is congruent to _______.
b. Segment DC is congruent to segment _______.
c. Segment AC is congruent to segment _______.
Question 32
32.
Complete the triangle congruency statement for the two triangles.
∆DCA is congruent to ∆_______.
Question 33
33.
Question 34
34.
Question 35
35.
Justify each part of the theorem.
a. Angle D is congruent to _______.
b. Angle DCE is congruent to _______.
c. Segment CE is congruent to segment _______.
Question 36
36.
Complete the triangle congruency statement for the two triangles.
∆DCE is congruent to ∆_______.
What rules can you use to prove triangles are congruent?
SAA
AAS
SAS
ASA
SSS
AAA
HL
SSA
Does the diagram give enough information to show that the triangles are congruent?
Yes
No
Do you have enough information to prove congruent triangles?
Yes
No
What triangle congruence theorem would you use to prove congruent triangles? (SSS, SAS, ASA, AAS, HL)
AAS
SSS
ASA
SAS
HL
Do you have enough information to prove congruent triangles?
Yes
No
What triangle congruence theorem would you use to prove congruent triangles? (SSS, SAS, ASA, AAS, HL)
ASA
HL
AAS
SSS
SAS
Do you have enough information to prove congruent triangles?
Yes
No
What triangle congruence theorem would you use to prove congruent triangles? (SSS, SAS, ASA, AAS, HL)
SSS
HL
AAS
SAS
ASA
Do you have enough information to prove congruent triangles?
Yes
No
Do you have enough information to prove congruent triangles?
Yes
No
What triangle congruence theorem would you use to prove congruent triangles? (SSS, SAS, ASA, AAS, HL)
SSS
AAS
ASA
HL
SAS
Do you have enough information to prove congruent triangles?
Yes
No
What triangle congruence theorem would you use to prove congruent triangles? (SSS, SAS, ASA, AAS, HL)
SSS
ASA
AAS
HL
SAS