Congruence Statements
Congruence Postulates
CPCTC Problems
Proofs
Transformations
100
Draw the symbol we use for congruence.
~=
100
List all of the triangle congruence postulates.
SSS, SAS, ASA, AAS, and HL.
100
Solve for x.
x=41
100
What always goes at the top of a proof?
The given information.
100
Name the three types of rigid transformations we've learned about.
Rotations, Reflections, and Translations
200
What does the word congruent mean?
Same shape, same size.
200
Are the following triangles congruent? If so, state by which theorem. If not, state NC.
Yes, ASA.
200
Given that the two triangles are congruent, solve for x.
x=7
200
When do we use CPCTC in a proof?
Only after proving two triangles congruent.
200
Fill in the blank:
Image
300
IK
300
Are the following triangles congruent? If so, state by which theorem. If not, state NC.
Yes, SAS.
300
Given that the two triangles are congruent to each other, solve for x.
x=15
300
What reason do we use to say ZX=ZX ?
Reflexive Property
300
In rotations, if we're not given a direction, which direction should we rotate?
Counterclockwise (CCW)
400
Given the two triangles below, finish the congruence statement:
triangleCAB~=
triangle CAD
400
What more information do we need in order to say these triangles are congruent by SAS?
EG~=PR
400
What is the perimeter of triangleTUV ?
The perimeter is 118 mm.
400
Name the angles that are secretly congruent in this picture.
angleEDF~=angleSDR
400
Fill in the blank:
The image and pre-image are always _____________ to each other under rigid transformations.
Congruent
500
angleR
500
If AB is a perpendicular bisector to DC, then what more information is needed to say the two triangles are congruent by HL?
DA~=CA
500
Given triangleCOW~=triangleBUG , it is known that CO=2x+10 , UG=x+16 , and GB=3x+24 . It is also known that the perimeter of one triangle is given by the expression 10x-14 . Then solve for x and find the length of GB.
x=16
and
GB=72
500
If AE and BD bisect each other, how are the two triangles congruent?
SSS
500
What does it mean for a transformation to be "rigid"?
Only the location/orientation is changed, not the shape or size.