Triangle Congruence Flashcards
What other corresponding parts do you need to get these triangles congruent and what is the reason?
angle ACB is congruent to angle ECD by VAT
Describe how to get BQ congruent to AP and provide reasons.
Side through reflexive
triangles congruent through SAS
BQ congruent to AP through CPCTC
Are these triangles congruent? Why?
Yes, SAS
If B is the midpoint of segment AC, what can I conclude and why?
(hint: visualize or draw)
segment AB is congruent to segment CB
Describe how to get AB congruent to CD and provide reasons.
angles congruent thru Alt Int Angles
Side through reflexive
triangles congruent through ASA
AB congruent to CD through CPCTC
If ray PK is the bisector of angle TPM, what can I conclude and why?
(hint: visualize or draw it)
angle TPK is congruent to angle MPK
Complete the congruence statement:
Triangle ABG is congruent to Triangle __ __ __
BAQ
Describe how to get AC congruent to ED and provide reasons.
angles congruent thru VAT
triangles congruent through SAS
AC congruent to ED through CPCTC
Complete the congruence statement:
Triangle ACB is congruent to Triangle __ __ __
ECD
Describe how to get AB congruent to CD and provide reasons.
angles congruent thru Alt Int Angles
Side through reflexive
triangles congruent through ASA
AB congruent to CD through CPCTC
How do you prove triangles congruent by their definition? (There are two ways)
Prove their corresponding parts are congruent or map the figures onto each other through a series of rigid transformations.
What can you conclude and why?
angle Q is congruent to angle S by BAT
Which side corresponds with AC?
DF
Are these triangles congruent? Why?
Yes, AAS
Are these triangles congruent? Why?
Yes, ASA