Download congruence criteria review 17a

Proving Triangles Congruent
Lesson 17a
Question of the Day: Using the information given, state the corresponding parts and the congruence
criteria shown.
Given: Line JG ll Line HI; GJ ≅ IH
Review Discussion
- Corresponding parts of congruent triangles are congruent ___________________: congruent
_________________ have matching ______________and ________________ that are
_________________________
-_______________________ _________________: If _____________ ______________ of
certain ________________________parts are known to be ________________________, then
the _______________________are __________________________.
-_______________: two pairs of corresponding sides and the angle between them are
congruent
-______________: all pairs of corresponding sides are congruent
-_____________: two pairs of corresponding angles and the side between them are congruent
-____________: Two pairs of corresponding angles and the side next to one of them are
congruent
**THERE IS NO ______________ IN GEOMETRY!!**
Congruence Hints:
Automatically congruent:
Given information:
1.) _______________ side
1.) ______________ transversal ____________ angles
2.) _______________ angles
2.) ______________ and bisect: two ______________ pieces
Examples:
What criteria proves congruence? State the corresponding parts of the figures.
1.)
2.) LM ll NO
What congruence criteria is shown by the information given? List the corresponding parts and explain
why they are congruent.
3.) Given: 𝑨𝑩∥𝑪𝑫,𝑩C=𝑪𝑫;
4.) Given:<A ≅ <C; X is the midpoint of DB
D
A
X
C
B
Using the given information, explain why the triangles fit the congruence criteria
4.) Given: JK ≅ LM; JK ∥ LM; ∆𝐽𝑀𝐿 ≅ ∆𝐿𝐾𝐽 by SAS