Download SWBAT: Recognize Congruent Figures and Their Corresponding Parts

4-1 Congruent
Figures
SWBAT:
Recognize Congruent Figures and Their
Corresponding Parts
Recall…
•  What are Congruent Segments?
•  What are Congruent Angles?
We know that Congruent Segments have the
equal lengths and Congruent Angles have the
equal angle measure.
•  Predict what you think Congruent Figures
are…
Congruent Figures
•  Congruent Figures have the same size and
shape.
•  When two figures are congruent, you can move
one so it fits exactly on top of another one.
•  Three ways to do this are a slide, flip, and/or a
turn.
What are Congruent
Polygons?
•  Congruent polygons have congruent
corresponding sides and angles.
•  Matching Vertices are Corresponding Vertices.
•  When you name congruent polygons, always
list the corresponding vertices in the same
order.
Listing Corresponding
Parts
Name the Corresponding Angles…
Name The Corresponding Sides…
•  If we can say all corresponding sides and angles are
congruent, then we can say the polygons are congruent.
•  It is very important when you write a congruence
statement, that the corresponding angles are in the same
position in the statement:
•  What is another way to write the statement?
Ex 1: Naming Congruent
Parts
Ex 1B: No Diagram?
No Problem!
Given the following Congruence Statement, list the
congruent corresponding parts.
Sides:
Angles:
Ex 2: Congruent Triangles?
Prove that the triangles are congruent. Justify your
answer.
Sides:
Angles:
Apply your knowledge
•  Nothing is more exciting than proofs!!! Let’s try a proof
that utilizes this theorem.
4. Two corresponding angle pairs are ≅ so
we know the third pair is ≅…
Closure
Suppose that two pentagons are congruent. How many
pairs of corresponding parts are there? Explain. Suppose that two hexagons are congruent. How many
pairs of corresponding parts are there? Explain. Suppose that two n-gons are congruent. How can we
represent how many pairs of corresponding parts are
there? Explain.