4-1 congruent figures swbat: recognize congruent figures and their corresponding parts
TRANSCRIPT
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.
• 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 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:
ClosureSuppose 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.