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Geometry. 4.1 Congruent Figures. Congruent Figures. Two objects are congruent ( ) if they have the same size and shape Two figures are congruent if and only if their vertices can be matched up so that corresponding parts ( angles and sides ) of the figures are congruent.

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Geometry l.jpg
Geometry

4.1 Congruent Figures


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Congruent Figures

  • Two objects are congruent ( ) if they have the same size and shape

  • Two figures are congruent if and only if their vertices can be matched up so that corresponding parts (angles and sides) of the figures are congruent.

  • When writing which figures are congruent, be sure to write the vertices in the same order.


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A

R

B

C

S

T

Triangle ABC

Triangle RST


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A

R

B

C

S

T

Triangle ABC

Triangle RST


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D

M

A

J

B

C

K

L

Quadrilateral ABCD

Quadrilateral JKLM


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D

M

A

J

B

C

K

L

Quadrilateral ABCD

Quadrilateral JKLM


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Congruent Figures

  • Sometimes you have to change the position of the figures to match up vertices

  • Practice “spinning” and “sliding” the figures mentally


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SPIN and SLIDE


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Defn. of Congruent Triangles

  • Two triangles are congruent ( ) if and only if their vertices can be matched up so that the corresponding parts (angles and sides) of the triangles are congruent.

A

E

D

F

B

C


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Defn. of Congruent Triangles

  • Two triangles are congruent ( ) if and only if their vertices can be matched up so that the corresponding parts (angles and sides) of the triangles are congruent.

∆ ABC ∆ DEF

7

D

A

7

The order must match.

7

E

B

7

A

D

7

F

C

7

AB

DE

BC

EF

B

C

E

F

CA

FD


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CPCTC

  • When the definition of congruent triangles is used in a proof, use the wording:

“corresponding parts of congruent triangles are congruent”

CPCTC


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O

B

M

N

A

Name 3 pairs of corresponding sides.

Name 3 pairs of corresponding angles.

Is it correct to say

Y

?


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D

C

O

A

B

Complete the statements given .

.

?

Why is


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B

I

G

T

P

Name the coordinates of B, I, and G.

Name the coordinates of a point D, such that

.

Name the coordinates of a point O, such that

.


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Homework

  • pg. 120 #1-6, 10-13, (15-21 odd)

  • Makeups next week are Wednesday after school

  • Graphing Calculator?