Download math 8 notes: congruence

Name__________________________
MATH 8 NOTES: CONGRUENCE
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CONGRUENT PARTS OF CONGRUENT FIGURES
If two figures are congruent, their corresponding ___________ are congruent and their
corresponding _____________ are congruent.
In the diagram shown to the right, the
two triangles are congruent because
V DEF is the image of V ABC reflected
over line m. We notate that as
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Example #1: Write congruence statements comparing the corresponding parts in the
congruent triangles shown.
Example #2: Write congruence statements comparing the corresponding parts in the
congruent triangles shown.
Example #3:Triangle ABC is congruent to triangle to XYZ. Write congruence statements
comparing the corresponding parts. Then determine which transformations map V ABC to
V XYZ.
Step 1: List corresponding angles and sides:
Step 2: Which transformations were performed?
Example #4: Miley is using a brace to support a tabletop. In the figure,
m <CEB = 50 ° , what is the measure of < FGD?
V BCE
@ DFG. If
Example #5: Parallelogram WXYZ is congruent to parallelogram KLMN. Write congruence
statements comparing the corresponding parts (angles and sides). Then determine which
transformations mapped WXYZ onto KLMN.
a. Describe a combination of transformations that created the images below.
b. Determine if the two figures are congruent.
1)
2)
3)
4)