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Unit 4 Section 4 . 1 : Congruence and Transformations Vocabulary! 1. transformation - a change in the __________, __________, or __________ of a figure > types of transformations: translations, reflection, rotations, and dilations 2. pre-image - the ____________ figure ____________ a transformation 3. image - the ____________ figure ____________ a transformation 4. TRANSLATION – a transformation that ___________ or ___________ every point of a figure or graph the same ___________ in the same ___________ > Rule: 5. REFLECTION – a transformation that __________ the preimage across a __________ (called the line of reflection) > Rule: 7. DILATION (enlargement or reduction) – a transformation in which the __________ of a figure changes by a __________________, but the __________ does not change > Rule: 6. ROTATION – a transformation __________ a figure about a ____________ (called the center of rotation) > Rule:
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Unit 4 Section 4 . 1 : Congruence and Transformations Vocabulary!1. transformation - a change in the __________, __________, or __________ of a figure
> types of transformations: translations, reflection, rotations, and dilations
2. pre-image - the ____________ figure ____________ a transformation
3. image - the ____________ figure ____________ a transformation
6. ROTATION –
a transformation __________ a figure
about a ____________ (called the center of
rotation)
> Rule:
7. DILATION
(enlargement or reduction) –
a transformation in which the __________ of a
figure changes by a __________________, but the
__________ does not change
> Rule:
5. REFLECTION –
a transformation that __________ the preimage
across a __________ (called the line of reflection)
> Rule:
4. TRANSLATION –
a transformation that ___________ or
___________ every point of a figure or graph the
same ___________ in the same ___________
> Rule:
Example 1: Apply the transformation M to the polygon with the given vertices. Identify and describe the
transformation. Write the image coordinates.
a)
b)
c)
d)
More Vocabulary!8. congruent polygons - polygons with corresponding ____________ and ____________ ____________
9. isometry (rigid transformation) - a transformation that preserves ____________,
_________________, and _________; because of these properties, an isometry produces an
____________ that is ____________ to the ____________
Example 2: Name and describe the transformation according to its rule. List the image coordinates. Then determine whether polygons with the given transformation are congruent.
a)
b)
More Vocabulary!10. composition - a _________________ of two or more _________________
Example 3: Name and describe the transformation according to its rule. List the image coordinates. Then determine whether polygons with the given transformation are congruent.
Check It Out 3: Name and describe the transformation according to its rule. List the image coordinates. Then determine whether polygons with the given transformation are congruent.
