Name:______________________
Pd:_____
Chapter 11: Congruence, Similarity, and Transformations- Vocab and Important Concepts
Lesson 11-1: Angle and Line Relationships
Key Concept- Pairs of Angles
Words
Pairs of opposite
angles formed by
intersecting lines.
Vertical angles
are ________.
Models (draw them!)
Symbols
Two angles with a
common vertex and
side. Adjacent angles
do not __________.
Complementary
angles
2 angles that have a
sum of _______.
Supplementary angles
2 angles that have a
sum of _______.
Perpendicular lines:
Sketch-
two lines that intersect to form a ___________ angle
Parallel lines:
Sketch-
Two lines in a plane that never intersect are called ____________.
TransversalA line that ______________ _______ or more ______ lines in a ________.
Key Concept- Special Angle Relationships
Label the picture like pg 495!
names
Alternate
interior angles
words
Which pairs?
a)
b)
Alternate
exterior
angles
a)
Corresponding
angles
a)
Each pair of each
type of angle is
C____________!
b)
b)
c)
d)
Lesson 11-2: Triangles
Concept Summary- Angle Sum of a Triangle
Words
Model
Symbols
A ________ ___________ is the part of a line containing ____ ___________ and ____ of the
points _____________ them. A ___________ is formed by ______ line segments that
__________ only at their ______________. A ___________ is the point where the segments
of a triangle _________
Interior angle-
Name:______________
Chapter 11: Congruence, Similarity, and Transformations- Vocab (cont)
Pd:___
Lesson 11-2: Triangles (cont.)
Concept Summary: Classify Triangles
By
Angles
Acute Triangle
______ acute angles.
Obtuse Triangle
______ obtuse angle.
Right Triangle
_____ right angle.
By
Sides
Scalene Triangle
Isosceles Triangle
Equilateral Triangle
_____ congruent sides. At least ______ congruent _____ sides
sides.
congruent.
Note pg 505: Congruent Segments- ________ marks on the sides of a triangle indicate that
those sides are ___________________.
Lesson 11-3: Polygons
A _________ is a simple, __________ figure formed by ______ or more line _________ called
___________.
Polygon
Sides Polygon
Sides Polygon
3
5
4
6
Key Concept- Interior Angles of a Polygon
Sides
7
8
Polygon
Sides
9
10
Words: The ____ of the degree measures of the ___________ angles of a polygon with n
sides is _____________.
Symbols:
A ___________ is a line _____________ that joins _____ ________________ vertices in a
polygon.
A __________ _______ is a polygon that has ____ sides congruent and all __________
congruent.
A ___________ pattern of polygons that fit together with ____ _________ or holes is called a
_________________. The _____ of the measures of the _________ where the _______
meet in a tessellation is ___________.
Lesson 11-4: Translations and Reflections on the Coordinate Plane
A _______________ is an operations that maps an ____________ geometric figure onto a new
figure called the __________. For certain types of ______________, the original ________
and its image are ____________ figures. ____________ figures have the _______ shape
and the ________ _______.
Key Concept- Translations and Reflections
Translation


Called a ___________ . You move a figure _____________ turning it
Translated image and original figure are ____________.
Orientation is the ______________ as the original figure.
Sketch:
Reflection



Called a __________. The line you flip over is called the _______ of _____________.
Figures are _____________ images of each other.
Reflected image and the original figure are ____________.
Orientation is ______________ from the original figure.
Sketch:
Pg 522 (top): When ______________ a figure, _________ point of the original figure is moved
the __________ distance and in the same __________________.
Name:______________
Chapter 11: Congruence, Similarity, and Transformations- Vocab (cont)
Pd:___
Pg 523 (top): When _________________ a figure, every point of the original figure has a
corresponding point on the ________ _______ of the ____________ of ______________.
Corresponding points are the ___________ ________________ from the line of reflection.
Lesson 11-5: Rotations on the Coordinate Plane
A ___________ is a transformation in which a figure is __________ around a _________ point.
This _______ is called the ________ of _____________. Rotations are also called _______.
Since a ____________ image and its original figure have the _____ _______ and _______,
they are _____________.
Rotational symmetry
If a figure can be rotated _______ than _______ about its center so that the image ______
the ________ figure, the figure has _______________ ________________.
Lesson 11-6: Congruence and Transformations
Two figures are ____________ if the __________ can be obtained from the first by a series of
___________________, ____________________, and/or ____________________.
Identify Transformations
Translation
 ______ is the ______
 _______________ is
the __________.
Notice the segments are
facing the same way.
(draw it!)
Reflection
 ______ is the ______
 _______________ is
____________.
Notice the segments are
facing the opposite way.
(draw it!)
Rotation
 ______ is the ______
 _______________ is
_____________.
Notice the segments are
facing a different way.
(draw it!)
Lesson 11-7: Dilations on the Coordinate Plane
A ____________ is a ___________ that ____________ or ___________ by a _____ _______.
Note (pg 540) DilateEveryday use – to __________ or __________.
Math use- to __________ or ___________ by a __________ factor.
Key Concept- Find a Scale FactorA dilation with a scale factor of k will be:
 An _______________________ if k _____ 1.
 A ______________________ if 0 _____ k _____ 1.
 The ___________ as the original figure if k _____ 1.
Note (pg 541) SimilarityDilations produce images that are similar ( ______ ________ but not same _______.
Lesson 11-8: Similarity and Transformations
Pg 545: Two figures are similar if the second can be obtained from the first by a
_______________ of _________________________ and _________________________.
Use the Scale Factor
_____________ figures have the same shape but may have ____________ _______. The
sizes of the ______ figures are related to the _______ _________ of the ____________.
You can find the _______________ of the image when given the ___________ _________
and the ______________ of the ______________ _____________.
Note (pg 546) Scale FactorIf the scale factor is _________ than 1, the dilation is a ______________. If the scale
factor is _____________ than 1, the dilation is an _____________________.