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Transformations in the
Coordinate Plane
Vocabulary
Point
• A point is an exact location. It has no size, only
position.
Line
• is straight (no curves),
• has no thickness, and
• extends in both directions without end
(infinitely).
Perpendicular Line
• Lines that are at right angles (90°) to each
other.
• Their slopes are negative reciprocals of each
other
Parallel Line
• Two lines on a plane that never meet. They
are always the same distance apart.
Line Segment
• In geometry, a line segment is a part of a line
that is bounded by two distinct end points,
and contains every point on the line between
its end points.
Distance Along A Line
• Also known as the distance between two
points
Ray
• A line with a start point but no end point (it
goes to infinity)
Angle
• The amount of turn between two straight
lines that have a common end point (the
vertex).
• A shape, formed by two lines or rays diverging
from a common point (the vertex).
Right Angle
• An angle which is equal to 90°, one quarter of
a full revolution.
Acute Angle
• An angle less than 90° (90° is called a Right
Angle)
Obtuse Angle
• An obtuse angle is one which is more than 90°
but less than 180°
In other words, it is between a right angle and
a straight angle
Straight Angle
• An angle whose measure is 180. It is also a
line.
Reflex Angle
• A Reflex Angle is one which is more than 180°
but less than 360°
Circle
• A circle is a shape with all points the same
distance from its center. A circle is named by
its center.
One-to-One
A relationship wherein each point in a set of points is
mapped to exactly one other point.
Pre-image
The original figure before undergoing a transformation.
Image
The new, resulting figure after a transformation
Isometry
A transformation in which the preimage and image are
congruent.
Transformations are called RIGID if every
image is congruent to its preimage.
Rigid transformations can also be
referred to as an ISOMETRY.
Every segment is congruent to its image.
Which of the following are rigid
transformations? (Isometry)
Find the value of each variable, given
that the transformation is an isometry.

72
10
6 x3 y  2
x  12, y  4
Congruent
Figures are congruent if they have the same shape, size,
lines, and angles.
Similar Triangles
Triangles are similar if they have the same shape but
have different sizes.