Download Unit 1 Review!

Unit 2 Review!
Objective:
to review the concept of congruence
Common Core State Standards:
8.G.1; 8.G.2; 8.G.5; 8.G.6; 8.G.7
Types of Angles Matching!
Transversal
Exterior angles that are on opposite sides of
the transversal (equal to each other)
Alt Int. Angles
Angles in the same position with respect
to the lines and transversal (equal to each
other)
Alt Ext. Angles
Angles that are opposite from each other
formed by the intersection of 2 lines
(equal to each other)
Corr. Angles
Vertical Angles
A line that cuts across two or more
(usually parallel) lines
Interior angles that are on opposite sides
of the transversal (equal to each other)
All About Triangles!
The sum of the measures of the interior angles of a triangle is 180°
y°
x° + y° + z° = 180°
x°
z°
The measure of an exterior angle of a triangle is equal to the sum of the measures of its two
remote interior angles.
y°
x°
x° + y° = p°
p°
Pythagorean Theorem: In a right triangle, the square of the lengths of the hypotenuse c is
equal to the sum of the squares of the lengths of the legs a and b.
a
c
a2 + b2 = c2
b
Midpoint & Distance
on the Coordinate Plane
Midpoint
 x1  x2 y1  y2 
M
,

2 
 2
Distance
d  ( x2  x1 )  ( y2  y1 ) .
2
2
Transformations
The four main Transformations are:
Translation (Slide)
Reflection (Flip)
Rotation (Turn)
Dilation (Scale)
A translation is a transformation that slides a
figure in any direction.
Translation Rule:
Ta,b (x, y) = (x + a, y + b)
Example
T0,4 (2, 3) = (2 + 0, 3 + 4) = (2, 7)
A rotation is a transformation that turns a figure
about a fixed point called the center of rotation.
The measure of the rotation is the angle of
rotation.
Rotation Rules:
A reflection is a transformation that flips a figure
over a line of reflection. The distance from a point
to the line of reflection is the same as the
distance from the point's image to the line of
reflection.
Reflection Rules:
Y axis: (x, y)  (-x, y)
X-Axis: (x, y)  (x, -y)
Y=X: (x, y)  (y, x)
Y=-X: (x, y)  (-y, -x)
A dilation is a transformation that makes a figure
larger or smaller. This means the two figures are
similar (same shape/different size).
A scale factor is the ratio of the side lengths of
the image to the corresponding side lengths of the
original figure.
Dilation Rule:
(x,y)  (kx, ky)
k>1: enlargement
0<k<1: reduction
Let’s Practice!
MAP PLUS BOOKLET
QUESTIONS
#8, 18, 34, 36, 43, 44, 56, 64
Exit Ticket
After reviewing and practicing Unit 2, rate
yourself on how you feel about the same
questions in the MAP Plus Book.