Transformations
What transformation makes a figure slide without turning?
Translation
How many degrees are in every triangle?
180°
An exterior angle equals the sum of how many interior angles?
The two remote interior angles. (the furthest angles)
How many degrees is a line?
180°
A figure turns around a point.
Rotation
What transformation flips a figure over a line?
Reflection
Find the missing angle.
60°, 70°, ?
50°
$200
Remote interior angles are 50° and 70°.
Find the exterior angle.
120°
When two parallel lines are cut by a transversal, corresponding angles are...
Congruent
Name the 4 transformations
Translation, Reflections, Rotation and Dilation
When you rotate a shape 270 Degrees, How many quadrants should you move?
3 Quadrants
One angle is 80°.
Another angle is 35°.
Find the third angle.
65°
Exterior angle =110°
One remote interior angle =40°
Find the other.
70°
One same-side interior angle is 105°.
Find the other.
75°
When doing a dilation of an image and the scale factor is 5 what happens to the new image?
It gets 5 times as big.
A shape moves 5 units right and 2 units down. Its original Coordinates are (3,2)
What are the new coordinates?
(8,0)
Can a triangle have interior angle measures of 23°, 71°, and 97°? Explain
These angle measures cannot be the interior angle measures of a triangle. The sum of these angle measures is 191°. The sum of the interior angle of any triangle will always add up to exactly 180°
Remote interior angles are 65° and x.
Exterior angle is 120°.
Find x.
55°
What are the measures of ∠4 and ∠5.
∠4=99°
∠5= 81°
Graph the dilated image of triangle ABC using a scale factor of ¼ and the origin as the center of dilation.
Pre image
A(0,4) B(4,-4) C(-4,4)
What are the new coordinates?
A' (0,1) B' (1,-1) C' (-1,-1)
A triangle is reflected across the y-axis.
If the point is (4,2), what is the new coordinate?
(-4,2)
A triangle has these 3 angles:
47°,53° and 4p
what is the value of p?
p= 20°
Exterior angle is 5x.
Remote interior angles are 40° and 35°.
Find x.
5x=75
x=15
In the figure, a and b are parallel lines. What is the value of x?
x=109°
Name the rule..
Original Points:
New Points:
(x,y)→(x+4,y+3)