Transformations
Translate (6,5)
3 units to the right
4 units down
(9,1)
If the central angle is 57 degrees what is it's arc
57 degrees
Find the Sine of the angle x with the values:
Opposing side:8
Adjacent side:6
Hypotenuse: 10
Sin x = .8
or
Sin x = 4/5
Whats the meaning of an Transversal angle?
What is a line that passes through two lines in the same plane at two distinct points.
What are parallel lines?
What are lines that never intersect.
Dilate (3,1) (5,1) (4,4)
Scale factor of 2
(6,2) (10,2) (8,8)
A circle's intercepted arc is 107 degrees. What is its inscribed angle?
53.5 degrees
Find the Cosine of the angle x with the values:
Opposing side:12
Adjacent side:9
Hypotenuse: 15
Cos x = .6
or
Cos x = 3/5
What are Exterior Angles
Determine if the lines are parallel or perpendicular or neither.
y=1/4x+6 y=1/4x-2
What are parallel lines
Dilate (3,3) (6,3) (3,6) (6,6)
Scale factor of 1/3
(1,1) (2,1) (1,2) (2,2)
A quadrilateral is inscribed in a circle.The 3 known angles are 75, 83 ,and 105. what is the unknown angle?
97 degrees
Find the Tangent of the angle x with the values:
Opposing side:24
Adjacent side:10
Hypotenuse: 26
Tan x = 2.4
or
Tan x = 12/5
What is an Alternate Interior Angle?
the angles which are inside the parallel lines and on alternate sides of the third line
Determine if the lines are perpendicular or parallel lines.
y=-3/4x+9/4 y=4/3x-5
What are Perpendicular lines
Reflect across the x-axis (-7,5) (-5,5) (-8,10)
(-7,-5) (-5,-5) (-8,-10)
An angle casts a secant and tangent line across a circle.
The external secant segment length is 4m the internal is 32m.
Find the tangent line length.
12 meters
The edge of a shadow cast by a tree is 10m the angle of elevation to the top of the tree is 45 degrees. How tall is the tree?
10m
5 types of angle relationships?
What are Complementary angles, Supplementary Angles, Adjacent angles, Linear Pair, and Vertical Angles?
Determine if the lines are Parallel, Perpendicular or neither.
X-2y=4 2x-4y=12
What are parallel Lines
Rotate 90 Degrees Counterclockwise
(27,-38)
(38,27)
There are two chords that intersect.
The length of part-1 in line A is 9 and 5 is
The length of part-1 in Line B is 18 and part-2 is unknown
Find the length of the unknown (Line-B Part-2)
3
A man stands on top of a building that is 50m tall. he looks down at another man at a 21 degree angle.
What is the distance between the two?
Distance = 130.25
(rounded to the nearest hundredth)
What is the Alternate angle theorem?
The alternate exterior angle theorem states that when two parallel lines are intersected by a transversal, then the exterior angles formed on either side of the transversal are equal.
What is the equation for the line that is perpendicular to 4x−3y=6 through point (4,6)
What is y=−3/4x+9 and y=4/3x−5