Transversals and Triangles
Transformations
Pythagorean Theorem
Systems of Equations
Linear Functions
100
A transversal is a line that intersects these types of lines.
What are parallel lines?
100
Which transformation is considered a "Slide"?
What is a Translation?
100
In the pythagorean theorem formula, which variable represents the hypotenuse?
C
100
What are the 3 solutions to a system of equations?
one solution, no solution, infinite solutions
100
By definition a linear function has a constant rate of change and each input has exactly_____________?
one output
200
True or False : Same Side Interior Angles are Congruent
False : Same side interior angles are supplementary
200
Point A, located at (2,5) is reflected over the y axis. What is the location of A'?
A' is located at (-2,5)
200
A right triangle has a leg that measures 2 inches and another leg that measures 5 inches. What is the length of the hypotenuse? (round to the nearest tenths place)
5.4 inches
200
At what point will the 2 lines intersect?
y = 2 + x
x = 5
(5,7)
200
What are 3 other terms for "slope"?
rate of change
unit rate
constant of proportionality
rise over run
300
True or False : The interior angle of a triangle and its adjacent exterior angle are complementary.
False : The interior angle of a triangle and its adjacent exterior angle are supplementary.
300
Describe the transformation below
(x,y) --> (x(-1),y) --> (y,x)
90 degree clockwise rotation or 270 degree counterclockwise rotation
300
The hypotenuse of a right triangle measures 10 inches and one of the legs measures 3 inches. What is the length of the missing leg? (round to the nearest tenths place)
9.5 inches
300
At which point will the lines intersect?
y = 3x + 2
5x = 20
(4,14)
300
The y-intercept of a linear equation represents the point at which the relation crosses the y-axis, but it also means _________________?
Initial value or starting point
400
The relationship between these angles in a transversal relationship is that they are in the same place but on different parallel lines.
What are corresponding angles?
400
Point A located at (3,6) was dilated and A' is located at (1,2) ,what was the scale factor.
The scale factor was 1/3
400
Does the following dimensions represent those of a right triangle? Show how you know.
13, 8, 5
No, because 89 does not equal 169
400
Based on the equations below, how many solutions would this system of equations have?
y = 3x + 2
y = 12/4x + 2
infinite solutions
400
What is the linear equation of the line that contains the following two points?
(2, 5) (3,3)
y = -2x + 9
500
The sum of these two interior angles of a triangle are congruent with the exterior angle that is opposite the two interior angles.
What are Remote Interior Angles?
500
Point C located at (-5,-2) was translated 3 units up and reflected across the x-axis, what is the location of C''?
C'' is located at (-5,-1)
500
What is the size of a television that is 32 inches tall and 40 inches wide?
51 inch television
500
At which point would the following lines intersect?
y = 2x + 5
y = 3x + 7
(-2,1)
500
What is the linear equation of the line that contains the point (-4, 1) and m = 4
y = 4x + 17
600
If the m<B is 87 degrees and m<A is 39 degrees, what is the m<X?
m<x = 126 degrees
600
Point B located at (-4, 2) is rotated 270 degrees counterclockwise and dilated with a scale factor of 3. What is the location of B''?
C'' is located at (6,12)
600
David's gutters are 12 feet high and he was using a 15 foot ladder to clean them. How far away from the base of the house does the ladder need to be for David to clean his gutters?
9 feet
600
At what point will the following lines intersect?
y = 5x + 11
x = 3y + 9
(-3,-13)
600
What is the linear equation that represents this line?
y = -x + 3 or y = -1x + 3
700
True or False : The m<2 is congruent to m<8 because they are alternate interior angles.
False : m<2 and m<8 are congruent because they are alternate exterior angles.
700
What type of transformation took place? Explain how you know.
Translation, because the only thing that changed between the pre-image and the image was the location.
700
If Point 1 is located at (5,9) and Point 2 is located at (-2,-5), what is the distance between the 2 points. (Round to the nearest tenths place)
15.7
700
At what point will the following lines intersect?
-2x+y = 7
x = y + 2
(-9,-11)
700
What is the linear equation that represents this line?
y = 3x + 2
800
if m<3 = 29 degrees, what is the measurement of <2?
m<2 = 151 degrees
800
Describe the series of transformations that occurred below
(x,y) --> (x(-1), y(-1)) --> (x,y)'
(x,y)' --> (x-2, y+1) --> (x,y)''
180 degree rotation , then translated left 2 and up 1
800
Line segment AB has endpoints at (1,3) and (4,7). Line segment CD has endpoints at (-1,-3) and (-4,-7). How much larger is AB than CD?
AB is not larger, they are the same size.
800
At what point will the following two lines intersect?
2x + 3y = 12
5x + 9y = 15
(21,-10)
800
Jason bought a 6 pack of sodas at the gas station for $4.50. Terry bought a 12 pack of sodas from the grocery story for $8.64. Which purchase has the lowest unit rate and by how much?
Terry's purchase has the lowest unit rate by 3 cents per can.
900
If m<z = 90 degrees and m<y = 143 degrees, what is the m<x
m<x = 127 degrees
900
****** DAILY DOUBLE ******
The image A'' is located at (10,6). A was rotated 90 degrees counterclockwise and dilated with a scale factor of 2. What is the location of the pre-image?
A was located at (3,-5)
900
**** DAILY DOUBLE *****
David has a television that is 20 inches tall and 35 inches wide. Derrick has a television that is 30 inches tall and 25 inches wide. Who has the larger television? How much larger is one television than the other? (round your values to the nearest tenths place)
David's television is larger (40.3 inches) than Derrick's television (39.1 inches). David's television is 1.2 inches larger than Derrick's television.
900
A school was selling student tickets and adult tickets to a play. On the first day they sold 20 adult tickets and 50 student tickets and made $550. On the second day they sold 72 student tickets and 17 adult tickets and made $674. What is the price of student and adult tickets?
student tickets : $7
adult tickets : $10
900
The graph represents David walking home from school. Jason uses the equation y = 2x - 3, where x represents the number of miles walked per hour. Who is walking at a faster rate, David or Jason and by how much?
Neither is walking faster, they're walking at the same rate.
1000
If m<8 = 2x - 9 and m<3 = x, what is m<6?
m<6 = 63 degrees
1000
Point A located at (2,7) was translated left 2 units and down 6 units, then it was rotated 180 degrees, it was then reflected over the x axis and lastly it was dilated with a scale factor of 5. What is the location of A''''?
A'''' is located at (0,5)
1000
Lisa wanted to go to the mall, but traffic was backed up on the highway, so she went the street way around. She went south 12 miles and west 5 miles. When she was done shopping, the traffic had cleared up so she took the straight shot on the highway back home. How many miles did Lisa save by taking the highway?
Lisa save 4 miles by taking the highway.
1000
Keisha needed a DJ for her sweet 16 birthday party. DJ 1 charges $25 per hour with a $100 deposit. DJ 2 charges $50 per hour with a $25 deposit? At how many hours would the cost of using either DJ be the same?
At 3 hours the cost of both DJs would be $175.
1000
What is the equation that represents the blue line?
What is the equation that represents the green line?
What is the solution to this system of equations?
blue line : y = -3x - 3
green line : y = 4x + 4
solution : (-1,0)