Parallel/Perp. Lines
Partitioning a line segment
Distance between points/ Area and Perimeter
Midpoint
Line through a given point
100
Name a line that is parallel to Y= 5x + 2
What is Y= 5x+....
100
What does "Partition" mean?
Partition is to split a line into parts or even sections
100
If I have a right triangle with legs 6cm and 8cm long, what is the length of the hypotenuse?
Hyp. is 10cm long
100
Define a midpoint
A point in the middle of a segment that will divide the segment in half; into two equal parts
100
Find the equation of a line that will go through the point (-3,5) and will be PARALLEL to Y= -4x+3
What is Y= -4x - 17
200
Identify a line that is Perpendicular to Y= 4x-6
What is Y= -1/4x +...
200
Find the point that partitions the line segment with endpoints at (-3, 4) and (7,6) with the given ratio of 1:1.
Point is (2, 5)
200
Find the area and perimeter of a Right triangle with legs at 5in. and 12in.
Area= 1/2(b)(h)=1/2(12)(5)=30 inches squared Perimeter= 5 + 12 + 13= 30 inches
200
Find the midpoint between point A (5, 4) and point B (7, -1)
Midpoint= (6, 3/2)
200
Find the equation of a line that will go through the given point (2,-2) and will be PARALLEL to Y= -2x-4.
What is Y=-2x + 2
300
Explain the difference between perpendicular and parallel lines?
Parallel lines have the SAME SLOPE and Perpendicular lines have OPPOSITE RECIPROCAL SLOPES
300
Find the point that partitions the segment with the endpoints (-9, 3) and (1,8) with the given ratio of 2:3.
What is (-5, 5)
300
Use the distance formula to find the distance between these two points: (-4, 7) and (3, -1)
What is SQRT(113)
300
Find the midpoint between point P (-8, -3) and point Q (-10, 5)
Midpoint= (-9, 1)
300
Find the equation of a line through the given point (2, -5) that will be PERPENDICULAR to Y= -1/2x - 1
What is Y= 2x - 9
400
Is Y= -2x-5 Parallel to 2x-y=5? EXPLAIN
NO: y=2x-5 is not parallel to Y=-2x-5 because the slopes are not the same
400
Find the coordinates of point P that lies on the line segment MQ where M(-9, -5) and Q(3,5) and partitions the segment at a ratio of 1 to 1.
What is (-3,0)
400
Find the area of a trapezoid with a height of 8in., base 1 at 6 in. and base 2 at 1 foot.
Area= 1/2(h)(b1+b2)= 1/2(8)(6+12)=72 inches squared
400
Kiara and Aryana both live on 6th street(Y). Kiara lives at the corner of 8th Ave.(X) and Aryana lives at the corner of 4th Ave. (X) Every Saturday they go see a movie at the Theatre that is located midway between them. Where is the theatre located?
Theatre is at (6th Ave., 6th St.)
400
Find the equation of a line Parallel to Y= -4x + 5 through the point (-5,2)
What is Y= -4x - 18
500
Is Y=1/5x+4 Perpendicular to 20x+4y=28? EXPLAIN
Yes: Y=1/5x+4 is perpendicular to Y=-5x+7 because the slopes are opposite reciprocals
500
Find the coordinates of point P, that lies 2/3 of the way on the directed line segment AB where A(-2,5) and B(4,8)
What is (2,7)
500
If you place a coordinate-plane over a map of the United States, Nashville is located at (0, 6) and New York City is located at (10, 12). According to the coordinate-plane, what is the distance between Nashville and New York City? Answer should be a simplified radical.
What is 2 sqrt 34
500
Brittany works at a coffee shop on 7th Ave. and 11th Street. Tucker works at Chuck'E'Cheeses on the corner of 9th Ave. and 3rd Street. The Mall is located midway between them. What are the coordinates of the Mall?
Mall is located on (8th Ave., 7th Street)
500
Find the line Perpendicular to Y= 2x - 5 that will go through the point (2, -5)
What is Y= 1/2x -6
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