coordinate form 2
DESCRIPTION
chapter 8 slidesTRANSCRIPT
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LEARNING OUTCOMES:(i) Find the distance between two points with: (a) common y-coordinates(b) common x-coordinates
(ii) Find the distance between two points using Pythagoras theorem
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DO YOU KNOW WHAT ISDISTANCE ?LENGTHS BETWEEN TWO POINTS
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CD = 1 (- 6) = 7 units1234D( 1, 2)C( -6, 2)567Difference between the y coordinates ( the larger value minus the smaller value)If y-coordinates are the same, the distance is the difference between their x coordinates -2-4-62
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AB = 6 -1 = 5 units1234A( 2, 1)B( 2, 6)5If x-coordinates are the same, the distance is the difference between their y coordinates Difference between the x coordinates ( the larger value minus the smaller value)26442
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1234 P( 2, 1)Q( 8, 9)52687654321Draw a right angle triangle joining point P and point Q.
R2. Label the point of intersection of the two line as R3. Count/ calculate the number of units for length PR and QR
Find the distance between point P(2,1) and point Q(8,9)
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P( 2, 1)Q( 8, 9)4. By using Pythagaros theorem, calculate the length of PQ.R68
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B( -2,3 )A ( 6, 9 )By using Pythagaros theorem, calculate the length of PQ.9-3=66-(-2)=8
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By using Pythagaros theorem, find the distance between point A( , ) and point B( , ).9542
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By using Pythagaros theorem, find the distance between point P( -1, -4 ) and point Q( -6 , 8 ).
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TOPIC : COORDINATES
SUBTOPIC : MIDPOINTS
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LEARNING OUTCOMES:Identify the midpoint of a straight line joining two points.Find the coordinates of the midpoints of a straight line joining two points with:a. common y- coordinates.b. common x- coordinates.Find the coordinates of the midpoints of the line joining two points.Pose and solve problems involving midpoints.
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UNDERSTAND & USE THE CONCEPT OF MIDPOINTS
IDENTIFY THE MIDPOINTS
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10 KM5 km5 km*The tree is located in the middle of the drummer and the house. *What is the distance between the drummer and the tree?*What is the distance between the house and the tree?
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10 KM5 km5 kmMIDPOINTThe midpoint is the point that divides a line into two equal parts
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LETS IDENTIFY THE MIDPOINTS0 unit2 units4 units6 units8 units10 unitsThe midpoint between drummer and Mr BThe midpoint between drummer and Dancing manmiceMr BThe midpoint between the mice and the treeHouse
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The midpoint of AB = (3 , 4 )4A( 3, 0)B( 3, 8 )4When the x-coordinates of the two points are the same, then the x- coordinate of the midpoint remains the same.The y coordinate of the midpoint = 8+0 = 4 2264428M ( 3 , 4 )
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The midpoint of PQ = (-2,-2 )5Q( -2, -7)P( -2, 3 )5When the x-coordinates of the two points are the same, then the x- coordinate of the midpoint remains the same.The y coordinate of the midpoint = 3+(-7) = -2 222-4-2- 2M ( -2 , -2 )-6
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The midpoint of PQ = = ( 5, 6 )3Q( 8, 6)P( 2, 6)3X coordinate of the midpoints = 2 + 8 = 5 2 When the y-coordinates of the two ponits are the same, the y- coordinate of the midpoint remains the same4268
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The midpoint of PQ = = ( -1, 2 )3B( 2, 2)A( -4, 2)3X coordinate of the midpoints = -4 + 2 = -1 2 When the y-coordinates of the two ponits are the same, the y- coordinate of the midpoint remains the same-2 2 4 -4
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COORDINATES OF THE MIDPOINT OF A LINE JOINING TWO POINTSQ( 11, 8 )P( 1, 2 )8 + 2 = 5 21 + 11 = 6 256M(6, 5)
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MIDPOINT OF A LINE JOINING TWO POINTS
MIDPOINT =
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P( 2, 1)Q( 8, 7) MFind the midpoint of PQ?Midpoint PQ=YX0
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Based onthe diagram:1.State the midpoint of AB.24 AR( 5,-3)264-2-4-2-4 C B y x8 QAnswers:
2.C is themidpoint of AD, statethecoordinates of D.3.Q is the midpoint ofPR, state the coordinates of P.1. (3, 2)2. D(1, 5)3. (-2, 1)
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Answers:
Based onthe diagram:1.State the midpoint of ABCB2.If ABCD formsa rectangle,write the coordinates of D.3.Q is themidpoint of PR, state thecoordinates of P.1. a. (4,1) b. (4,3)
2. D(7,5) 3. P(-1,-1)
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In the diagram, B is the midpoint of the straight line AC.What is the value of k?Answers:k = -2
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The diagram showsa right-angled triangleABC.
The sides ABand AC are parallelto the y-axis and x-axis respectively.
The length of ABis 6 units.
If M is the midpoint of BC,
Find the value of p.B y xC( 3,1)A( 1, 1)M( 2,p )0Answers:p = 4
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CREATED BY:CHEONG SHU LINCHYE SOO FUENWAN ZAKIAH WAN MUSTAPHAZAIMIRA JAILANIZARINA MAAROF
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