and the transversal 3 line segments ab and cd are parallel. · 2020-04-28 · investigate angles...
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![Page 1: and the transversal 3 Line segments AB and CD are parallel. · 2020-04-28 · Investigate angles between parallel lines and the transversal 1 For each diagram, draw a line segment](https://reader033.vdocuments.site/reader033/viewer/2022060406/5f0f88a87e708231d444a35a/html5/thumbnails/1.jpg)
3 LinesegmentsABandCDareparallel.
LinesegmentEFisatransversalthatintersectsthelinesegmentsatpoints
XandYrespectively.
a) Measurethesizeofeachangle.
AXF=
AXE=
CYF =
CYE=
BXF =
BXE=
DYF=
DYE=
Compareanswerswithapartner.
Whatdoyounotice?
b) Completethesentences.
AngleAXEisalternatetoangle
AngleAXEiscorrespondingtoangle
AngleBXFiscorrespondingtoangle
AngleCYFisalternatetoangle
Investigateangles betweenparallel lines and the transversal
1 Foreachdiagram,drawalinesegmentthatisparalleltoABandgoes
throughpointC.
Drawonthediagramstoindicatethatthelinesareparallel.
a) c)
b) d)
2 LinesegmentsMNandPQareparallel.
Drawatransversalthatcutsthroughtheparallellinesandgoesthrough
pointR.
©WhiteRoseMaths2020
A B
C
B
A
C
A
B
C
A
BC
M P
N Q
R
F
X
Y
E
A B
C D
![Page 2: and the transversal 3 Line segments AB and CD are parallel. · 2020-04-28 · Investigate angles between parallel lines and the transversal 1 For each diagram, draw a line segment](https://reader033.vdocuments.site/reader033/viewer/2022060406/5f0f88a87e708231d444a35a/html5/thumbnails/2.jpg)
5
a) Completethesentenceintwoways.
Linesegments and areparallel.
Linesegments and areparallel.
b) Completethesentence.
GJisa thatintersectsthelinesegments
and
c) Identifyfourpairsofalternateangles.
d) Identifyfourpairsofcorrespondingangles.
e)
DoyouagreewithDora?
Explainyouranswer.
4 LinesegmentsQRandSTareparallel.
LinesegmentUVisatransversalthatintersectsthelinesegmentsat
pointsXandYrespectively.
a) Drawadiagramtorepresentthis.
Compareyourdiagramwithapartner’sdiagram.
Dotheylookthesame?Doesitmatter?Why?
b) Eightanglesareformed.Measurethesizeofeachangleandlabel
themonthediagram.
Compareanswerswithapartner.
Whatisthesameandwhatisdifferent?
c) Identifytwopairsofalternateanglesandtwopairsof
correspondingangles.
Whatdoyounotice? ©WhiteRoseMaths2020
Angles GHO and ALN are alternate angles.
A B
D
H
E
I
L M
O P
C
G
F
J
K N