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

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