Geometry, NAPX-I4-CA20, NAPX-I3-CA28

Question

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Worked Solution

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Variant 0

DifficultyLevel

622

Question

Lines ABAB and CDCD are parallel.

Line EFEF intersects lines ABAB and CDCD as shown.



Which pair of angles are equal?

Worked Solution

∠\angleCQECQE and ∠\angleFPBFPB

(Alternate angles)

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Lines $AB$ and $CD$ are parallel. Line $EF$ intersects lines $AB$ and $CD$ as shown.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/04/NAPX-I4-CA20.svg 220 indent3 vpad
Which pair of angles are equal?
workedSolution
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/04/NAPX-I4-CA20ans.svg 220 indent vpad {{{correctAnswer}}} (Alternate angles)
correctAnswer
$\angle$$CQE$ and $\angle$$FPB$

Answers

Is Correct?Answer
x

∠\angleEPBEPB and ∠\angleEPAEPA

x

∠\angleCQECQE and ∠\angleAPFAPF

x

∠\angleFQDFQD and ∠\angleFQCFQC

✓

∠\angleCQECQE and ∠\angleFPBFPB

Variant 1

DifficultyLevel

623

Question

Lines ABAB and CDCD are parallel.

Line EFEF intersects lines ABAB and CDCD as shown.



Which pair of angles are equal?

Worked Solution

∠\angleDQEDQE and ∠\angleFPAFPA

(Alternate angles)

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Lines $AB$ and $CD$ are parallel. Line $EF$ intersects lines $AB$ and $CD$ as shown.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/10/Geom_NAPX-I4-CA20_NAPX-I3-CA28_v1.svg 220 indent3 vpad
Which pair of angles are equal?
workedSolution
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/10/Geom_NAPX-I4-CA20_NAPX-I3-CA28_v1_ws.svg 220 indent vpad {{{correctAnswer}}} (Alternate angles)
correctAnswer
$\angle$$DQE$ and $\angle$$FPA$

Answers

Is Correct?Answer
✓

∠\angleDQEDQE and ∠\angleFPAFPA

x

∠\angleEPBEPB and ∠\angleEPAEPA

x

∠\angleCQECQE and ∠\angleAPFAPF

x

∠\angleFQDFQD and ∠\angleFQCFQC

Variant 2

DifficultyLevel

624

Question

Lines ABAB and CDCD are parallel.

Line XYXY intersects lines ABAB and CDCD as shown.



Which pair of angles are equal?

Worked Solution

∠\angleAMYAMY and ∠\angleDNXD NX

(Alternate angles)

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Lines $AB$ and $CD$ are parallel. Line $XY$ intersects lines $AB$ and $CD$ as shown.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/10/Geom_NAPX-I4-CA20_NAPX-I3-CA28_v2.svg 220 indent3 vpad
Which pair of angles are equal?
workedSolution
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/10/Geom_NAPX-I4-CA20_NAPX-I3-CA28_v2_ws.svg 220 indent vpad {{{correctAnswer}}} (Alternate angles)
correctAnswer
$\angle$$AMY$ and $\angle$$D NX$

Answers

Is Correct?Answer
x

∠\angleDNXDNX and ∠\angleBMYBMY

✓

∠\angleAMYAMY and ∠\angleDNXD NX

x

∠\angleXMAXMA and ∠\angleBMXBMX

x

∠\angleAMNAMN and ∠\angleCNXCNX

Variant 3

DifficultyLevel

624

Question

Lines ABAB and CDCD are parallel.

Line XYXY intersects lines ABAB and CDCD as shown.



Which pair of angles are equal?

Worked Solution

∠\angleBMYBMY and ∠\angleCNXCNX

(Alternate angles)

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Lines $AB$ and $CD$ are parallel. Line $XY$ intersects lines $AB$ and $CD$ as shown.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/10/Geom_NAPX-I4-CA20_NAPX-I3-CA28_v2.svg 220 indent3 vpad
Which pair of angles are equal?
workedSolution
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/10/Geom_NAPX-I4-CA20_NAPX-I3-CA28_v3_ws.svg 220 indent vpad {{{correctAnswer}}} (Alternate angles)
correctAnswer
$\angle$$BMY$ and $\angle$$CNX$

Answers

Is Correct?Answer
x

∠\angleAMNAMN and ∠\angleCNXCNX

x

∠\angleAMYAMY and ∠\angleDNYDNY

✓

∠\angleBMYBMY and ∠\angleCNXCNX

x

∠\angleBMNBMN and ∠\angleCNYCNY

Variant 4

DifficultyLevel

625

Question

Lines EFEF and GHGH are parallel.

Line XYXY intersects lines EFEF and GHGH as shown.



Which pair of angles are equal?

Worked Solution

∠\angleXNHXNH and ∠\angleYMEYME

(Alternate angles)

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Lines $EF$ and $GH$ are parallel. Line $XY$ intersects lines $EF$ and $GH$ as shown.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/10/Geom_NAPX-I4-CA20_NAPX-I3-CA28_v4.svg 220 indent3 vpad
Which pair of angles are equal?
workedSolution
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/10/Geom_NAPX-I4-CA20_NAPX-I3-CA28_v4_ws.svg 220 indent vpad {{{correctAnswer}}} (Alternate angles)
correctAnswer
$\angle$$XNH$ and $\angle$$YME$

Answers

Is Correct?Answer
x

∠\angleEMXEMX and ∠\angleHNXHNX

✓

∠\angleXNHXNH and ∠\angleYMEYME

x

∠\angleEMYEMY and ∠\angleGNXGNX

x

∠\angleHNYHNY and ∠\angleFMXFMX

Variant 5

DifficultyLevel

627

Question

Lines EFEF and GHGH are parallel.

Line XYXY intersects lines EFEF and GHGH as shown.



Which pair of angles are equal?

Worked Solution

∠\angleFMNFMN and ∠\angleGNMGNM

(Alternate angles)

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Lines $EF$ and $GH$ are parallel. Line $XY$ intersects lines $EF$ and $GH$ as shown.
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/10/Geom_NAPX-I4-CA20_NAPX-I3-CA28_v4.svg 220 indent3 vpad
Which pair of angles are equal?
workedSolution
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/10/Geom_NAPX-I4-CA20_NAPX-I3-CA28_v5_ws.svg 220 indent vpad {{{correctAnswer}}} (Alternate angles)
correctAnswer
$\angle$$FMN$ and $\angle$$GNM$

Answers

Is Correct?Answer
✓

∠\angleFMNFMN and ∠\angleGNMGNM

x

∠\angleXNHXNH and ∠\angleYMFYMF

x

∠\angleEMYEMY and ∠\angleGNXGNX

x

∠\angleHNYHNY and ∠\angleFMXFMX

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