Geometry, NAPX-I4-NC19, NAPX-I3-NC22

Question

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Worked Solution

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Variant 0

DifficultyLevel

619

Question

The square ABDCABDC is cut into two triangles along the diagonal ADAD.

Which of the following best describes triangle ABDABD?

Worked Solution

Triangle ABDABD is an isosceles triangle.

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/05/NAPX-I4-NC19.svg 170 indent3 vpad The square $ABDC$ is cut into two triangles along the diagonal $AD$. Which of the following best describes triangle $ABD$?
workedSolution
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2018/05/NAPX-I4-NC19-ans.svg 170 indent vpad {{{correctAnswer}}}
correctAnswer
Triangle $ABD$ is an isosceles triangle.

Answers

Is Correct?Answer
x

Triangle ABDABD is a scalene triangle.

✓

Triangle ABDABD is an isosceles triangle.

x

Triangle ABDABD is an equilateral triangle.

x

Triangle ABDABD is an obtuse triangle.

Variant 1

DifficultyLevel

618

Question

The rectangle ABCDABCD is cut into two triangles along the diagonal ACAC.

Which of the following best describes triangle ABCABC?

Worked Solution

Triangle ABCABC is a scalene triangle.

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/11/Geom_NAPX-I4-NC19_NAPX-I3-NC22_v1.svg 250 indent3 vpad The rectangle $ABCD$ is cut into two triangles along the diagonal $AC$. Which of the following best describes triangle $ABC$?
workedSolution
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/11/Geom_NAPX-I4-NC19_NAPX-I3-NC22_v1_ws.svg 250 indent vpad {{{correctAnswer}}}
correctAnswer
Triangle $ABC$ is a scalene triangle.

Answers

Is Correct?Answer
✓

Triangle ABCABC is a scalene triangle.

x

Triangle ABCABC is an isosceles triangle.

x

Triangle ABCABC is an equilateral triangle.

x

Triangle ABCABC is an obtuse angled triangle.

Variant 2

DifficultyLevel

620

Question

The regular pentagon ABCDEABCDE is cut in two along the line BEBE.

Which of the following best describes triangle AEBAEB?

Worked Solution

Triangle AEBAEB is an isosceles triangle.

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/11/Geom_NAPX-I4-NC19_NAPX-I3-NC22_v2.svg 190 indent3 vpad The regular pentagon $ABCDE$ is cut in two along the line $BE$. Which of the following best describes triangle $AEB$?
workedSolution
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/11/Geom_NAPX-I4-NC19_NAPX-I3-NC22_v2_ws.svg 190 indent vpad {{{correctAnswer}}}
correctAnswer
Triangle $AEB$ is an isosceles triangle.

Answers

Is Correct?Answer
x

Triangle AEBAEB is a scalene triangle.

x

Triangle AEBAEB is an acute angled triangle.

✓

Triangle AEBAEB is an isosceles triangle.

x

Triangle AEBAEB is an equilateral triangle.

Variant 3

DifficultyLevel

621

Question

The regular hexagon ABCDEFABCDEF is cut in two along the line DFDF.

Which of the following best describes triangle DEFDEF?

Worked Solution

Triangle DEFDEF is an isosceles triangle.

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/11/Geom_NAPX-I4-NC19_NAPX-I3-NC22_v3.svg 190 indent3 vpad The regular hexagon $ABCDEF$ is cut in two along the line $DF$. Which of the following best describes triangle $DEF$?
workedSolution
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/11/Geom_NAPX-I4-NC19_NAPX-I3-NC22_v3_ws.svg 110 indent2 vpad {{{correctAnswer}}}
correctAnswer
Triangle $DEF$ is an isosceles triangle.

Answers

Is Correct?Answer
x

Triangle DEFDEF is an equilateral triangle.

x

Triangle DEFDEF is an acute angled triangle.

x

Triangle DEFDEF is a scalene triangle.

✓

Triangle DEFDEF is an isosceles triangle.

Variant 4

DifficultyLevel

622

Question

The regular octagon ABCDEFGHABCDEFGH is cut in two along the line ACAC.

Which of the following best describes triangle ABCABC?

Worked Solution

Triangle ABCABC is an isosceles triangle.

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/11/Geom_NAPX-I4-NC19_NAPX-I3-NC22_v4.svg 250 indent3 vpad The regular octagon $ABCDEFGH$ is cut in two along the line $AC$. Which of the following best describes triangle $ABC$?
workedSolution
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/11/Geom_NAPX-I4-NC19_NAPX-I3-NC22_v4_ws.svg 210 indent2 vpad {{{correctAnswer}}}
correctAnswer
Triangle $ABC$ is an isosceles triangle.

Answers

Is Correct?Answer
✓

Triangle ABCABC is an isosceles triangle.

x

Triangle ABCABC is a scalene triangle.

x

Triangle ABCABC is an acute angled triangle.

x

Triangle ABCABC is an equilateral triangle.

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