Algebra, NAP_10095

Question

{{{question}}}

Worked Solution

{{{workedSolution}}}

Variant 0

DifficultyLevel

469

Question

Autumn is drawing parallelograms on a number plane without crossing the sides of any other parallelograms.

She has 3 more points to join to form another parallelogram.

Two of the points are ( 3 , 2 ) and ( 8 , 4 ).

Which of the following is the third point Autumn must connect?

Worked Solution

By connecting the points ( 3 , 2 ), ( 5 , 4 ) and ( 8 , 4 ) we obtain another parallelogram.

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Autumn is drawing parallelograms on a number plane without crossing the sides of any other parallelograms. She has 3 more points to join to form another parallelogram. sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/Algebra-NAP_10095v0q-min.svg 450 indent2 vpad Two of the points are ( 3 , 2 ) and ( 8 , 4 ). Which of the following is the third point Autumn must connect?
workedSolution
By connecting the points ( 3 , 2 ), **{{correctAnswer}}** and ( 8 , 4 ) we obtain another parallelogram. sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/Algebra-NAP_10095v0-min.svg 450 indent vpad
correctAnswer
( 5 , 4 )

Answers

Is Correct?Answer
✓

( 5 , 4 )

x

( 4 , 5 )

x

( 4 , 4 )

x

( 7 , 0 )

Variant 1

DifficultyLevel

471

Question

Summer is drawing parallelograms on a number plane without crossing the sides of any other parallelograms.

She has 3 more points to join to form another parallelogram.

Two of the points are ( 4 , 0 ) and ( 9 , 2 ).

Which of the following is the third point Summer must connect?

Worked Solution

By connecting the points ( 4 , 0 ), ( 7 , 0 ) and ( 9 , 2 ) we obtain another parallelogram.

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Summer is drawing parallelograms on a number plane without crossing the sides of any other parallelograms. She has 3 more points to join to form another parallelogram. sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/Algebra-NAP_10095v0q-min.svg 450 indent2 vpad Two of the points are ( 4 , 0 ) and ( 9 , 2 ). Which of the following is the third point Summer must connect?
workedSolution
By connecting the points ( 4 , 0 ), **{{correctAnswer}}** and ( 9 , 2 ) we obtain another parallelogram. sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/Algebra-NAP_10095v1ws-min.svg 450 indent vpad
correctAnswer
( 7 , 0 )

Answers

Is Correct?Answer
x

( 0 , 7 )

✓

( 7 , 0 )

x

( 8 , 0 )

x

( 5 , 4 )

Variant 2

DifficultyLevel

473

Question

Winter is drawing parallelograms on a number plane without crossing the sides of any other parallelograms.

She has 3 more points to join to form another parallelogram.

Two of the points are ( 3 , 1 ) and ( 7 , 3 ).

Which of the following is the third point Winter must connect?

Worked Solution

By connecting the points ( 3 , 1 ), ( 6 , 1 ) and ( 7 , 3 ) we obtain another parallelogram.

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Winter is drawing parallelograms on a number plane without crossing the sides of any other parallelograms. She has 3 more points to join to form another parallelogram. sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/Algebra-NAP_10095v2q.svg 450 indent2 vpad Two of the points are ( 3 , 1 ) and ( 7 , 3 ). Which of the following is the third point Winter must connect?
workedSolution
By connecting the points ( 3 , 1 ), **{{correctAnswer}}** and ( 7 , 3 ) we obtain another parallelogram. sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/Algebra-NAP_10095v2ws.svg 450 indent vpad
correctAnswer
( 6 , 1 )

Answers

Is Correct?Answer
x

( 5 , 1 )

x

( 1 , 6 )

✓

( 6 , 1 )

x

( 3 , 5 )

Variant 3

DifficultyLevel

475

Question

April is drawing parallelograms on a number plane without crossing the sides of any other parallelograms.

She has 3 more points to join to form another parallelogram.

Two of the points are ( 2 , 3 ) and ( 6 , 5 ).

Which of the following is the third point April must connect?

Worked Solution

By connecting the points ( 2 , 3 ), ( 4 , 5 ) and ( 6 , 5 ) we obtain another parallelogram.

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
April is drawing parallelograms on a number plane without crossing the sides of any other parallelograms. She has 3 more points to join to form another parallelogram. sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/Algebra-NAP_10095v2q.svg 450 indent2 vpad Two of the points are ( 2 , 3 ) and ( 6 , 5 ). Which of the following is the third point April must connect?
workedSolution
By connecting the points ( 2 , 3 ), **{{correctAnswer}}** and ( 6 , 5 ) we obtain another parallelogram. sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/Algebra-NAP_10095v3ws-min.svg 450 indent vpad
correctAnswer
( 4 , 5 )

Answers

Is Correct?Answer
x

( 6 , 1 )

x

( 5 , 4 )

x

( 3 , 5 )

✓

( 4 , 5 )

Variant 4

DifficultyLevel

477

Question

Didier is drawing rectangles on a number plane without crossing the sides of any other rectangles .

He has 3 more points to join to form another rectangle.

Two of the points are ( −- 2 , 1 ) and ( 1 , 2 ).

Which of the following is the third point Didier must connect?

Worked Solution

By connecting the points ( −- 2 , 1 ), ( 0 , 3 ) and ( 1 , 2 ) we obtain another rectangle.

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Didier is drawing rectangles on a number plane without crossing the sides of any other rectangles . He has 3 more points to join to form another rectangle. sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/Algebra-NAP_10095v4-5q-min.svg 420 indent2 vpad Two of the points are ( $-$ 2 , 1 ) and ( 1 , 2 ). Which of the following is the third point Didier must connect?
workedSolution
By connecting the points ( $-$ 2 , 1 ), **{{correctAnswer}}** and ( 1 , 2 ) we obtain another rectangle. sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/Algebra-NAP_10095v4ws-min.svg 420 indent vpad
correctAnswer
( 0 , 3 )

Answers

Is Correct?Answer
✓

( 0 , 3 )

x

(−- 1 , 2 )

x

( −- 2 , 4 )

x

( 0 , −- 4 )

Variant 5

DifficultyLevel

479

Question

Marley is drawing rectangles on a number plane without crossing the sides of any other rectangles .

She has 3 more points to join to form another rectangle.

Two of the points are ( −- 3 , −- 2 ) and ( 2 , −- 3 ).

Which of the following is the third point Marley must connect?

Worked Solution

By connecting the points ( −- 3 , −- 2 ), ( 0 , −- 5 ) and ( 2 , −- 3 ) we obtain another rectangle.

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Marley is drawing rectangles on a number plane without crossing the sides of any other rectangles . She has 3 more points to join to form another rectangle. sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/Algebra-NAP_10095v4-5q-min.svg 420 indent2 vpad Two of the points are ( $-$ 3 , $-$ 2 ) and ( 2 , $-$ 3 ). Which of the following is the third point Marley must connect?
workedSolution
By connecting the points ( $-$ 3 , $-$ 2 ), **{{correctAnswer}}** and ( 2 , $-$ 3 ) we obtain another rectangle. sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/Algebra-NAP_10095v5ws-min.svg 420 indent vpad
correctAnswer
( 0 , $-$ 5 )

Answers

Is Correct?Answer
x

( −- 1 , −- 4 )

✓

( 0 , −- 5 )

x

( −- 1 , −- 3 )

x

( 0 , 3 )

Variant 6

DifficultyLevel

481

Question

Bellamy is drawing parallelograms on a number plane without crossing the sides of any other parallelograms.

He has 3 more points to join to form another parallelogram.

Two of the points are ( −- 4 , −- 1 ) and ( 2 , 0 ).

Which of the following is the third point Bellamy must connect?

Worked Solution

By connecting the points ( −- 4 , −- 1 ), ( −- 1 , −- 2 ) and ( 2 , 0 ) we obtain another parallelogram.

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Bellamy is drawing parallelograms on a number plane without crossing the sides of any other parallelograms. He has 3 more points to join to form another parallelogram. sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/Algebra-NAP_10095v6q-min.svg 420 indent2 vpad Two of the points are ( $-$ 4 , $-$ 1 ) and ( 2 , 0 ). Which of the following is the third point Bellamy must connect?
workedSolution
By connecting the points ( $-$ 4 , $-$ 1 ), **{{correctAnswer}}** and ( 2 , 0 ) we obtain another parallelogram. sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/Algebra-NAP_10095v6ws-min.svg 420 indent vpad
correctAnswer
( $-$ 1 , $-$ 2 )

Answers

Is Correct?Answer
x

( −- 2 , −- 1 )

x

( −- 2 , −- 1 )

✓

( −- 1 , −- 2 )

x

( −- 2 , −- 2 )

Variant 7

DifficultyLevel

485

Question

Bridgette is drawing parallelograms on a number plane without crossing the sides of any other parallelograms.

She has 3 more points to join to form another parallelogram.

Two of the points are ( −- 4 , −- 1 ) and ( −- 1 , 4 ).

Which of the following is the third point Bridgette must connect?

Worked Solution

By connecting the points ( −- 4 , −- 1 ), ( −- 4 , 2 ) and ( −- 1 , 4 ) we obtain another parallelogram.

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Bridgette is drawing parallelograms on a number plane without crossing the sides of any other parallelograms. She has 3 more points to join to form another parallelogram. sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/Algebra-NAP_10095v7ws-min.svg 420 indent2 vpad Two of the points are ( $-$ 4 , $-$ 1 ) and ( $-$ 1 , 4 ). Which of the following is the third point Bridgette must connect?
workedSolution
By connecting the points ( $-$ 4 , $-$ 1 ), **{{correctAnswer}}** and ( $-$ 1 , 4 ) we obtain another parallelogram. sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2023/08/Algebra-NAP_10095v6ws-min.svg 420 indent vpad
correctAnswer
( $-$ 4 , 2 )

Answers

Is Correct?Answer
✓

( −- 4 , 2 )

x

( 2 , −- 3 )

x

( −- 5 , 2 )

x

( −- 4 , −- 3 )

Tags

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