Algebra, NAPX-p169742v01

Question

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Worked Solution

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Variant 0

DifficultyLevel

558

Question

Three corners of a rectangle are shown below.

Which point represents the fourth corner of the rectangle?

Worked Solution

Consider the top left point on the graph (-1, 1) .

The point below is 3 grid lines down.

Consider the top right point on the graph (3, 1),

The point (3,−2)(3, -2) is 3 grid lines down.

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Three corners of a rectangle are shown below. sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/05/35.svg 350 indent vpad Which point represents the fourth corner of the rectangle?
workedSolution
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/05/35s.svg 350 indent vpad Consider the top left point on the graph (-1, 1) . The point below is 3 grid lines down. Consider the top right point on the graph (3, 1), The point {{{correctAnswer}}} is 3 grid lines down.
correctAnswer
$(3, -2)$

Answers

Is Correct?Answer
x

(3,−1)(3, -1)

✓

(3,−2)(3, -2)

x

(−2,3)(-2, 3)

x

(−1,3)(-1, 3)

Variant 1

DifficultyLevel

563

Question

Three corners of a parallelogram are shown below.

Which point could represent the fourth corner of the parallelogram?

Worked Solution

Consider the bottom left point on the graph (−1,−2)(-1, -2):

One point it joins is 4 grids to the right and 3 grids up.

Consider the top left point on the graph (−1,1)(-1, 1):

The last point (3, 4) is 4 grids to the right and 3 grids up.

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Three corners of a parallelogram are shown below. sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/05/35.svg 350 indent vpad Which point could represent the fourth corner of the parallelogram?
workedSolution
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/01/35-var-1.svg 350 indent vpad Consider the bottom left point on the graph $(-1, -2)$: One point it joins is 4 grids to the right and 3 grids up. Consider the top left point on the graph $(-1, 1)$: The last point {{{correctAnswer}}} is 4 grids to the right and 3 grids up.
correctAnswer
(3, 4)

Answers

Is Correct?Answer
✓

(3, 4)

x

(−2,−5)(-2, -5)

x

(4, 3)

x

(−1,3)(-1, 3)

Variant 2

DifficultyLevel

561

Question

Three corners of a parallelogram are shown below.

Which point could represent the fourth corner of the parallelogram?

Worked Solution

Consider the top right point on the graph (3,1)(3, 1):

One point it joins is 3 grids down and 4 grids to the left.

Consider the top left point on the graph (−1,1)(-1, 1):

The last point (−5,−2)(-5, -2) 3 grids down and 4 grids to the left.

Question Type

Multiple Choice (One Answer)

Variables

Variable nameVariable value
question
Three corners of a parallelogram are shown below. sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2021/05/35.svg 350 indent vpad Which point could represent the fourth corner of the parallelogram?
workedSolution
sm_img https://teacher.smartermaths.com.au/wp-content/uploads/2022/01/35-var-2.svg 350 indent vpad Consider the top right point on the graph $(3, 1)$: One point it joins is 3 grids down and 4 grids to the left. Consider the top left point on the graph $(-1, 1)$: The last point {{{correctAnswer}}} 3 grids down and 4 grids to the left.
correctAnswer
$(-5, -2)$

Answers

Is Correct?Answer
✓

(−5,−2)(-5, -2)

x

(−2,−5)(-2, -5)

x

(4, 3)

x

(−4,−3)(-4, -3)

Tags