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Practice — Straight-line graphs • Areas of rectilinear figures

Areas in rectilinear coordinate geometry: check 1
Difficulty: ★★☆
4381
Info
M4U-EXT-QP-0606-COORDINATE-AREA-O1

Maths4U Original · Short practice

ABCD is a parallelogram with consecutive vertices \(\displaystyle A=\)\(\left( 17, \ 2\right)\), \(\displaystyle B=\)\(\left( 21, \ 2\right)\), \(\displaystyle C=\)\(\left( 23, \ 4\right)\), \(\displaystyle D=\)\(\left( 19, \ 4\right)\).

Find the area of ABCD.

Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.

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Areas in rectilinear coordinate geometry: review variant 1
Difficulty: ★★☆
4382
Info
M4U-EXT-QP-0606-COORDINATE-AREA-O1-V1

Maths4U Original · Short practice

ABCD is a parallelogram with consecutive vertices \(\displaystyle A=\)\(\left( 18, \ 3\right)\), \(\displaystyle B=\)\(\left( 23, \ 3\right)\), \(\displaystyle C=\)\(\left( 26, \ 6\right)\), \(\displaystyle D=\)\(\left( 21, \ 6\right)\).

Find the area of ABCD.

Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.

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Areas in rectilinear coordinate geometry: check 2
Difficulty: ★★☆
4383
Info
M4U-EXT-QP-0606-COORDINATE-AREA-O2

Maths4U Original · Short practice

ABCD is a parallelogram with consecutive vertices \(\displaystyle A=\)\(\left( 18, \ 3\right)\), \(\displaystyle B=\)\(\left( 23, \ 3\right)\), \(\displaystyle C=\)\(\left( 26, \ 6\right)\), \(\displaystyle D=\)\(\left( 21, \ 6\right)\).

Find the area of triangle ABC.

Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.

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Areas in rectilinear coordinate geometry: review variant 2
Difficulty: ★★☆
4384
Info
M4U-EXT-QP-0606-COORDINATE-AREA-O2-V1

Maths4U Original · Short practice

ABCD is a parallelogram with consecutive vertices \(\displaystyle A=\)\(\left( 19, \ 1\right)\), \(\displaystyle B=\)\(\left( 25, \ 1\right)\), \(\displaystyle C=\)\(\left( 26, \ 5\right)\), \(\displaystyle D=\)\(\left( 20, \ 5\right)\).

Find the area of triangle ABC.

Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.

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Areas in rectilinear coordinate geometry: check 3
Difficulty: ★★☆
4385
Info
M4U-EXT-QP-0606-COORDINATE-AREA-O3

Maths4U Original · Short practice

ABCD is a parallelogram with consecutive vertices \(\displaystyle A=\)\(\left( 19, \ 1\right)\), \(\displaystyle B=\)\(\left( 25, \ 1\right)\), \(\displaystyle C=\)\(\left( 26, \ 5\right)\), \(\displaystyle D=\)\(\left( 20, \ 5\right)\).

Find the squared diagonal length \(\displaystyle AC^{2}\).

Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.

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Areas in rectilinear coordinate geometry: review variant 3
Difficulty: ★★☆
4386
Info
M4U-EXT-QP-0606-COORDINATE-AREA-O3-V1

Maths4U Original · Short practice

ABCD is a parallelogram with consecutive vertices \(\displaystyle A=\)\(\left( 20, \ 2\right)\), \(\displaystyle B=\)\(\left( 27, \ 2\right)\), \(\displaystyle C=\)\(\left( 29, \ 7\right)\), \(\displaystyle D=\)\(\left( 22, \ 7\right)\).

Find the squared diagonal length \(\displaystyle AC^{2}\).

Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.

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Areas in rectilinear coordinate geometry: check 4
Difficulty: ★★☆
4387
Info
M4U-EXT-QP-0606-COORDINATE-AREA-O4

Maths4U Original · Short practice

ABCD is a parallelogram with consecutive vertices \(\displaystyle A=\)\(\left( 20, \ 2\right)\), \(\displaystyle B=\)\(\left( 27, \ 2\right)\), \(\displaystyle C=\)\(\left( 29, \ 7\right)\), \(\displaystyle D=\)\(\left( 22, \ 7\right)\).

Find the gradient of AD.

Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.

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Areas in rectilinear coordinate geometry: review variant 4
Difficulty: ★★☆
4388
Info
M4U-EXT-QP-0606-COORDINATE-AREA-O4-V1

Maths4U Original · Short practice

ABCD is a parallelogram with consecutive vertices \(\displaystyle A=\)\(\left( 21, \ 3\right)\), \(\displaystyle B=\)\(\left( 24, \ 3\right)\), \(\displaystyle C=\)\(\left( 27, \ 5\right)\), \(\displaystyle D=\)\(\left( 24, \ 5\right)\).

Find the gradient of AD.

Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.

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