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Euclidean Geometry Review

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Euclidean Geometry Review

Solve each problem and show clear reasoning. Give lengths in the units stated and angles in degrees.

Geometry at the community garden

A community garden is being redesigned. Use angle facts, similarity, transformations and Pythagoras’ theorem to check the plans.

1.A five-sided garden bed is a pentagon. What is the sum of its interior angles?

360°
540°
720°
900°

2.Two straight, parallel garden paths are crossed by a straight walkway. At one intersection, an angle in the upper-right position is 68°. State the size of the angle in the matching upper-right position at the other intersection, and name the angle relationship.

3.A triangular planting bed is drawn at a scale of 1:4. One side measures 3.5 cm on the plan. How long is the matching side in the garden?

4.A worker shifts a design 5 units right and 2 units down on a coordinate grid. Point A is (−3, 4). What are the coordinates of A after the translation?

5.A right-triangular support brace has perpendicular sides of 9 cm and 12 cm. Find the length of its longest side. Show your calculation.

Plan-check puzzle

For Question 6, lines m and n are parallel and are crossed by transversal t. Angles x and y lie between m and n on the same side of t.

6.Lines m and n are parallel and are crossed by transversal t. Angles x and y lie between m and n on the same side of t. If x = 117°, find angle y and explain the angle relationship you used.

7.A rectangular plot measures 18 m by 10 m. It is enlarged by a scale factor of 1.5. State the new dimensions and the scale factor by which its area changes.

8.A triangle has angles 48° and 73°. Find its third angle. Then explain briefly why your answer must be correct.

9.A triangular roof brace has side lengths 7 cm, 24 cm and 25 cm. Is it right-angled? Use a calculation to justify your answer.

10.A triangular flag design is reflected in the y-axis. Point B is (−6, 3). Give the image coordinates of B and state the coordinate rule for this reflection.

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More Maths Worksheets

Year 10

Euclidean Geometry Review

Euclidean Geometry Review

Geometry at the community garden

Plan-check puzzle

2 printable pages

About This Worksheet

Free in Kuraplan

Print-Ready

AI-Generated

For Teachers & Parents

Need a custom version of this worksheet?

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