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Euclidean Geometry Review
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Euclidean Geometry Review
📐 Part 1: Multiple Choice Questions
1. What is the sum of interior angles in a pentagon?
360°
540°
720°
900°
2. When two parallel lines are cut by a transversal, which angle pairs are equal?
Corresponding angles
Alternate interior angles
Co-interior angles
Vertically opposite angles
3. If triangle ABC is similar to triangle DEF with a scale factor of 1:3, and side AB = 4 cm, what is the length of side DE?
1.3 cm
7 cm
12 cm
16 cm
4. Which transformation preserves both shape and size?
Scaling
Translation
Dilation
Enlargement
✏️ Part 2: Problem Solving
5. In the diagram below, lines AB and CD are parallel. If angle x = 65°, find angle y. Show your working and explain your reasoning.
Angle y = _______°
6. A right-angled triangle has legs of 9 cm and 12 cm. Use Pythagoras' theorem to find the length of the hypotenuse.
Hypotenuse = _______ cm
7. Triangle PQR undergoes a reflection across the y-axis, followed by a translation 3 units up. Describe what happens to the coordinates of point P(4, -2) after both transformations.
8. Explain why the sum of interior angles in any triangle is always 180°. Use geometric reasoning in your answer.
🔍 Part 3: Reflection
9. Which Euclidean geometry concept from this unit do you find most challenging and why?
10. Give one real-world example where you might use angle relationships or similarity in everyday life.
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