IGCSE /Grade 6
Maths MCQ Based On Identifying congruent and similar figures
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IGCSE Grade 6 Maths Identifying congruent and similar figures
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The ratio of the side lengths between the two similar squares is 10 cm/5 cm = 2. The perimeter of the original square is 4 × 5 cm = 20 cm. The perimeter of the similar square is 2 times the perimeter of the original square, which is 2 × 20 cm = 40 cm.
Figures with the same shape are similar. Figures with the same size and shape are congruent.
State as similar or congruent.
The ratio of the corresponding side lengths between the two rectangles is 8 cm/5 cm = 1.6. Therefore, the length of the second rectangle is 10 cm × 1.6 = 16 cm.
Compare the figures and relate.
A parallelogram and a trapezoid can be congruent if their corresponding angles and side lengths are equal. However, a square and a triangle have different angles, so they cannot be congruent.
Congruent figures have equal angles and equal side lengths. Therefore, if two figures are congruent, their corresponding angles will be equal.
Similar figures have the same shape but can have different sizes. A pentagon can have the same shape as a triangle, although it will have additional sides and angles.
Congruent triangles have three pairs of corresponding sides that are equal in length. Therefore, they have three congruent sides.
Two equilateral triangles are congruent.
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