Similarity and congruency (OCR GCSE Maths): Quizzes

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Similarity and Congruency
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What does it mean if two shapes are congruent?

Same size & shape

Which condition proves triangles are congruent if all three sides of one equal all three sides of another?

SSS

In the SAS criterion, what does 'included angle' mean?

Angle between two sides

Which criterion requires two angles & a corresponding side to be equal for triangles to be congruent?

AAS

What must two right-angled triangles have equal for RHS congruency?

Hypotenuse & one side

What does it mean if two shapes are similar?

Same form, different size

What is a scale factor?

Multiplier for lengths

If a 4848 cm length corresponds to a 1616 cm length, what is the scale factor?

33

For triangles to be similar, what must be true?

Angles equal & sides proportional

If rectangle A has height 44 cm & C has height 1818 cm, what is height scale factor from A to C?

4.54.5

What is the formula for area factor when shapes are similar?

(Length Scale Factor)2(\text{Length Scale Factor})^2

If length scale factor is 1.51.5, what is the volume scale factor?

3.3753.375

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