Similarity (Grade 12 NSC Matric Mathematics): Quizzes

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What are similar polygons?

Shapes with same form but different sizes

How many conditions must be true for two polygons to be similar?

Both conditions must be true

What is special about proving triangle similarity compared to other polygons?

Only one condition needed; other follows

What does AAA similarity mean for triangles?

All corresponding angles equal

If Y^=N^\hat{Y} = \hat{N} and Z^=P^\hat{Z} = \hat{P} in two triangles, what follows?

X^=M^\hat{X} = \hat{M} (third angles equal)

What must be shown for SSS triangle similarity?

All three side pairs have same ratio

What is needed for SAS similarity?

2 proportional sides + equal included angle

What does the symbol ||| represent?

Similarity

Are triangles with sides 15, 18, 24 and 5, 6, 8 similar?

Yes, all ratios equal 31\frac{3}{1}

If △PQR\triangle PQR ||| △BAC\triangle BAC, which sides correspond?

PQBA=QRAC=PRBC\frac{PQ}{BA} = \frac{QR}{AC} = \frac{PR}{BC}

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