Delgado Dickson
09/21/2023 · Elementary School
a ) Plot points \( P(-2 ; 3), Q(2 ; 2) \) and \( R(1 ;-2) \) and join them up. b) Draw \( \triangle P^{\prime} Q^{\prime} R^{\prime} \) if \( \triangle P Q R \) is enlarged by a factor of 4 to give \( \triangle P^{\prime} Q^{\prime} R \). c) State the coordinates of \( P^{\prime}, Q^{\prime} \) and \( R^{\prime} \). d) Complete the rule \( (x ; y) \rightarrow(\square ; \square) \) for this enlargement. e) Construct a rectangle around each triangle and calculate the area of each triangle. f) Determine Area \( \triangle P Q R \) : Area \( \triangle P^{\prime} Q^{\prime} R^{\prime} \).
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a) Plot points \( P(-2, 3), Q(2, 2) \), and \( R(1, -2) \) and join them to form triangle \( PQR \).
b) Enlarge triangle \( PQR \) by a factor of 4 to get \( P'(-8, 12), Q'(8, 8) \), and \( R'(4, -8) \).
c) Coordinates of \( P', Q', R' \) are \( (-8, 12), (8, 8) \), and \( (4, -8) \).
d) The rule for the enlargement is \( (x, y) \rightarrow (4x, 4y) \).
e) The area of \( \triangle PQR \) is 8.5 square units, and the area of \( \triangle P'Q'R' \) is 136 square units.
f) The area ratio is \( 1:16 \).
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