The following two figures ABCDE and FGHIJ are similar. Figure ABCDE is twice as large as figure FGHIJ. Therefore the ratio of their corresponding sides is 2:1. If side BC is 12 units long, what is the length of side GH in units?
a. 3.5 units
b. 5 units
c. 6 units
d. 7.5 units
Answer: 6 units ( c )
The above two geometric figures are similar because they both have the same shape. Figure FGHIJ was constructed by scaling down (shrinking) figure ABCDE. Similarity is defined as one shape that can be obtained from another by uniformly stretching one.
In above problem, the ratio of 2:1 means that each side in figure FGHIJ is half the length of the sides in figure ABCDE which means it was stretched down by half. Therefore, since side BC is 12 units long, then side GH will be half of that which will be 6 units.
©Copyright 2008.Najwa S. Hirn. All rights reserved.
a. 3.5 units
b. 5 units
c. 6 units
d. 7.5 units
Answer: 6 units ( c )
The above two geometric figures are similar because they both have the same shape. Figure FGHIJ was constructed by scaling down (shrinking) figure ABCDE. Similarity is defined as one shape that can be obtained from another by uniformly stretching one.
In above problem, the ratio of 2:1 means that each side in figure FGHIJ is half the length of the sides in figure ABCDE which means it was stretched down by half. Therefore, since side BC is 12 units long, then side GH will be half of that which will be 6 units.
©Copyright 2008.Najwa S. Hirn. All rights reserved.
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