Figure KLMN and figure PQRS, shown below, are similar figures.If KN = 6 cm, MN = 14 cm, RS = 28 cm, and PS = 12 cm, what is the scale factor of figure KLMN to figure PQRS? A. 2 B. 12 C. 3 D. 13
Question
Figure KLMN and figure PQRS, shown below, are similar figures.If KN = 6 cm, MN = 14 cm, RS = 28 cm, and PS = 12 cm, what is the scale factor of figure KLMN to figure PQRS? A. 2 B. 12 C. 3 D. 13
Solution
The scale factor of two similar figures is the ratio of their corresponding sides.
Given that KN = 6 cm and PS = 12 cm, we can find the scale factor by dividing the length of KN by the length of PS.
So, the scale factor of figure KLMN to figure PQRS is 6 cm / 12 cm = 0.5.
However, this option is not listed in the choices provided.
Let's try using the other pair of corresponding sides.
Given that MN = 14 cm and RS = 28 cm, we can find the scale factor by dividing the length of MN by the length of RS.
So, the scale factor of figure KLMN to figure PQRS is 14 cm / 28 cm = 0.5.
Again, this option is not listed in the choices provided.
It seems there may be a mistake in the question or the provided choices, as the scale factor calculated does not match any of the options.
Similar Questions
Figure JKLMN and figure PQRST, shown below, are similar figures.The scale factor of figure JKLMN to figure PQRST is 3:2. If KL = 18 cm and MN = 30 cm, what is the length of side QR? A. 45 cm B. 12 cm C. 20 cm D. 27 cm
In the given figure, PQ = 24 cm, QR = 26 cm ∠PAR = 90°, PA = 6 cm, and AR = 8 cm, the degree measure of ∠QPR is
Which is the correct statement about the two figures shown below?Select one:a.Figure A is not similar to figure B.b.The scale factor of figure B to A is 2:4.c.Figure A is twice as large as figure B.d.The scale factor of figure A to figure B is 3:2
In the given figure, PQRS is a parallelogram with PS = 7 cm, PT = 4 cm andPV = 5 cm. What is the length of RS in cm? (The diagram is representative.)
In the diagram, MQ=15 cm, MN=9 cm, NP=3 cm and PQ=9 cm. Determine the length of MP. Give non-exact numerical answers correct to 3 significant figures.
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.