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makvit [3.9K]
3 years ago
5

6.The Polygon Similarity Postulate states that two polygons are similar if and only if there is a correspondence between their a

ngles and their sides so that all corresponding angles are and all sides are proportional. _________
7.Similar figures have the same shape but are not necessarily the same size.

True
False

8.A directed line segment partitioned with a ratio of 4:3 would be divided into how many equal parts.

4


3


7


12


9.The ratio of the length of a side of an image to the length of the corresponding side of its pre-image is called the scale factor.

True
False

10.All properties of Proportions are valid, given that there is no ______________ in the denominator of the fraction representing the ratios.
Mathematics
1 answer:
Masja [62]3 years ago
7 0
6. angles are equal
7.True
8.True
9. Zero

6. Angles are equal and sides are proportional to similar figures
7. They can be the same size and they would be congruent but if they are proportional they would still fir the definition of similar polygons 
8. all sides when multiplied by the scale factor change by that ratio.
9.A zero in a denominator is renders it undefined.

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Answer:

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This questions tests our understanding of enlargement ratios.

#Determine the decimal equivalents or simplify to see which one is correct:

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\frac{5}{7}=0.7143\\\\\frac{7}{15}=0.4667\\\\5:7\neq 7:15

#b) 5:7 = 15:21

=\frac{5}{7}\\\\=\frac{15}{21}=\frac{5}{7} \# dividing \ by \ 3\\\\\frac{5}{7}=\frac{15}{21}

#c) 5:7 = 21:15

\frac{5}{7}=0.7143\\\\\frac{21}{15}=1.4\\\\\frac{5}{7}\neq \frac{21}{15}

#d) 21:5 = 15:7

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Hence, option b is the correct one as 5:7 = 15:21

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