3. Vocabulary Suppose △MNP ∼△RST. How can you identify corresponding parts?
1 answer:
Similar triangles may or may not have congruent sides, but the ratio of the corresponding sides will always be congruent.
<u>(3) Corresponding sides of △MNP and △RST</u>
Given that △MNP ∼△RST.
This means that, the corresponding sides are:
- MN and RS
- MP and RT
- NP and ST
<u>(4) The equal measures</u>
Given that △ABC ∼△TUV
This means that, the corresponding angles are equal, but corresponding sides are not.
So, the equal measures are:
- (a). the measures of ∠A and ∠T
- (c). the ratios of the sides BC/UV and AC/TV
The unequal measure is:
- (b). the perimeters of the two triangles
<u>(c) Scale mapping</u>
The scale mapping is given as:
The above scale means that 1 inches on the scale represents 100 miles of the actual distance.
Take for instance, 5 inches would represent 500 miles.
500 is 5 times 100
Hence, the actual distance between two towns 100 times the map distance between the two towns
Read more about similar triangles at:
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Ella has to add 32.833 lbs of water to get 33.333 lbs of syrup.
<u>Solution:</u>
Ella has 0.5 lbs of sugar. Let x lbs be the amount of water Ella should add to get the 1.5% of syrup,
On writing the proportion,
To get 1.5% syrup Ella should add 32.833 lbs of water. The total weight of syrup is 33.333 lbs.