Answer:
ABCD and EFGH
ABCD and PQRS (or EFGH and PQRS)
Dilate by a scale factor of 3
Step-by-step explanation:
Congruent means they have the same shape and size.
Similar means they have the same shape, but not necessarily the same size.
The orientation (rotation angle) or position do not matter.
EFGH is reflected and rotated, so it maintains the same shape and size as ABCD. Therefore, they are congruent.
PQRS is scaled and translated, so it has the same shape, but different size than ABCD. Therefore, they are similar but not congruent.
Also, PQRS is similar to EFGH, but not congruent.
To make EFGH congruent to PQRS, we need to make it the same size. So we need to scale EFGH by a factor of 3.
To be able to solve this question, we need to know about the Pythagorean theorem: a² + b² = c². A and b represents the two sides that make the right angle, and C represents the hypotenuse, or the longest side, of the triangle.
We know that the hypotenuse is the longest side of the triangle, so that means 9 is c. One side of the triangle is 6, and we have to solve for b. That means 6 is a. We can plug in our values to the formula like this:
Now that we have our equation down, we know what we have to do next: subtract 81 from 36 to get b².
Answer:
Step-by-step explanation:
<u>Step 1: Determine the unit rate</u>
<u>Step 2: Determine the amount of gasoline used for 216 miles</u>
Answer:
Answer: increasing
and asymptote
Step-by-step explanation:
Answer:
distance apart= 9 miles
Step-by-step explanation:
The library , post office and gas station are all on elm street. The library is 3 miles away westward of the post office. The gas station is also 6 miles east of the post office. The distance between the library and the gas station can be computed below.
The post office is located at the middle between the library and the gas station. The library goes 3 miles westward of the post office while the gas station goes 6 miles eastward of the post office. The distance apart between the library and the gas station is the sum of the distance of the gas station from the post office and the distance of the library from the post office .
Therefore,
6miles + 3 miles = 9 miles
