Triangle ABC and triangle CFG are similar right triangles. Which proportion can be used to show that the slope of AC is equal to
the slope of CG? A) 0 − 2 3 − 0 = 2 − 6 9 − 3 B) 0 − 2 3 − 0 = 6 − 2 9 − 3 C) 2 − 0 3 − 0 = 6 − 2 9 − 3 D) 3 − 0 2 − 0 = 9 − 3 6 − 2
2 answers:
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Answer: This is an reduction.
Step-by-step explanation:
- A dilation a king of transformation that creates an similar image (about a center of dilation) of the actual figure by changing its size with the use of a scale factor(k).
- It either shrinks or stretches the image.
- If |k| is greater than 1 then the image is an enlargement .
- If |k| is less than 1 then the image is an reduction.
- If |k| is equals to 1 then there is no change in size.
Given : A street is drawn by dilating segment about center A with a scale factor greater than 0 but less than 1.
Then by using (2.) , we can say that this is an reduction.
Answer:
(6,0)
Step-by-step explanation:
The coordinates of the points dividing the line segment in ratio m:n can be calculated as:
Here x1, y1 are the coordinates of first point S (-2, -6) and x2, y2 are the coordinates of second point T(18, 9).
In this case m will be 2 and n will be 3 as the ratio is 2:3
Using all these values we can find the coordinates of point Q
Thus, the coordinates of point Q which divides the line segment ST in ratio of 2:3 are (6,0)