Suppose a triangle reflects over the y-axis. Which describes how the transformation affects the coordinates of the vertices?
2 answers:
Answer: OPTION A.
Step-by-step explanation:
By definition:
- When you reflect a figure, you flip it over a line of reflection, then, both figures will be in opposite directions.
- The image (which is the reflection) and the pre-image will have the same shape ad size.
- If a figure is reflected over the y-axis, then the sign of the x-coordinate is changed.
Keeping the above on mind, you can conclude that when a triangle is reflected over the y-axis the coordinates of the vertices are afectted as following:
- The y-coordinate is not changed.
- The sign of the x-coordinate is changed.
Then:
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Answer:
25.2294 feet
Step-by-step explanation:
We can solve this question drawing a triangle using the values given and then using the law of sines. (See image attached to know how to draw the triangle and use the values).
First we need to find the third angle of the triangle, that is, the angle in the vertix where the bird is:
y + 55 + 63 = 180
y = 62°
The relation between the angles and the distances are:
25 / sin(y) = x / sin(63)
25 / 0.8829 = x / 0.8910
x = 25 * 0.8910 / 0.8829 = 25.2294 feet
