![GrainLeaf](/avatars/46470.jpg)
GrainLeaf
04.02.2020 •
Mathematics
Choose all of the statements that correctly describe the transformation rule. reflection over x-axis: (x, y) ? (? x, y) reflection over y-axis: (x, y) ? (x, ? y) rotation of 90° counter-clockwise about origin: (x, y) ? (? y, x) rotation of 180° counter-clockwise about origin: (x, y) ? (? x, ? y) rotation of 270° counter-clockwise about origin: (x, y) ? (y, ? x)
Solved
Show answers
More tips
- H Health and Medicine How to Treat Whooping Cough in Children?...
- L Leisure and Entertainment Unlocking the Secrets of Fast and Effective Tectonic Learning...
- A Animals and plants Уход за джунгариками: полезные советы и рекомендации...
- S Style and Beauty How to knit a hooded cowl?...
- S Style and Beauty How to Break in New Shoes: 7 Simple Methods...
- D Dating, Love, Relationships 10 Useful Tips on How to Survive a Breakup?...
- A Art and Culture How to Learn Screaming: Step-by-Step Guide for Beginners...
- A Art and Culture Attention, the Final Episode of Margo is Almost Here!...
- H Health and Medicine Novomin: What is it and how to use it?...
- L Leisure and Entertainment How to Land on the Moon: Your Comprehensive Guide...
Answers on questions: Mathematics
- M Mathematics The population of ages at inauguration of it us presidents who had prolossions in the military in 62, 46, 68, 64, 57 . why does it not make sense to construct a histogram...
- M Mathematics Ratio equivalent to 6/9, give me 3 answers...
- M Mathematics Evaluate the expression 2(8 − 4)2 − 10 ÷ 2. a 11 b 27 c 56 d 59 traveling at 65 miles per hour, how many minutes, rounded to the nearest whole number, does it take to...
- M Mathematics Rewrite the relation as a function -6x+4=x-2y f(x)=...
- M Mathematics How would you find the slope of x- y=-2? and explanation step by step would me so much to understand this and no longer have problem solving these questions...
- M Mathematics Awarm object cools according to the function t0 = 249 e 0.035t + 82. assuming a constant environmental temperature, what constant temperature, in °f, will the object s...
- M Mathematics The equation of a line is −2x+5y=−20. what is the x-intercept of the line? enter your answer in the box....
- M Mathematics If you rent a car for one day and drive it for 100 miles, the cost is $40.00. if you drive it 220 miles, the cost is $46.00. use the linear function to find out how much...
- M Mathematics The radical equation 2 sqr + 2x - 3 = sqr x + 7 has a solution set (x= )and an extraneous root x =...
- M Mathematics How do you find the nearest hundredth of the cub roots: 8 cube root and 75 cube root...
Ответ:
Transformations are important subjects in geometry. In this exercise, these are the correct transformation rules:
1. Reflection over x-axis:Consider the point
, if you reflect this point across the x-axis you should multiply the y-coordinate by -1, so you get:
![\boxed{(x,y)\rightarrow(x,-y)}](/tpl/images/0501/4751/20c9b.png)
2. Reflection over y-axis:Consider the point
, if you reflect this point across the y-axis you should multiply the x-coordinate by -1, so you get:
![\boxed{(x,y)\rightarrow(-x,y)}](/tpl/images/0501/4751/4f640.png)
3. Rotation of 90° counter-clockwise about origin:Consider the point
. To rotate this point by 90° around the origin in counterclockwise direction, you can always swap the x- and y-coordinates and then multiply the new x-coordinate by -1. In a mathematical language this is as follows:
![\boxed{(x,y)\rightarrow(-y,x)}](/tpl/images/0501/4751/79234.png)
4. Rotation of 180° counter-clockwise about origin:Consider the point
. To rotate this point by 180° around the origin, you can flip the sign of both the x- and y-coordinates. In a mathematical language this is as follows:
![\boxed{(x,y)\rightarrow(-x,-y)}](/tpl/images/0501/4751/261b3.png)
5. Rotation of 270° counter-clockwise about origin:Rotate a point 270° counter-clockwise about origin is the same as rotating the point 90° in clock-wise direction. So the rule is:
Ответ:
we need a pic of the example