bugbug26
21.06.2019 •
Mathematics
Igure 1 and figure 2 are two congruent parallelograms drawn on a coordinate grid as shown below: 4 quadrant coordinate grid showing two parallelograms. figure 1 has vertices at negative 5, 2 and negative 3, 4 and negative 4, 7 and negative 6, 5. figure 2 has vertices at 5, negative 2 and 7, negative 4 and 6, negative 7 and 4, negative 5. which two transformations can map figure 1 onto figure 2? reflection across the y-axis, followed by reflection across x-axis reflection across the x-axis, followed by reflection across y-axis reflection across the x-axis, followed by translation 10 units right reflection across the y-axis, followed by translation 5 units down
Solved
Show answers
More tips
- F Food and Cooking Discover Delicious Recipes You Can Make with Ground Meat...
- C Computers and Internet Google Search Tips and Tricks: Everything You Need to Know...
- S Science and Technology Why is there no gravity on other planets?...
- L Leisure and Entertainment How to Properly Wind Fishing Line onto a Reel?...
- L Leisure and Entertainment How to Make a Paper Boat in Simple Steps...
- T Travel and tourism Maldives Adventures: What is the Best Season to Visit the Luxurious Beaches?...
- H Health and Medicine Kinesiology: What is it and How Does it Work?...
- O Other How to Choose the Best Answer to Your Question on The Grand Question ?...
- L Leisure and Entertainment History of International Women s Day: When Did the Celebration of March 8th Begin?...
- S Style and Beauty Intimate Haircut: The Reasons, Popularity, and Risks...
Answers on questions: Mathematics
- M Mathematics What is the absolute maximum?...
- M Mathematics Solve system by elimination 8x-8y=-16 -8x-7y=-29...
- M Mathematics 1. Suppose the positive numbers a և b are such that a + b = 7. A. b-1: B. 1: Գ. 0: D. -1: E. a...
- B Biology Which statement describes a Disadvantage of non renewable resources?...
- M Mathematics Rewrite the equation in ax+by=c use integers for a, b, and c. y+1=6(x+4)...
- P Physics Please help it’s the end the semester test...
Ответ:
Reflection across the x-axis, followed by translation 10 units right.
Step-by-step explanation:
I'm sorry, I know the question asks for two transformations, but let's look a the math before tackling the figure (see attachment).
When you are asked to do a reflection on the x-axis, they are asking you to invert the sign on the y coordinate of every point, and when you are asked to do a reflection on the y-axis, just invert the sign of the x coordinate, always following the convention of (x, y).
Translation to the right means to add the amount of units given to all the x coordinates, to the left means to subtract said number of units.
Translation down is to subtract those units to the y coordinate and translation up, is to add to that y coordinate.
So in this exercise:
Fig 1 coordinates are:
(-5, 2) (-3, 4) (-4, 7) (-6, 5)
Fig 2 coordinates are:
(5, -2) (7, -4) (6, -7) (4, -5)
So let's test the options given:
a. Reflection across the y-axis, followed by reflection across x-axis
Reflection across the y-axis:
Fig 1.1: (5, 2) (3, 4) (4, 7) (6, 5) <- Every x coordinate with inverted sign
Then reflection across x-axis:
Fig 1.2: (5, -2) (3, -4) (4, -7) (6, -5) <- Every y coordinate with inverted sign
if we compare this new Fig 1.2 with Fig 2:
(5, -2) (3, -4) (4, -7) (6, -5) ≠ (5, -2) (7, -4) (6, -7) (4, -5) Wrong
b. Reflection across the x-axis, followed by reflection across y-axis
Reflection across the x-axis:
Fig 1.1: (-5, -2) (-3, -4) (-4, -7) (-6, -5) <- Every y coordinate with inverted sign
Then reflection across y-axis:
Fig 1.2: (5, -2) (3, -4) (4, -7) (6, -5) <- Every x coordinate with inverted sign
if we compare this new Fig 1.2 with Fig 2:
(5, -2) (3, -4) (4, -7) (6, -5) ≠ (5, -2) (7, -4) (6, -7) (4, -5) Wrong
c. Reflection across the x-axis, followed by translation 10 units right
Reflection across the x-axis:
Fig 1.1: (-5, -2) (-3, -4) (-4, -7) (-6, -5) <- Every y coordinate with inverted sign
Then translation 10 units right:
Fig 1.2: (5, -2) (7, -4) (6, -7) (4, -5) <- Every x coordinate +10
if we compare this new Fig 1.2 with Fig 2:
(5, -2) (7, -4) (6, -7) (4, -5) = (5, -2) (7, -4) (6, -7) (4, -5) Correct!
d. Reflection across the y-axis, followed by translation 5 units down
Reflection across the y-axis:
Fig 1.1: (5, 2) (3, 4) (4, 7) (6, 5) <- Every x coordinate with inverted sign
Then translation 5 units down:
Fig 1.2: (5, -3) (3, -1) (4, 2) (6, 0) <- Every y coordinate -5
if we compare this new Fig 1.2 with Fig 2:
(5, -3) (3, -1) (4, 2) (6, 0) ≠ (5, -2) (7, -4) (6, -7) (4, -5) Wrong
So from all options only c. works
Ответ:
In this problem, you want the decimal point between the 2 and the 5. This moves it 3 places to the left .
2.5×10^3
hope that helped