Answer:
See below
Step-by-step explanation:
Firstly, we'll dilate EFGH by any scale factor.
<u><em>Let's find the scale factor first.</em></u>
=> Scale Factor = 
=> Scale Factor = 
=> Scale Factor = 1.5
1) Dilate the figure by a scale factor of 1.5
2) Reflect it across the origin
3) Translate (Move) 5 units down and then 10 units left.
These transformations will map EFGH onto its image.
Answer:180.3
Step-by-step explanation:
a=150
b=50
C=120
c^2=a^2+b^2-2 x a x b x cosC
c^2=150^2+50^2-2x150x50xcos120
c^2=150x150+50x50-2x150x50xcos120
c^2=22500+2500-15000cos120
c^2=25000-15000x-0.5
c^2=25000+7500
c^2=32500
c=√(32500)
c=180.3
Answer:
Rigid transformations preserve segment lengths and angle measures.
Rigid transformations produce congruent figures.
If two figures are congruent, then there is a rigid transformation or a combination of rigid transformations that will map one onto the other.
Step-by-step explanation:
- A rigid transformation or an isometry is a transformation that does not change the sides and angle of plane figures.
- Reflection in the plane, translations and rotation or a combination of them produce images that are congruent to the preimage.
- This implies that, two figures are congruent if and only if a rigid transformation or a combination of one or more rigid transformations will map one plane figure onto another.
- Therefore all the given options are true.
Answer:
160/196
Step-by-step explanation:
it would be easier if you converted all fractions to improper fractions
so 3 1/5 would equal 16/5 and 2 4/5 would equal to 14/5
: to solve this you would need the same common denomenator,
to do this you can multiply 5 and 3 by something to make the lowest common denominator, which would be 15
thus
multiplying first fraction by 3 and the second by 5
42/15 - 10/15 = 32/15
now 32/15 divided by 14/5
the rule for dividing fractions, is flipping the fraction which you will be using to divide, and then multiplying it to the first fraction:
multiplied by 
thus, answer is 160/196
