Answer:△DEF is congruent to △D′E′F′ because the rules represent a translation followed by a reflection, which is a sequence of rigid motions.
Step-by-step explanation:
A rigid motion of the plane is a motion which maintain distance.
Translation is a kind of rigid motion used in geometry to trace a function that moves an object a particular distance.
A reflection is also a kind of rigid motion . It is mainly a 'toss' of a shape across the line of reflection.
So,△DEF is mapped to △D′E′F′ using the rule (x,y)→(x,y+1) ( which is a translation.) followed by (x,y)→(x,−y)(which is reflection),therefore it is a sequence of rigid motions.
Answer:
7
Step-by-step explanation:
16x-80+18=4x+22
16x-62=4x+22
12x-62=22
12x=84
x=7
Answer:
y = (1/2)x + 5/2
Step-by-step explanation:
y - 3 = (1/2)(x - 1) is in point-slope form. To obtain the slope-intercept equivalent, solve this equation for y:
y = 3 + (1/2)x - 1/2, or
y = (1/2)x + 3 - 1/2, or
y = (1/2)x + 5/2
Answer:
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Step-by-step explanation:
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