(02.05)which sequence of transformations creates a similar, but not congruent, triangle? rotation and translation reflection and rotation dilation and rotation translation and reflection

Rotation, translation, and reflection do not affect lengths or angles, so always result in congruent figures. Dilation changes lengths, so results in similar figures. Any choice that includes "dilation" is appropriate.

... Dilation and rotation

Dilation and rotation

Step-by-step explanation:

We know that only rigid motions are the transformation that create congruent images.

i.e. The images formed by rigid motions have same shape and size.

There are three main kinds of rigid motions:  

i) translation ii) reflection iii) rotation

They all create congruent images.

But a dilation produces image with same shape as the original but with different size by using a scale factor k.

Thus dilation does not create congruent images.

Hence, the sequence of transformations creates a similar, but not congruent, triangle will be : Dilation and rotation

step-by-step explanation:

a.   since the profit made in 2012 is equal to the profit made in 2014, the profit is           symmetric about the line y = 120,000.

step-by-step explanation:

given that megan owns a clothing boutique.

the profits of 2010, 11, are recorded and shown as follows:

years since     2010 0     1     2     3       4       5

profits made in 1000's   39       84     111     120   111     84

we find that profit gradually increases form 2010 to 2013 upto 120,   then starts decreasing.

the profits for 2012 and 2014 are the same while that of 2011 and 2015 are also the same.

this shows that there is symmetry about the line profit = 120000

hence answer is:

a.   since the profit made in 2012 is equal to the profit made in 2014, the profit is           symmetric about the line y = 120,000.

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step-by-step explanation:

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