Using transformations and congruency concepts, it is found that with these following transformations, the triangles will be congruent.
- A reflection, then a translation.
-
A rotation, then a reflection.
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- Two triangles are congruent if they have the <u>same lengths</u> of the sides and the <u>same angles.</u>
- In a reflection, there is a rule that changes the <u>coordinates (x,y)</u>, but does <u>not </u>change <u>the lengths</u> of the sides of the triangles, thus they will still be congruent.
- A <u>reflection is also a special case of rotation</u>, thus, in a rotation, the triangles are also congruent.
- A translation is also similar to a reflection, using rules to shift the triangle up, down, left or right according to it's coordinates, not changing the sides or angles, thus congruent.
- In a dilation, the <u>lengths of the sides are changed</u>, thus, the triangles will not be congruent.
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Thus, from the bullet points above, the correct options are:
- A reflection, then a translation.
- A rotation, then a reflection.
A similar problem is given at brainly.com/question/24267298
Answer:
316.41
Step-by-step explanation:
Because if you mutiply to find both volumes then add the volumes together you would get 316.41
This question is essentially telling you to move the point (5, -2) over three units, and up four units. That means subtract three units from the x-coordinate and add four units to the y-coordinate. So (5 - 3, -2 + 4) --> (2, 2). The coordinates for the new point are (2, 2).
Answer:
Hence the degrees of freedom are associated with the critical value is 25.
Step-by-step explanation:
Using two independent samples, two population means are
compared to determine if a difference exists, the population standard deviation is equal.
sample size 1 = 
= 15 and sample size 2 = 
= 12
since, population standard deviations are equal, required degrees of freedom
Answer:
$84.50
Step-by-step explanation:
