Using transformations and congruency concepts, it is found that with these following transformations, the triangles will be congruent.
- A reflection, then a translation.
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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
Because it is a 90° angle and the legs are congruent, the legs intersect with the hypotenuse at the same angle, so the other, unnamed angle at the bottom left is equal to x.
Now we can state that:
2x + 90 = 180
2x = 90
x = 45
Answer:
there is no answer
Step-by-step explanation:
If you multiply 15^x by 15^y, the answer is 15^(x+y) so 2 plus -7 is negitive 5.
but there is no answer equal to this.
Reflecting the triangle ABC implies that the new position would be a mirror of the previous position
The statement that logically comes next is (c) Translate triangle ABC, so that point A maps to point W
<h3>How to determine the next step</h3>
After reflecting the triangle ABC, the next step is to map point A to point W on the coordinate plane.
This is done by translating the triangle ABC i.e. by shifting or moving the triangle ABC so that points A and W would be on the same point
Hence, the statement that logically comes next is (c)
Read more about transformation at:
brainly.com/question/4289712
Answer:
9c² -30c + 25
Step-by-step explanation:
Perfect square trinomial: (a - b)² = a² - 2ab + b²
(3c - 5)²
(3c)² -2(3c * 5) + 5²
9c² -2(15c) + 5²
9c² -30c + 25
Final answer: 9c² -30c + 25
Hope this helps!