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:
domain: {-12, -8, 0, 1} range: {0, 8, 12}
Step-by-step explanation:
domain are of all the input values shown on the x-axis. The range is the set of possible output shown on the y-axis.
Answer:
a = 5 / 4
b = 0
Step-by-step explanation:
3/4√5 - √3 + 2/4√5 + √3 = b√3 + a√5
3/4√5 + 2/4√5 + √3 - √3 = b√3 + a√5
5/4√5 + 0 = b√3 + a√5
0 + 5/4√5 = b√3 + a√5
b√3 = 0
b = 0 / √3
b = 0
a√5 = 5/4√5
a = 5/4√5 / √5
a = 5 / 4
