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:
78
Step-by-step explanation:
40 x 76 is the equation by 4x4 of 86 and the 36
Answer:
A) Yes the 2 triangles are similar by SSS Similarity and SAS Similarity
Step-by-step explanation:
SSS:
ST/SU = SW/SV = WT/VU
60/70 = 48/56 = 30/35
6/7 = 6/7 = 6/7
SAS:
ST/SU = SW/SV = 6/7 (look at SSS proving)
Angle S = Angle S because they are reflexive or the same angles
The sequence is geometric, so
for some constant r. From this rule, it follows that
and we can determine the first term to be
Now, by substitution we have
and so on down to (D)
(notice how the exponent on r and the subscript on a add up to n)
