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
It's 150.8
If you ever need to find that, type into google "surface area of ____"
B because The measure of center of distribution would have to be in be
Answer:
jil got 18 chocolates
Step-by-step explanation:
let the ratio constants be x,
so, jil has 3x chocolates
katie has 4x chocolates
and we know total chocolates = 42
then,
=》3x + 4x = 42
=》7x = 42
=》x = 42 ÷ 7
=》x = 6
so, jil got 3x = (3 × 6) = 18 chocolates
katie got 4x = (4 × 6) = 24 chocolates
Answer:
160 miles
Step-by-step explanation:
Distance = speed × time
Speed 1 = 40miles/hr , speed 2 = 50 miles/hr
Time 1 = 3 hrs, time 2 = 4 hrs
Distance 1 = speed 1 × time 1
= 40× 3 = 120 miles
Distance 2 = speed 2 × time 2
= 50 × 4 = 200 miles
Average distance = (distance 1+distance 2 ) ÷ 2
Distance = (200+120) ÷ 2 = 320 ÷2
= 160 miles
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