olivasm5626
20.10.2020 •
Mathematics
Triangle FUN, with vertices F(−2, 4), U(0, −5), and N(−3, −8) was dilated to form triangle PET with vertices P(−1.6, 3.2), E(0, −4), and T(−2.4, −6.4).Which scale factor was used? A.1.25
B.−1
C.2/3
D.0.8
Suppose these statements about two triangles are
true:∠G=∠S,∠R=∠,and ∠M=∠N. Which statement is correct? Select all that apply.
A.The sides are congruent.
B.The sides are proportional.
C.ΔGRM is similar to ΔNST
D.ΔMGR is similar to ΔNST
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Ответ:
For first question answer is D.0.8
For second question answer is D.ΔMGR is similar to ΔNST.
Step-by-step explanation:
Here triangle FUN is dilated to get triangle PET
So, let's take F and P.
F(-2,4) and P(-1.6, 3.2)
Let's find the scale factor by dividing the coordinates.
Scale factor =
Using y coordinates of the same points
Scale factor =
So, scale factor is 0.8
Now, for the second problem
<G= <S
<R= <T
<M=<N
So, the corresponding angles are congruent when two triangles similar.
So, we can say ΔMGR is similar to ΔNST.
Ответ:
A: 6.5 ft
Step-by-step explanation:
Hopefully this helps