The graph shows Lucy's trip to Sydney's house and then back home. 3
3
N
Distance from Home
4
0
Time
Which part of the graph shows her distance from home increasing the fastest?
A
1
B
N
С
3
D
4

The graph shows Lucy's trip to Sydney's house and then back home.

3
3
N
Distance from Home
4
0
Ti

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Ответ:

TheCat250

19.06.2020

Mathematics

Option D

Step-by-step explanation:

Consider the below figure attached with this question.

Distance formula:

$Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

From the below figure it is clear that the vertices of quadrilaterals ABCD are A(0,0), B(2,0), C(3,-2) and D(-1,-2).

The vertices of quadrilaterals EFGH are E(2,4), F(6,4), G(7,1) and H(1,1).

Using distance formula we get

$AB=\sqrt{\left(2-0\right)^2+\left(0-0\right)^2}=2$

$CD=\sqrt{\left(-1-3\right)^2+\left(-2-\left(-2\right)\right)^2}=4$

$EF=\sqrt{\left(6-2\right)^2+\left(4-4\right)^2}=4$

$GH=\sqrt{\left(1-7\right)^2+\left(1-1\right)^2}=6$

We know that corresponding sides of similar figures are proportional.

$\dfrac{AB}{EF}=\dfrac{2}{4}=\dfrac{1}{2}$

$\dfrac{CD}{HG}=\dfrac{4}{6}=\dfrac{2}{3}$

We get,

$\dfrac{AB}{EF}\neq \dfrac{CD}{HG}$

Quadrilaterals ABCD and EFGH are not similar because their corresponding segments are not proportional.

Therefore, the correct option is D.

Are quadrilaterals abcd and efgh similar? yes, quadrilaterals abcd and efgh are similar because a t

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The graph shows Lucy's trip to Sydney's house and then back home. 3 3 N Distance from Home 4 0 Time Which part of the graph shows her distance from home increasing the fastest? A 1 B N С 3 D 4