Quadrilateral EFGH is a scaled copy of quadrilateral ABCD. Select all of the true statements. *

Mathematics

1 answer:

Alex73 [517]2 years ago

7 0

Answer:

✔️Segment EF is twice as long as segment AB

✔️The length of segment EH is 16 units.

Step-by-step explanation:

Since quadrilateral ABCD is scaled to form quadrilateral EFGH, both are similar polygon.

Therefore: scale factor = ratio of any of their corresponding side

Scale factor = GH/CD = 12/6 = 2

This means quadrilateral EFGH is twice the size of quadrilateral ABCD.

The shape of the original polygon remains the same while the size increases.

This implies that, all segments of quadrilateral ABCD increases proportionally times 2 to give us corresponding lengths of the segments of quadrilateral EFGH.

Since shape remains the same, their corresponding angles are congruent and the same in measure.

Therefore, the following statements are true and correct:

✔️Segment EF is twice as long as segment AB

(EF = AB*scale factor = 3*2 = 6)

✔️The length of segment EH is 16 units.

(EH = AD*scale factor = 8*2 = 16)

You might be interested in

What are the vertex and x-intercepts of the graph of the function given below?

madreJ [45]

VERTEX
To determine the vertex (coordinate x) of parabola y = ax² + bx + c, use this following formula
x vertex = $-\dfrac{b}{2a}$

y = x² - 2x - 48
a = 1, b = -2, c = -48
plug in the numbers
x vertex = $-\dfrac{b}{2a}$
x vertex = $-\dfrac{(-2)}{2(1)}$
x vertex = $\dfrac{2}{2}$
x vertex = 1

To find y vertex, substitute the value of x vertex to the parabola equation
y = x² - 2x - 48
y = 1² - 2(1) - 48
y = 1 - 2 - 48
y = -49

The vertex is (1, -49)

X-INTERCEPT
x-intercept located in x axis, that means y = 0. Substitute y = 0 to the parabola equation
x² - 2x - 48 = y
x² - 2x - 48 = 0
(x - 8)(x + 6) = 0
x = 8 or x = -6
The x-intercepts are (8,0) and (-6,0)

The answer is first option

5 0

2 years ago

Read 2 more answers

In 2005, 0.76% of all airline flights were on-time. If we choose a simple random sample of 2000 flights, find the probability th

marissa [1.9K]

Answer:

Step-by-step explanation:

Here X no of flight that reach on time has two outcomes only and each trial is independent of the other.

Since sample size is large we approximate to normal with mean =np and variance =npq

i.e. X is N(152,19.10)

$Z=\frac{x-152}{19.1}$ is used for converting to std normal variate