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3 years ago

Quadrilaterals are similar if their corresponding sides are proportional. true or false

Mathematics

2 answers:

Dafna11 [192]3 years ago

6 0

Answer:

FALSE

Step-by-step explanation:

Corresponding angles must also be congruent for the figures to be similar. Proportional sides is <em>not a sufficient condition</em>.

lara [203]3 years ago

5 0

Answer:

The given statement is true.

Step-by-step explanation:

Quadrilaterals are similar if their corresponding sides are proportional.

This statement is true.

Quadrilaterals are similar when

a) corresponding angles are equal

b) the corresponding sides are proportional i,e the ratios of corresponding sides are equal

So, the given statement is true.

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Answer:

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3 years ago

One of the diagonals of a rhombus is thrice as the other. The area of the rhombus is 54 sq.Cm. The sum of the length of the diag

Colt1911 [192]

Answer:

Step-by-step explanation:

let one diagonal=x

other diagonal=3x

area=1/2 (x±3x)=3/2 x²=54

x²=54×3/2=81

x=9 cm

3x=3×9=27

sum of diagonals=x+3x=4x=4×9=36 cm

5 0

2 years ago

2. The path of a high diver is given by y = + (2x2 – 9x – 56), where y is the height of the diver

timofeeve [1]

Answer:

The diver will be 8 feet from the end of the board when he hits the water.

Step-by-step explanation:

The diver hits the water when y = 0.

To find the distance, we have to find the values of x when y = 0.

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

$ax^{2} + bx + c, a\neq0$ .

This polynomial has roots $x_{1}, x_{2}$ such that $ax^{2} + bx + c = (x - x_{1})*(x - x_{2})$ , given by the following formulas:

$x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}$

$x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}$

$\bigtriangleup = b^{2} - 4ac$

In this problem, we have that:

$y = 2x^{2} - 9x - 56$

$2x^{2} - 9x - 56 = 0$

$a = 2, b = -9, c = -56$

Then

$\bigtriangleup = b^{2} - 4ac = (-9)^{2} - 4*2(-56) = 529$

$x_{1} = \frac{-(-9) + \sqrt{529}}{2*2} = 8$

$x_{2} = \frac{-(-9) - \sqrt{529}}{2*2} = -3.5$

It is a horizontal distance, so the answer is a positive value.

The diver will be 8 feet from the end of the board when he hits the water.

7 0

3 years ago

Helpp!!!!! i will mark as brainliest !!<br><br>solve question i and ii

melomori [17]

Answer:

(i) Lowest Temperature: Warsaw

Highest Temperature: Cairo

(ii) 27.1 + 35.2 = 62.3°C

4 0

3 years ago

Read 2 more answers

Help pls ASAP!!!!!!!!

eduard

Answer:

Option 1 and 2

Step-by-step explanation:

Slope = 2

y-intercept = 5

6 0

3 years ago