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3 years ago

6

Two rhombuses with the same side lengths are always congruent ?

1 answer:

lyudmila [28]3 years ago

8 0

Answer:

False

Step-by-step explanation:

A rhombus is a quadrilateral with

1. all side length equal

2. opposite side parallel

3. opposite angles are congruent.

______________________________________

If there are two rhombus with same side length ,

conditions so that they must be always congruent.

1. Side length must be equal

2. corresponding angles to equal sides must also be equal.

It is possible that the sides of two rhombus will be same

but their angles can differ and hence the two rhombus may or may not be congruent.

Thus,

Two rhombuses with the same side lengths are always congruent

given statement is false

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3 years ago

6. The vertices of ALMN are L(7,4), M(7,16), and

max2010maxim [7]

Answer:

(a) LM=12 units, LN=35 units, MN=37 units

(b)8 84 units

(c) 210 square units

Step-by-step explanation:

(a)

Since points L and M have same x coordinates, it means they are in the same plane. Also, since the Y coordinates of L and N are same, they also lie in the same plane

Length $LM=\sqrt {(7-7)^{2}+(16-4)^{2}}=12 units$

Length $LN=\sqrt {(42-7)^{2}+(4-4)^{2}}=35 units$

Length $MN=\sqrt {(42-7)^{2}+(4-16)^{2}}=37 units$

Alternatively, since this is a right angle triangle, length MN is found using Pythagoras theorem where

$MN=\sqrt {(LN)^{2}+(LM)^{2}}=\sqrt {(12)^{2}+(35)^{2}}=37 units$

Therefore, the lengths LM=12 units, LN=35 units and MN=37 units

(b)

Perimeter is the distance all round the figure

P=LM+LN+MN=12 units+35 units+37 units=84 units

(c)

Area of a triangle is given by 0.5bh where b is base and h is height, in this case, b is LN=35 units and h=LM which is 12 units

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3 years ago

What is 4 to the 1/2 power

Ronch [10]

4 to he power of 1/2 is 2
I think thats because its 1/2 of 2
Sorry if I'm wrong
Hope this helps

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3 years ago

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Answer:

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2 years ago

"This summer, the water level of Lake Conroe changed by a rate of -1.5 feet per month. The water level at the beginning of May w

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Answer:

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Step-by-step explanation:

Given that:

Rate of change in water level = - 1.5 feets per month

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2 years ago