Okay the question is simple provided you understand what these 4 terms mean. I imagine that must be the sticking point here.
In the geometric sense, similarity means one thing scales to another. This doesn't make a huge amount of sense with regards to a single length. But if you have a triangle of lengths 3,4,5 and another of lengths 6,8,10, these are similar because it is all in the same proportion. The only difference is one is twice as large in the length sense.
Collinear means on the same line. Again this doesn't make a huge amount of sense in this context, usually we refer to points being collinear, for example (1,1), (2,2) and (3,3) are all on the same line y = x. In this context, it is saying that both diagonals are exactly the same line, which doesn't make sense.
Congruence, in the geometric sense, means the same. A 3,4,5 triangle can only be congruent to another 3,4,5 triangle. This then is saying that the lengths of the two diagonals are the same in a rhombus. This is indeed true, a property that can be proved using elementary vector geometry.
Finally we have perpendicularity, the property in two dimensions whereby two lines have an angle of 90 degrees between them. In fact only a very special rhombus will have this property, a square. Hence this isn't likely to be the answer to the question because it is not true for all rhombi.
The answer is congruent. I hope this helps :)
The number of cubes that will fit into the shoebox is 40 cubes
<h3>How to calculate the volume of a box</h3>
Volume is the measure of a substance an object contains
Volume of the box = length * width * height
Volume of the box = 5/4 * 1 * 1/2
Volume of the box = 5/8cubic unit
<u />
<u>Determine the volume of the box </u>
Volume of the box = l³
Volume of the box = (1/4)³ = 1/64 cubic units
Number of cubes = (5/8)/(1/64)
Number of cubes = 5/8 * 64/1
Number of cubes = 5 * 8
Number of cubes = 40 cubes
Hence the number of cubes that will fit into the shoebox is 40 cubes
Learn more volume of cube here: brainly.com/question/1972490
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5x=x-9 and 4x-10y=8
lets graph that on desmos cause I'm too lazy to subsitute it .
it has one answer
<span>(<span>9<span>a^18 </span>− 8<span>b^8</span></span>) </span><span>(<span>9<span>a^18 </span>+ 8<span>b^8</span></span><span>) Is your answer :)</span></span>
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