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2 years ago

$abcd$ is a square. how many squares have two or more vertices in the set $\{a, b, c, d\}$?

2 answers:

7 0

There are 4 squares having a side corresponding to a side of square abcd.

There are 4 squares having a side corresponding to the diagonals of square abcd.

And then the original square

Therefore, there are 4 + 4 + 1 = 9 squares having two or more vertices in the set {a, b, c, d}.

Vadim26 [7]2 years ago

7 0

Answer:

Step-by-step explanation:

There are (4 choose 2) = 6 ways to choose two points P and Q from the set of four points {A, B, C, D}. Two squares can be formed with P and Q as adjacent vertices (one on each side of PQ), and one square can be formed with P and Q as opposite vertices. This gives us 6 x 3 = 18 squares total.

However, we must subtract repeats. We see that the original square ABCD is counted 6 times, so the number of actual squares is 18 - 5 = 13.

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Step-by-step explanation:

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2 years ago

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If PQ=RS, which of the following must be true?

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Answer:

If PQ=RS then PQ and RS have the same length. Hence option D is correct

Solution:

Given that, pq = rs

And, we have to find which of the given options are true.

a) pq and rs form a straight angle

We can’t decide the angle in between pq and rs just by the statement pq = rs.

So this statement is false.

b) pq and rs form a zero angle.

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So this statement is false.

c) pq and rs are same segment. 

If two things equal then there is no condition that both represents a single item.

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d) pq and rs have the same length

As given that pq = rs, we can say that they will have the same length

Hence, option d is true.

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2 years ago

Help please!! 20 point question!! Which equation represents the general form a circle with a center at (-2, -3) and a diameter o

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Step-by-step explanation:

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Answer:

The correct answer is diagonals are equal and bisect each other.

Step-by-step explanation:

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