Which fact is not used to prove that XYZ is similar to VYW

Mathematics

1 answer:

abruzzese [7]3 years ago

3 0

Answer: The correct answer is: C) X, V and Y are collinear points.

Explanation: Three points being collinear does not do much in a similarity proof.

In order to prove similarity, we want to prove that all of the angles of one triangle are congruent to all of the angles of the other triangle.

The reflexive property showing an angle is congruent to itself helps do this.

The Corresponding Angles Postulate helps to prove angles are congruent.

A transversal can help prove angle congruence.

Collinear points will prove that angles sum to 180°, which will not help us prove similarity between triangles.

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Vilka [71]

The 3 numbers which should be placed between 12 and 60 are; 24, 36 and 48.

<h3>What three numbers should be placed between 12 and 60?</h3>

It follows from the task content that the first and last numbers are; 12 and 60 respectively.

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The figure is a square. Find the length of side x in simplest radical form with a rational denominator.

nika2105 [10]

Answer:

$10\sqrt{2}$

Step-by-step explanation:

The diagonal of any square with side length $s$ is equal to $s\sqrt{2}$ . Since the side length of the square is 10, the diagonal must be $\boxed{10\sqrt{2}}$ .

To support and prove this:

The diagonal creates two 45-45-90 triangles, with the diagonal being the hypotenuse of both of these triangles. The Pythagorean Theorem states that in any triangle, the sum of the squares of both legs is equal to the square of the hypotenuse ( $a^2+b^2=c^2$ ).

Call the diagonal $d$ . In these two triangles, both legs are equal to 10 (the side lengths of the square), and the hypotenuse is the diagonal. Thus, we have: