 SEMATHS.ORG Updated: 10 August 2021 11:37:00 PM

# Which composition of transformations will create a pair of similar, not congruent triangles??

The following composition of transformations will create a pair of similar, not congruent triangles: a rotation, then a dilation. This answer has been confirmed as correct and helpful.

## With that being said, which transformation will not keep the shapes congruent?

Transformations include rotations, reflections, translations, and dilations. Students must understand that rotations, reflections, and translations preserve congruence but dilations do not unless the scale factor is one.

## In the same way which transformations are always make congruent images?

We now know that the rigid transformations (reflections, translations and rotations) preserve the size and shape of the figures. That is, the pre-image and the image are always congruent.

## In like manner when can you use similar triangles?

Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion . In other words, similar triangles are the same shape, but not necessarily the same size. The triangles are congruent if, in addition to this, their corresponding sides are of equal length.

#### Is SS a valid similarity condition?

If a triangle has two sides sharing a common ratio with Robel's, and has the same angle "outside" these sides as Robel's, must it be similar to Robel's triangle? If you determine SSA is not a valid similarity conjecture, cross it off your list! [SSA - is not a valid triangle similarity conjecture. ]

#### Does 30 40 45 Make a right triangle?

Explanation: Pythagoras's Theorem states that the square of the length of the hypotenuse of a right-angled triangle is equal to the sum of the squares of the lengths of the other two sides. Actually a 30 , 40 , 50 triangle is just a scaled up 3 , 4 , 5 triangle, which is a well known right angled triangle.

#### Does 4 5 6 represent a Pythagorean triple?

For a set of three numbers to be pythagorean, the square of the largest number should be equal to sum of the squares of other two. Hence 4 , 5 and 6 are not pythagorean triple.

#### Does the Pythagorean apply to all triangles?

The Pythagorean Theorem states that in any right triangle, the sum of the squares of the lengths of the triangle's legs is the same as the square of the length of the triangle's hypotenuse. Remember, this theorem only works for right triangles.

#### Are two sides of a right triangle equal?

You've already met the right triangle in an earlier lesson. A right triangle has one angle equal to 90 degrees. A right triangle can also be an isosceles triangle--which means that it has two sides that are equal. A right isosceles triangle has a 90-degree angle and two 45-degree angles.

#### What forms a right triangle?

A right triangle consists of two legs and a hypotenuse. The two legs meet at a 90° angle and the hypotenuse is the longest side of the right triangle and is the side opposite the right angle. There are a couple of special types of right triangles, like the 45°-45° right triangles and the 30°-60° right triangle.

#### How can you tell if two triangles are similar?

If two pairs of corresponding angles in a pair of triangles are congruent, then the triangles are similar. We know this because if two angle pairs are the same, then the third pair must also be equal. When the three angle pairs are all equal, the three pairs of sides must also be in proportion.

#### Does 7 24 25 form a right triangle?

Yes, 7, 24, 25 is a Pythagorean Triple and sides of a right triangle.

#### Does 20 21 and 29 make a right triangle?

. The right triangle having these side lengths is sometimes called the 3, 4, 5 triangle. One side may have two of these divisors, as in (8, 15, 17), (7, 24, 25), and (20, 21, 29), or even all three, as in (11, 60, 61).

#### Does 9 12 15 make a right triangle?

The three sides 9 in, 12 in, and 15 in do represent a right triangle. Since the square of the hypotenuse is equal to the sum of the squares of the other two sides, this is a right triangle.

#### Does 16 30 34 form a right triangle?

Solve for the missing side. Solve for the missing side. If the square of one side of a triangle is equal to the sum of the squares of the other two sides, then the triangle is a right triangle. Given the sides of a triangle equal to 16, 30, 34.

#### Does 10 24 26 Make a right triangle?

Yes. For right triangles, the sum of the squares of the shorter sides is equal to the square of the longer side. Thus, this is a right triangle if 10^2+24^2=26^2. Expanding these squares, we have 100+576=676, which is true.

#### What do you call the two shorter sides of a right triangle?

For a right triangle, the side that is opposite of the right angle is called the hypotenuse. This side will always be the longest side of the right triangle. The other two (shorter) sides are called legs.

#### Does 5 12 and 13 form a right triangle?

Yes, a right triangle can have side lengths 5, 12, and 13. To determine if sides of length 5, 12, and 13 units can make up the sides of a right

#### Does 12 16 and 20 make a right triangle?

First note that 12 16 and 20 are all all multiples of th the 3 4 5 triangle. Thus we know that 12²+16²=20². This is a right angle triangle. We can take the base equal to 12 and the height equal to 16.

#### What type of triangle is 16 30 34?

Question 730645: The sides of a triangle measure 16, 30, and 34. Which type of triangle is it? : The Isosceles triangle shown on the left has two equal sides and two equal angles.

#### What is the longest line in a triangle?

In geometry, a hypotenuse is the longest side of a right-angled triangle, the side opposite the right angle.

#### What are the sides of a 30-60-90 Triangle?

What is a 30-60-90 Triangle? A 30-60-90 triangle is a right triangle with angle measures of 30º, 60º, and 90º (the right angle). Because the angles are always in that ratio, the sides are also always in the same ratio to each other.

#### What are the 3 triangle similarity theorems?

These three theorems, known as Angle - Angle (AA), Side - Angle - Side (SAS), and Side - Side - Side (SSS), are foolproof methods for determining similarity in triangles.

#### Does 4 8 12 make right triangles?

Answer: No, side lengths of 4, 8, and 12 do not form a right triangle.

#### Can a 6 8 10 make a right triangle?

Answer: Yes, a triangle has side lengths 6, 8, 10 is it a right triangle.

#### Does 4 5 6 make right triangles?

The three numbers 4, 5, 6 make a Pythagorean Triple (they could be the sides of a right triangle).

#### What are the 5 most common Pythagorean triples?

Examples
(3, 4, 5)(5, 12, 13)(7, 24, 25)
(20, 21, 29)(12, 35, 37)(28, 45, 53)
(11, 60, 61)(16, 63, 65)(48, 55, 73)
(13, 84, 85)(36, 77, 85)(65, 72, 97)

#### What do you call the longest side of a right triangle?

The hypotenuse of a right triangle is always the side opposite the right angle. It is the longest side in a right triangle. The other two sides are called the opposite and adjacent sides.

#### Is SS a similarity theorem?

SSS Similarity Theorem
By definition, two triangles are similar if all their corresponding angles are congruent and their corresponding sides are proportional. SSS Similarity Theorem: If all three pairs of corresponding sides of two triangles are proportional, then the two triangles are similar.

#### Does 6 8 12 make right triangles?

Is this a right triangle? O A. Yes, because 62 +82 < 122.

#### Does 15 36 39 form a right triangle?

Example 1: Solve for x. Therefore, the length of the base x of the triangle is approximately 12.1. The Converse of the Pythagorean Theorem states that, if is true, then the given triangle is a right triangle. Hence, the set {15, 36, 39} is a Pythagorean Triple.