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Are triangle ABC and DEF similar?

Are triangle ABC and DEF similar?

For example, triangle DEF is similar to triangle ABC as their three angles are equal. The length of each side in triangle DEF is multiplied by the same number, 3, to give the sides of triangle ABC.

What is the scale factor of ABC to Def?

1 Expert Answer Since you are looking for the scale factor of ABC to DEF the answer is 8 because DEF is 8 times larger than ABC.

What is the length of side EF in the triangle?

1 Answer. The length of EF=15 cm.

What is the length of AC ⎯ ⎯ ⎯ ⎯ ⎯?

12 cm

How do you find the length of the longest side of a right triangle?

Use the Pythagorean theorem to calculate the hypotenuse from right triangle sides. Take a square root of sum of squares: c = √(a² + b²)

What is the length of LJ?

3.5

What is the length of AC 3 ft 4 ft 9 ft 18 ft?

The answer is D, 18ft. Step-by-step explanation: The length of AC is 18 ft.

What is the scale factor of ABC Uvw?

Therefore, the scale factor of triangle ABC to triangle UVW is 5 and option C is the correct choice.

What is the scale factor of triangle ABC to triangle def?

The ratio that you get when you divide corresponding side lengths of similar figures is called the scale factor. In the example below, the scale factor of triangle ABC to triangle DEF is 2.

What is the scale factor of triangle ABC to triangle XYZ?

Step-by-step explanation: We are given to find the scale factor of dilation from triangle ABC to triangle XYZ. The lengths of the sides of triangles ABC and XYZ are as follows : AB = 5 units, BC = 4 units, AC = 3 units, XY = 30 units, YZ = 24 units and XZ = 18 units. Thus, the required scale factor of dilation is 6.

How can you tell if 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.

How do you calculate scale size?

To scale an object to a smaller size, you simply divide each dimension by the required scale factor. For example, if you would like to apply a scale factor of 1:6 and the length of the item is 60 cm, you simply divide 60 / 6 = 10 cm to get the new dimension.

What is the scale factor of 3 and 2?

These all reduce to the fraction 3/2, or 1 1/2 (the second triangle is a little less than twice as big). We usually leave the scale factor as a fraction, so we would say that the scale factor is 3/2.

How do you enlarge a shape by a scale factor of 3?

Enlarge the triangle PQR by a scale factor of 3 about the centre of enlargement O.

  1. First draw ray lines from O to each corner of the triangle and extend them.
  2. Next measure the distance from O to each corner of PQR. Multiply this distance by 3 and plot the points P’ Q’ and R’.
  3. Finally join up the points P’ Q’ R’.

How do you enlarge a drawing?

There is a simple formula to figure this out: Divide the dimensions of the painting by the dimensions of the drawing. For example, let’s say your drawing is 6 x 8 inches, and you want to enlarge your drawing onto an 18 x 24-inch canvas (or a 13.75 x 11-inch drawing into a 20 x 16-inch painting as illustrated below).

How do you enlarge by a negative scale factor?

An enlargement using a negative scale factor will cause the enlargement to appear on the other side of the centre of enlargement; and will be inverted (upside down). The shape will also change size depending on the value of the enlargement.

How do you find an enlargement?

To find the centres of enlargement, draw lines through the corresponding corners of each shape. These lines will cross at the centre of enlargement, as shown below. The centres have been marked with the letter O in both diagrams.

What is full size scale?

Explanation: A full size scale is a type of scale in which the length of the drawing and the actual length of the object is of the ratio 1:1. Hence by definition, its representative fraction is 1:1.

What is the scale factor of 1 4?

Architectural Scales

Drawing Scale Scale Factor Viewport Scale
3/32″ = 1′-0″ 128 1/128xp
1/8″ = 1′-0″ 96 1/96xp
3/16″ = 1′-0″ 64 1/64xp
1/4″ = 1′-0″ 48 1/48xp
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