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vazorg [7]
3 years ago
7

The ABC Toy Company is creating two similar pieces for a board game, as shown below. How could the toy maker confirm that the pi

eces are similar using the definition of similarity in terms of similarity transformations?
Mathematics
2 answers:
nadezda [96]3 years ago
6 0

Answer:

Verify ∠S ≅ ∠Y and ∠T ≅ ∠Z by translation.

I took the test! Have a nice day C:

kati45 [8]3 years ago
4 0

Answer:

The company can confirm that the pieces are similar by verifying that the relationship between the sides of the parts in the drawing created with MS Visio, of the diagram in a similar question found online, are;

\dfrac{\overline {RS}}{\overline {XZ}} = \dfrac{\overline {RT}}{\overline {XY}} = \dfrac{\overline {ST}}{\overline {ZY}}

Step-by-step explanation:

The definition of similarity is the quality of two or more objects having a common definitive property

Two objects in Euclidean geometry are similar if they are similar in shape and parameters of one shape can be obtained from the other by the application of a uniform scale and/or translation, reflection and rotation

The ABC toy maker could confirm that the pieces are similar by verifying that the corresponding sides of the two shapes have a common ratio

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HELPPP PLEASEEE!!! Find the perimeter of ΔTAP with vertices T(1, 4), A(4,4), and P(3,0) to the nearest tenth unit.
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Answer: 11.6 units.


Step-by-step explanation:

1. Plot the points as you can see in the graph attached.

2. As you can see, the lenght <em>TA</em> is 3 units.

3. Apply the formula for calculate the distance between two points, to calculate the length<em> TP</em> and <em>TA.</em> The formula is:

d=\sqrt{(x_2-x_1)^{2}+(y_2-y_1)^{2}}

4. Therefore, you have:

TP=\sqrt{(1-3)^{2}+(4-0)^{2}}=4.47units

AP=\sqrt{(4-3)^{2}+(4-0)^{2}}=4.12units

5. The perimeter is the sum of the the lenght of each side, therefore:

Perimeter=3units+4.47units+4.12units\\Perimeter=11.59units

6. To the nearest tenth unit:

Perimeter=11.6units

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