Answer: I am so sorry if this doesn't help 135
I think the scale factor of one block to the arrangement would be 1/9, since the arrangement contains 9 blocks.
So if the length at the top is 12 cm, the length of the bottom of a trapezoid would be 12(1/9) = 4/3
Since we know that each trapezoid holds 3 equilateral triangles, the length of each side and the top of the trapezoidal would be 4/3 x 1/2 = 2/3 cm
The sum of the angles must equal 360 degrees, and because they are made of equilateral triangles, you know that each angle of the triangle must be 60 degrees. So the bottom two angles of the trapezoid are each 60 degrees, and the top two are 360- 120 = 240 divided by 2 angles = 120 degrees each.
Answer: Any of the following angles are <u>not</u> congruent to angle 5.
- angle 2
- angle 4
- angle 6
- angle 8
The only exception being that if angle 5 is 90 degrees, then so are the remaining four angles shown above (in fact, all 8 angles are right angles).
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Explanation:
Angles 2 and 5 are supplementary since line p is parallel to line r. This means angle 2 and angle 5 add to 180 degrees. The two angles are only congruent if both are right angles (aka 90 degree angles); otherwise, they are not congruent angles.
Angle 2 = angle 4 because they are vertical angles. So because these two angles are congruent, and angle 2 does not have the same measure as angle 5, this consequently leads to angle 4 also not being the same measure as angle 5 (unless both are right angles).
Angle 2 = angle 8 because they are alternate interior angles. Following the same logic path as the last paragraph, we see that angles 8 and angle 5 aren't the same measure. Or we could note that angle 5 and angle 8 form a straight angle, so they must add to 180 degrees. The two angles are only congruent if they were 90 degrees each, or otherwise not congruent at all.
Similar logic can also show that angle 6 is not congruent to angle 5.
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An alternative path is to find all the angles that are always congruent to angle 5 and they are...
- angle 1 (corresponding angles)
- angle 3 (alternate interior angles)
- angle 7 (vertical angles)
And everything else is not congruent to angle 5.
Answer: 
Step-by-step explanation:
By definition, a Dilation is a transformation in which the image has the same shape as the pre-image but size changes.
The center of dilation is a fixed point in the plane, and the scale factor is the ratio of the corresponding sides of the image to the pre-image.
Based on the information provided in the exercise, you know that:
Thererefore, you can determine that the scale factor is:
