The definition of similar triangles says that 2 triangles are similar if they have the same shape but different size. There are two criteria to check for this:
1) If all angles in one triangle are equal to the angles in another one, then the 2 are equal.
2) If the sides have the same proportions, then the 2 triangles are similar.
1) We have that all the angles of the 2 triangles have an equal angle in the other triangle. In specific, Q is matched to B, P to A and R to C. Hence, since corresponding angles are congruent, the two triangles are similar.
2) Here we are given information about the sides of the triangles, so we will check the second criterion. We form the ratio of the largest sides of each trangle and the shortest sides. 30/5=6. For the shortest sides, 18/3=6. Finally for the middle sides, 24/4=6. Hence, we have that the triangles are similar since the ratios are equal. (it doesn't matter whether we take the bigger or the smaller side as a numerator, as long as we are consistent).
Answer:
profit section and that is answer A
Answer:
The enlargement will be 25 times and the enlargement area will be 
.
Step-by-step explanation:
It is given that each grid unit is equal to 3 inches. SO we have to use this scale.
The total height of the scale drawing is 21 inch and the enlargement has a height given as 105 inches. Therefore it has scale factor of 5. It means that each dimension is enlarged by 5 times the dimension in the scale drawing. So the enlargement of the logo will be 25 times and the enlargement area will be 2250 square inches.
For the first triangle, I believe the given angles are 85 and 53. If I am incorrect, please let me know and I'll resolve it.
The answer for 1 would be 42.
2nd triangle- 69 is the missing angle measurement.
3rd- 64 degrees.
4th- 53
The reasoning behind all of these: The total of all three interior angles should be 180 degrees. So when you add the two GIVEN angles, and subtract that from 180, this answer is your missing angle.
(Also, for any other site or anything, it might be best to block out your name)
