Reflection refers to a rigid motion or transformation which occur and creates a mirror image to the given figure.
Reflections can be across the x-axis meaning that the result of the image is going to be (x,y) to (x,-y), and across the y-axis where the preimage (x,y) would be reflect to result in the image of (-x,y).
Another to kinds of reflection are across the line y=x where preimage (x,y) results in the new point (y,x) and the reflection across the line y=-x where the transformation results in the preimage (-y,-x).
Is given that the triangle ABC was reflected to create the new triangle A'B'C'. The coordinates of the vertices of the triangle ABC are A(3,1), B(1,5), and C(6,9), the new vertices after the reflection of the preimage are A'(-1,-3), B'(-5,-1), and C'(-9,-6).
After the previous said, the transformation occur was a reflection across the line y=-x. You can check this answer by selecting a point, and then looking at the rule for this kind of reflection.
Answer: i believe the answer is c=37. explanation: the two lengths are equal so if one side equals 2c and the other is c+37 then c+37 is just c+c making c equal to 37
Answer:
I cannot give you a full answer because it's missing crucial information- the points on the graph. However, I can give you insight!
Suppose one point is (2,3), if you want to scale it by a factor of 3, you would simply multiply both variables by 3. So the new point would be (6,9).
If you want to scale (4,7) by factor of 2, you would multiply the 4 and the 7 with 2. The new point would be (8,14).
Area = 1/2 (Base) (Height)
Area = 1/2 (12 in) (8 kn)
Area = 1/2 (96 in)
Area = 48 in^2
Volume = (Area) (Length)
Volume = (48 in^3) (13 in)
Volume = 624 in^3
First let's find the length of the last side. We can do this by adding AB and BC together, then subtracting this amount from the perimeter of Triangle ABC, 22 cm.
ABC - (AB + BC) ⇒ 22cm - (8cm + 5cm)
22cm - 13cm = 9cm
The hypotenuse is always the longest side of a triangle, so we know that the side we figured out is the hypotenuse. Now we can use the Pythagorean Theorem to see whether the triangle is a right triangle.
Pythagorean Theorem: a² + b² = c², where a and b are legs and c is the hypotenuse.
If a² + b² do equal c², then the triangle is a right triangle.
8² + 5² = 9²
64 + 25 = 81
89 > 81
The triangle is not a right triangle, but we know that it is obtuse since a and b together are longer than c.