Answer:
Step-by-step explanation:
KT because triangles KIT and KET are congruent ( mirror images).
This figure is what we would call a composite figure. A composite figure is a shape that is made up of multiple other shapes. when looking at the pond and the border that surrounds it, we can see that this heart shape is made up of two semi circles and a square. To find the area of the border, we will use the area formulas for semi circles and for squares:
Semi Circle Area Formula:
÷
2
Square Area Formula: length x width
Pi = 3.14
Radius = Half of the diameter, in this case 6
After finding the area of each shape, we can subtract the 2 ft width to find the area of the flower bed border.
Answer:
- reflection in x = 1
- translation up 2
Step-by-step explanation:
The orientation of B is the opposite of the orientation of A, so a reflection is involved. The smallest angle is at the bottom in both figures, and the largest angle is on the right in A and the left in B, so the reflection is left-right, rather than up-down.
The point midway between the largest angle vertices is on the vertical line x=1, so that line can be used for reflection. Reflecting A across that line will put its large-angle vertex at (3, 0), so a translation up 2 units is also needed.
The reflection on x=1 and translation up 2 can be done in either order.
_____
<em>Additional comment</em>
A combination of reflection and translation is called a "glide reflection." Our choice of x = 1 as the line of reflection takes care of any horizontal translation that would be required if a different vertical line were used. For example, reflection across the y-axis would require a subsequent translation up 2 and right 2.
A^2+B^3=c^2
6^2+8^2=c^2
36+16=c^2
52=c^2
Square root both sides
7.2=C