ΔDEF has coordinates D(3, 1), E(6, 1) and F(6, −3). The triangle is reflected over the x-axis. What is the length of D'F'?
Question
ΔDEF has coordinates D(3, 1), E(6, 1) and F(6, −3).
The triangle is reflected over the x-axis. What is the length of D'F'?
Solution
To find the length of D'F', we first need to find the coordinates of D' and F' after the reflection over the x-axis.
The reflection of a point (x, y) over the x-axis is (x, -y).
So, the coordinates of D' and F' are:
D'(3, -1) and F'(6, 3)
Now, we can use the distance formula to find the length of D'F':
D'F' = sqrt[(x2 - x1)^2 + (y2 - y1)^2]
D'F' = sqrt[(6 - 3)^2 + (3 - (-1))^2]
D'F' = sqrt[(3)^2 + (4)^2]
D'F' = sqrt[9 + 16]
D'F' = sqrt[25]
D'F' = 5 units.
Similar Questions
In ΔEFG, f = 10 inches, g = 61 inches and ∠E=168°. Find the length of e, to the nearest inch.
In the given figure, ∆ABC has points D and F in AC andpoint E in BC such that DE ∥ AB and EF ∥ BD. If CF = 4 cmand AC = 9 cm, what is the length of DC?
A triangle has two sides of lengths 6 and 9. What value could the length of the third side be? Check all that apply.A.4B.7C.2D.10E.15F.12
In ΔFGH, f = 4.2 inches, g = 6.1 inches and ∠H=84°. Find the length of h, to the nearest 10th of an inch.
A triangle DEF has DF=13 cm, angle EDF is equal to 37 degrees and angle DFE is equal to 68 degrees. The side length DE (to the nearest cm) is equal to
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.