Answer: The slope of DE is 0.5 and the length of DE is 1.6 units.
Explanation: Given that the midpoints D and E of triangle ABC are joined by line segment DE, this line segment DE will be parallel to BC and will measure half of the length of BC according to the midpoint theorem for triangles. Therefore, the slope of DE is
slope of DE = slope of BC = 0.5
since they are parallel, and the length of DE is
length of DE = 0.5 * length of BC = 0.5 * 3.2 = 1.6 units.
Its hard to explain this without an example. Add an example and I can show my work?
Answer:
2
Step-by-step explanation:
rotation, then translation, then reflection
The answer is A. (42)
WORKINGS
Since Q is equidistant from the sides of ∠TSR,
∠TSQ = ∠QSR
m∠TSQ = 4x + 5
m∠QSR = 8x – 11
Therefore, 4x + 5 = 8x – 11
Solving for x
4x + 5 = 8x – 11
Add 11 to both sides of the equation
4x + 5 + 11 = 8x – 11
+ 11
4x + 16 = 8x
Subtract 4x from both sides of the equation
4x + 16 – 4x = 8x – 4x
16 = 4x
4x = 16
x = 16/4
x = 4
∠RST is the same as ∠TSR
m∠RST = ∠TSQ + ∠QSR
m∠RST = 4x + 5 + 8x – 11
m∠RST = 12x – 6
m∠RST = (12 x 4) – 6
m∠RST = 48 – 6
m∠RST = 42 degrees