Answer:
Step-by-step explanation:
Statement Reason:
1) The coordinates of point D are (4, 5) and coordinates of point E are (5, 3) By the midpoint formula
2) Length of segment DE is Square root of 5 and length of segment AC is 2 multiplied by the square root of 5 By the distance formula
3) Segment DE is half the length of segment AC By substitution
4) Slope of segment DE is -2 and slope of segment AC is -2 by the slope formula
5) Segment DE is parallel to segment AC Slopes of parallel lines are equal...
Answer:
1
Step-by-step explanation:
plug 4 into x making -4-5 then solve it and it comes out as 1
Answer
with
Step-by-step explanation:
Statement Reasons
1.∠1 ≅ 4 Given
2.∠1 = ∠2 Being Vertically opposite angles.
3.∠4 = ∠3 Being Vertically opposite angles.
4.∠2 = 3 From Statement no 2 & 3, Transitive property.
5.∠2 ≅ 3 From Statement 4
Proved.
Answer:
Show ΔBCD ≅ ΔGFE, so ∠C ≅ ∠F. Base angle of an isosceles triangle are congruent, so ΔACF is isosceles.
Step-by-step explanation:
Informally, subtract DE from CE and DF. This will show CD ≅ EF.
Then ΔBCD ≅ ΔGFE by the HL theorem for right triangles.
Corresponding parts of congruent triangles are congruent, namely the angles C and F.
Since base angles of ΔACF are congruent, it is isosceles.
The correct answer is d 7/7
