Here’s your answer. Hope this helped!!
One stratagie you can use is called the big 7
<u>Question 6</u>
1)
,
, O is the midpoint of
,
(given)
2)
are right angles (perpendicular lines form right angles)
3)
are right triangles (a triangle with a right angle is a right triangle)
4)
(a midpoint splits a segment into two congruent parts)
5)
(LL)
<u>Question 7</u>
1)
are right angles), 
2)
(reflexive property)
3)
are right triangles (a triangle with a right angle is a right triangle)
4)
(LL)
5)
(CPCTC)
<u>Question 8</u>
1)
, point D bisects
(given)
2)
are right angles (perpendicular lines form right angles)
3)
are right triangles (a triangle with a right angle is a right triangle)
4)
(definition of a bisector)
5)
(reflexive property)
6)
(LL)
7)
(CPCTC)
Answer: Angle ABC = 60, angle CBD = 120 and angle GFH = 60
Step-by-step explanation: Line ABD is parallel to line EFG. Line line CFH is a straight line that cuts across both parallel lines. Therefore, angle FBD and angle HFG are corresponding angles. That means angle FBD equals 3x. Also 3x plus 6X equals 180. That is,
3x + 6x = 180 {Sum of angles on a straight line equals 180}
9x = 180
Divide both sides of the equation by 9
x = 20.
That means angle 6x measures 6(20) and that is 120 degrees.
Also angle 3x measures 3(20) and that is 60 degrees.
Angle ABC + Angle CBD = 180 {Sum of angles on a straight line equals 180}
Angle ABC + 120 = 180
Angle ABC = 180 - 120
Angle ABC = 60
Also angle CBD equals 6x, and x = 20. Therefore angle CBD = 6 x 20
Angle CBD = 120.
And then, angle GFH = 3x, and x equals 20. Hence angle GFH = 60.
Therefore angle ABC = 60, angle CBD = 120 and angle GFH = 60.
It is helpful to plot the points, then mentally test the answers for plausibility. Translation of E 1 unit to the right puts it at (2, 1), then rotation counterclockwise 90° about the origin puts it at (-1, 2), the location of E'.
The appropriate choice seems to be
A translation 1 unit to the right followed by a 90-degree counterclockwise rotation about the origin_____
Translation 1 unit right: (x, y) ⇒ (x+1, y)
Rotation 90° CCW: (x, y) ⇒ (-y, x)
Both transformations in that order: (x, y) ⇒ (-y, x+1)