Answer:
The proof is derived from the summarily following equations;
∠FBE + ∠EBD = ∠CBA + ∠CBD
∠FBE + ∠EBD = ∠FBD
∠CBA + ∠CBD = ∠ABD
Therefore;
∠ABD ≅ ∠FBD
Step-by-step explanation:
The two column proof is given as follows;
Statement
Reason
bisects ∠CBE
Given
Therefore;
∠EBD ≅ ∠CBD
Definition of angle bisector
∠FBE ≅ ∠CBA
Vertically opposite angles are congruent
Therefore, we have;
∠FBE + ∠EBD = ∠CBA + ∠CBD
Transitive property
∠FBE + ∠EBD = ∠FBD
Angle addition postulate
∠CBA + ∠CBD = ∠ABD
Angle addition postulate
Therefore;
∠ABD ≅ ∠FBD
Transitive property.
Answer:
90 degree rotation in the clockwise direction.
Step-by-step explanation:
Point A transforms to A'
- that is x coordinate: 2 ---> 3
and y coordinate 3 ---> -2
So the rotation is clockwise from Quadrant1 to Quadrant 4.
The slope of OA = 3/2 and the slope of OA' = -2/3.
The product of these slopes = 3/2 * -2/3 = -1 so the lines are perpendicular - that is the line has passed through an angle of 90 degrees.
A similar result occurs if we consider points B, C and D.
Answer:
Answer should be 5
Step-by-step explanation:
Answer:
78
Step-by-step explanation:
400-244=156
156/2=78
Answer:
yes
Step-by-step explanation:
congurency property can be used for all right angles triangles
that's all ....have fun