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Answer:
The correct options is;
Midsegment of a Triangle Theorem
Step-by-step explanation:
The Midsegment of a Triangle Theorem states that when there is a segment that joins the midpoints of two adjacent sides of a triangle, that segment will be half the length of the third side of the triangle and parallel to it (the third side of the triangle)
Therefore, each triangle can have at least, three midsegments constructed to be parallel to each of the three sides
m∠ADE = 36° (Given)
m∠DAE = 90° (Definition of a right angle)
m∠AED = 54° (Triangle Sum Theorem)
Segment DE joins the midpoints of segments AB and AC (Given)
Segment DE is parallel to segment BC (<u>Midsegment of a Triangle Theorem</u>)
∠ECB ≅ ∠AED (Corresponding angles are congruent)
∴ ∠ECB = 54° (Substitution property).
Given a point (x, y), let's evaluate the transformations:
- Translation 6 units to the right.
Means moving the point 6 units in the horizontal direction; to the right.
The new point will be (x + 6, y).
- Translation 2 units down.
Means moving the point 2 units down; in the vertical direction.
The new point will be (x + 6, y - 2).
Answer: (x + 6, y - 2).
Answer:
mABC=130°
mEBD=130°
mABE=50°
Step-by-step explanation:
