Question

Hey i need help I need help finding these...

o        (x coordinates added/2, y coordinates added/2)
o        If a line is parallel to one side of a triangle and intersects the other two sides in two distinct points, then it separates these sides into segments of proportional lengths.
o        If the three sides of a triangle are proportional to the three sides of another triangle, then the triangles are similar
o        If two angles of a triangle are congruent to two angles of another triangle, then the triangles are similar
o        If two sides of a triangle are proportional to two sides of another triangle and if their included angles are congruent, then the triangles are similar
o        a point that divides a line segment into two congruent parts
o        a segment between two points A and B with a specified direction from A to B or from B to A and a standard distance between the two points
o        a transformation that changes the size but not the shape of a figure, either by enlarging or shrinking it
o        a transformation that changes the size but not the shape of a figure, either by enlarging or shrinking it
o        absolute value of the scale factor is greater than one. enlargement
o        absolute value of the scale factor is less than one. reduction
o        an angle bisector in a triangle separates the opposite side into segments that have the same ratio as the other two sides
o        an equation stating that two ratios are equal
o        if a directed line segment has endpoints (x1, y1) and (x2, y2), the coordinates of the point that separates the directed line segment into a ratio of m:n are:
o        if a line intersects two sides of a triangle and separates the sides into corresponding segments of proportional lengths, then the line is parallel to the third side.
o        if a point separates the side of a triangle into segments that have the same ratio as the other two sides, then the line segment from the opposite vertex to the point bisects the angle
o        ​

Answer 1

2. Given the points A, B, C, D, calculate:

(a) the angle B of the triangle ABC

(b) the area of the triangle ABC

(c) the median BE of the triangle ABC

(d) the height AH of the triangle ABC

(e) the volume of tetrahedron ABCD

(f) the point E so that ABCE is a parallelogram.

A(-1, 2, -3), B(4, -1, 0), C(2, 1, -2), D( 3,4,5)​

Explanation: