How do I know what is the segment of a triangle?

Mathematics

1 answer:

nekit [7.7K]3 years ago

5 0

A median of a triangle is a segment joining any vertex of the triangle to the midpoint of the opposite side. All triangles have three medians, which, when drawn, will intersect at one point in the interior of the triangle called the centroid. The centroid of a triangle divides the medians into a 2:1 ratio.

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Sholpan [36]

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3 years ago

Drag the tiles to the correct boxes to complete the pairs, In the figure, lines H and KL are parallel. TH K E G D Match each ang

xz_007 [3.2K]

The angle relationship and their reasons are:

m∠HED = m∠FEJ ---> Vertical angles theorem

m∠KFE = m∠DEH ---> Alternate interior angles theorem

m∠LFG = m∠DEH ---> Alternate exterior angles theorem

m∠JEF + m∠LFE = 180° ---> same-side interior angles theorem

m∠DEJ = m∠EFL ---> Corresponding interior angles theorem

m∠LFG + m∠GFK = 180 ---> linear pair

The angle pairs are formed based on their relative positions. The following shows each angle relationship and their reasons:

∠HED and ∠FEJ are directly vertically opposite each other, therefore, they are equal based on the vertical angles theorem.

m∠HED = m∠FEJ ---> Vertical angles theorem

∠KFE and ∠FEJ are alternate interior angles, therefore, they are equal based on the alternate interior angles theorem.

m∠KFE = m∠DEH ---> Alternate interior angles theorem

∠LFG and ∠FEJ are alternate exterior angles, therefore, they are equal based on the alternate exterior angles theorem.

m∠LFG = m∠DEH ---> Alternate exterior angles theorem

∠JEF and ∠LFE are interior angles on same side of the transversal, therefore, the sum of both angles equal 180 degrees based on the same-side interior angles theorem.