Math Help Part 3 (Please Help)

2 answers:

5 0

Answer:

(a) median

(b) angle bisector

Step-by-step explanation:

The perpendicular bisector of a side of a triangle is a line perpendicular to the side and passing through its midpoint.
The angle bisector of an angle of a triangle is a straight line that divides the angle into two congruent angles.
A median of a triangle is a line segment drawn from a vertex to the midpoint of the opposite side of the vertex.
An altitude of a triangle is the perpendicular segment from a vertex of a triangle to the opposite side (or the line containing the opposite side).

(a) median

IG = IH ⇒ I is the midpoint GH, BUT it is not perpendicular to FI, so median

(b) angle bisector

m∠XYV = m∠ZYV, BUT YV is not perpendicular to XZ, so angle bisector

m∠BDC = 90° but AD ≠ DC (so not perpendicular bisector)

4 0

I wish I could help but I suck at math

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vesna_86 [32]

Answer:

1. Trapezoid

2. Kite

3. Square, Rhombus

Step-by-step explanation:

Given - Use the properties of quadrilaterals to complete the statements.

To find - A ..... has exactly one pair of parallel sides.

A ....... must have two pairs of adjacent sides congruent.

A ........ must have all congruent sides.

Proof -

A Trapezoid has exactly one pair of parallel sides.

A Kite must have two pairs of adjacent sides congruent.

A Square, Rhombus must have all congruent sides.

Reason -

A square can be defined as a rhombus which is also a rectangle . In other words, a square is a parallelogram with four congruent sides and four right angles.