Special Segments in Triangles 2020

Front

What is a midsegment in a triangle?

Back

A midsegment is a segment that connects the midpoints of two sides of a triangle. It is parallel to the third side and its length is half the length of that side.

Tags

CCSS.HSG.SRT.B.4

Front

How many midsegments does a triangle have?

Back

A triangle has 3 midsegments, one for each pair of sides.

Tags

CCSS.HSG.SRT.B.4

Front

What is the relationship between a midsegment and the sides of a triangle?

Back

The midsegment is parallel to the third side and its length is half the length of that side.

Tags

CCSS.HSG.SRT.B.4

Front

What is an angle bisector in a triangle?

Back

An angle bisector is a segment that divides an angle into two equal angles.

Tags

CCSS.HSG.CO.C.9

Front

What is a median in a triangle?

Back

A median is a segment that connects a vertex of the triangle to the midpoint of the opposite side.

Front

What is an altitude in a triangle?

Back

An altitude is a perpendicular segment from a vertex to the line containing the opposite side.

Front

What is a perpendicular bisector in a triangle?

Back

A perpendicular bisector is a line that divides a segment into two equal parts at a right angle.

Front

If QR is a midsegment of triangle FGH, what can be said about its length?

Back

QR is half the length of the side of triangle FGH that is parallel to it.

Tags

CCSS.HSG.SRT.B.4

Front

What is the significance of the markings on segments in triangle diagrams?

Back

Markings indicate specific properties such as midsegments, angle bisectors, medians, or altitudes.

Tags

CCSS.HSG.CO.C.10

Front

How do you find the length of a midsegment?

Back

To find the length of a midsegment, measure the lengths of the two sides it connects and use the formula: Length of midsegment = (Length of side 1 + Length of side 2) / 2.