4.7-4.8 Mixed Practice

Front

How many midsegments does a triangle have?

Back

A triangle has 3 midsegments, one for each side.

Front

What is the value of y if 2y + 4 = 10?

Back

The value of y is 3.

Front

Find DE if the triangle has sides of lengths 14, 7, and 28.

Back

DE = 7.

Front

In an obtuse triangle, where do the altitudes meet?

Back

The altitudes meet outside the triangle.

Front

Identify the parallel segment in the triangle: \( \overline{JH}, \overline{PN}, \overline{MP}, \overline{MN} \)

Back

The parallel segment is \( \overline{PN} \).

Front

What is a midsegment in a triangle?

Back

A midsegment is a segment that connects the midpoints of two sides of a triangle.

Front

What is the relationship between the lengths of the midsegments and the sides of the triangle?

Back

The length of a midsegment is half the length of the side it is parallel to.

Front

How do you find the area of a triangle?

Back

The area of a triangle can be found using the formula: Area = \( \frac{1}{2} \times base \times height \).

Front

What is the definition of an obtuse triangle?

Back

An obtuse triangle is a triangle that has one angle greater than 90 degrees.

Front

What is the incenter of a triangle?

Back

The incenter is the point where the angle bisectors of a triangle intersect.