Geometry Study Guide for Sections 5.4, 5.5, and 5.6

BF (line segment)

A median of 🔺ABC is ________.

BD (line segment)

An altitude of 🔺ABC is ________.

<

Find the appropriate symbol to place in the blank. (Not drawn to scale)

XZ < AC

Given the triangle below, ZY is congruent to CB, XY is congruent to AB, and angle B > angle Y, decide which statement is true.

Yes (by the triangle inequality theorem)

Is it possible for a triangle to have sides with the given lengths? 19 cm, 13 cm, 14 cm

right

PR (line segment) is an altitude of 🔺PQR. Therefore, 🔺PQR is _______.

BE > ED

Refer to the figure.

x > 13

Refer to the figure. Choose the correct statement.

ML

Refer to the figure. The longest segment is _______.

angle ACD

Refer to the figure. What is the largest angle that is part of a triangle in the figure?

angle BCA

Refer to the figure. What is the largest angle that is part of a triangle, in the figure?

centroid

The medians of a triangle are concurrent. Their common point is the _______.

True

The medians of a triangles are always in the interior of the triangle.

Less than 20 and greater than 6

Two sides of a triangle have lengths 7 and 13. The third side has a length that is ______.

5, 27

Two sides of a triangle have sides 11 and 16. The length of the third side must be greater than ____ and less than ____.

x > 1/2

Using the Triangle Inequality Theorem, solve for all possible values of x.

5 cm, 12 cm, 16 cm

Which of these lengths could be the sides of a triangle?

6, 8, and 10

Which side lengths allow you to construct a triangle?

LN > NP

Which statement is false for the diagram?