Chapter 5 Mid-Chapter Quiz

Which of the following can intersect outside a triangle?

• angle bisectors

• medians

• altitudes

• sides

What is the name of the point of concurrency of the altitudes of a triangle?

• orthocenter

• circumcenter

• incenter

• centroid

What is the name of the point of concurrency of the medians of a triangle?

• orthocenter

• circumcenter

• incenter

• centroid

Name the longest segment in the diagram at right.

• BD

• BC

• CD

• cannot tell

PS is the perpendicular bisector of QR and QR is the perpendicular bisector of PS. If PQ = 2x + 9 and QS = 5x – 12, find x.

• 2

• 3

• 5

• 7

Write an inequality to describe the possible values of x.

• x > 5

• x < 5

• x ≥ 5

• x ≤ 5

Which of the following angles have a measure greater than ∠1?

• ∠2

• ∠3

• ∠4

• None of the above

An advertising company is designing a corporate flag in the shape of an isosceles triangle. The right-hand edge of the company logo will be placed at the centroid, L, of ΔABC. The length of the altitude CD is 24 inches. How far is the right-hand edge of the logo from the vertex C?

• 8 inches

• 12 inches

• 16 inches

• 18 inches

In ΔXYZ, P is the centroid and YC = 15. Find the length of YZ.

• 20

• 30

• 45

• 60