Altitudes, Medians

Which of the following describes a median of a triangle?

• A segment that passes through the middle of the triangle.
• A segment with endpoints at the vertex and midpoint of the opposite side.
• A segment that connects two midpoints of two sides.
• A segment that connects the vertex and the opposite side at 90 degrees. 

Which of the following describes an altitude of a triangle?

• A segment that passes through the middle of the triangle.
• A segment with endpoints at the vertex and midpoint of the opposite side.
• A segment that connects two midpoints of two sides.
• A segment that connects the vertex and the opposite side at 90 degrees. 

Which of the following segments represents a median?

• BX
• AZ
• AC
• BZ

Which of the following segments represents an altitude?

• BX
• AZ
• AC
• BZ

Given AM is the median, which of the following statements is false?

• BM = MC
• BC = 2MC
• MB = CB
• MC = BM

Given SA is the altitude, which of the following statements is false?

• ∠SAR = 90
• ∠RAS ≅ ∠SAT
• ∠SAT = 90
• ∠TSR = 90

Given: SA is the altitude. Which of the following is true?

• ∠STR = 90
• ∠AST = 90
• ∠SAR = 90
• ∠ARS = 90

Given: XZ is the median, WY=14. Find XY.

• XY = 14
• XY = 7
• XY = 10
• XY = 28

Given: XZ is the median, XY=8. Find WY.

• WY = 16
• WY = 8
• WY = 4
• WY = 32

Given: AX is the altitude, ∠CAB≅∠B, ∠C=50°. Find ∠B.

• ∠B=50°
• ∠B=60°
• ∠B=65°
• ∠B=90°