Median and Altitude

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. 

Tags

CCSS.HSG.CO.C.10

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. 

Tags

CCSS.HSG.CO.A.1

CCSS.HSG.SRT.D.9

Which of the following segments represents a median?

• BX
• AZ
• AC
• BZ

Tags

CCSS.HSG.CO.C.10

Which of the following segments represents an altitude?

• BX
• AZ
• AC
• BZ

Tags

CCSS.HSG.CO.A.1

CCSS.HSG.SRT.D.9

Which of the following words describes the point shown in the figure?

• Centerpoint
• Orthocenter
• Centroid
• Midpoint

Which of the following words describes the point shown in the figure?

• Centerpoint
• Orthocenter
• Centroid
• Altitude-point

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

Tags

CCSS.HSG.CO.A.1

CCSS.HSG.CO.C.10

CCSS.HSG.CO.C.9

CCSS.HSG.SRT.C.6

Given: SA is the altitude, ∠SRA = 9x + 18, ∠RAS = 8x + 34, ∠ATS = 11x - 9. Find the value of x.

• x = 7
• x = 8
• x = 9
• x = 10

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

CCSS.HSG.CO.C.10

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

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