Relationship Within Triangles

Which of the following segments represents a perpendicular bisector?

• BX

• AZ

• AC

• BZ

Which of these is an angle bisector?

• segment KI

• ray GL

• line JM

• line HJ

Which of these is a median?

• segment KI

• ray GL

• line JM

• line HJ

Which of these is a perpendicular bisector?

• segment KI

• ray GL

• line JM

• line HJ

If segment YW is an angle bisector, which statement is true?

• ∠YWZ is a right angle

• ∠XYW ≅ ∠ZYW

• XW = WZ

• XY = ZY

What is the relationship between the lengths of 𝑄𝑆 and 𝑅𝑆 ?

• QS = RS

• QS < RS

• QS > RS

• Cannot tell

What is the relationship between DC and AD?

• DC = AD

• DC < AD

• DC > AD

• Cannot tell

What is the relationship between the measures of ∠1 and ∠2?

• m∠1 = m∠2

• m∠1 > m∠2

• m∠1 < m∠2

• cannot tell

Ralph wants to plant a garden in the widest corner of his triangular backyard. The backyard is bordered by the back of the house that is 50 feet long, fence A that is 27 feet long, and fence B that is 35 feet long. Which corner has the widest measure? (Hint: Draw a picture.)

• All three corners have the same measurement.

• The corner between fences A and B.

• The corner between the back of the house and fence A.

• The corner between the back of the house and fence B.

Which of these is an altitude?

• segment KI

• ray GL

• line JM

• line HJ