G9-Quiz # 3 Midline THEOREM

The (a)   whose endpoints are the midpoints of the two sides of a triangle and parallel to the third side is equal to one half the length of the third side.

M and N are the midpoints of AC and AB respectively.

If MN = 12, then BC = (a)  

M and N are the midpoints of AC and AB respectively.

If AB = 36, then AN = (a)  

M and N are the midpoints of AC and AB respectively.

If MC = 12.5, then AC = (a)  

Find the missing length.

• x = 12
• x = 11
• x = 15
• x = 9

IJ is a midsegment of triangle MLN. What is the length of segment IJ?

• 9

• 6

• 18

• 0

In ∆VES, I and W are the midpoints of VE and ES respectively. If VI = 2x + 5 and IE = 3x - 1, find the value of VE.

• VI = 34

• VI = 18

• VI = 6

• VI = 17

According the the definition of a kite, "A kite is a quadrilateral with..."

• 2 pairs of OPPOSITE congruent sides.
• 2 pairs of CONSECUTIVE congruent sides.
• 4 congruent sides.
• congruent diagonals.

[Multi-Select] In ∆BNS, O and U are the midpoints of BN and NS respectively. If OU = x² + 1, and BS = x² + x + 8, find the value of OU and BS.

• OU = 17, BS = 34

• OU = 10, BS = 20

• OU = 15, BS = 30

• OU = 5, BS = 10

In ∆VES, I and W are the midpoints of VE and ES respectively. If IW = 5x + 3, and VS = 13x - 6, find the value of IW and VS

• IW = 21, VS = 42

• IW = 26, VS = 52

• IW = 23, VS = 46

• IW = 23, VS = 52