Midpoints and Endpoints

In ∆SIE, L and D are the midpoints of SI and IE respectively. If LS = 6, ID = 8, and SE = 10, find the perimeter of ∆SIE.

• perimeter of ∆SIE is 28 units.

• perimeter of ∆SIE is 38 units.

• perimeter of ∆SIE is 19 units.

• perimeter of ∆SIE is 24 units.

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

In ∆VES, I and W are the midpoints of VE and ES respectively. If IW = 3x + 7 and VS = 26, find the value of x.

• x = 4

• x = 3

• x = 2

• x = 6

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

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 ∆BNS, O and U are the midpoints of BN and NS respectively. If NU = x² + 4x and US = 9x - 4. Find the value of NU.

• NU = 5

• NU = 32

• NU = 1

• NU = 36

In ∆BNS, O and U are the midpoints of BN and NS respectively. If BO = (x + 4)² and ON = 2x² + 5x - 2. Find the value of BN.

• BN = 100

• BN = 2

• BN = 4

• BN = 200

In ∆SIE, L and D are the midpoints of SI and IE respectively. If SE = 14, then what is the value of LD?

• LD = 28

• LD = 7

• LD = 14

• LD = 21

In ∆SIE, L and D are the midpoints of SI and IE respectively. If IS = 20, IE = 26, and SE = 14, find the perimeter of ∆LID.

• perimeter of ∆LID is 30 units.

• perimeter of ∆LID is 20 units.

• perimeter of ∆LID is 60 units.

• perimeter of ∆SIE is 40 units.

In ∆BNS, O and U are the midpoints of BN and NS respectively. List the congruent sides.