Mid-Segment Theorem Triangle

In the given figure of triangle ABC , AM = BM , AN = 5 cm and BC = 7 cm. If MN II BC , find the length of AC and its correct reason :

• 5 cm; Mid-point Theorem

• 10 cm; Converse of Mid-point Theorem

• 7 cm; Equal Intercept Theorem

• 10 cm; Mid-point Theorem

• 3 cm

• 6 cm

• 12 cm

• Can not be determined

In a ΔABC, X and Y are mid-points of the sides AB and AC respectively. If BC = 5 cm, AB = 7 cm and AC = 6 cm, the perimeter of trapezium XBCY is:

• 14 cm

• 18 cm

• 9 cm

• 16 cm

QR is a midsegment of triangle FGH. Solve for the value of x?

• 5.5

• 11

• -5.5

• -11

QR is a midsegment of triangle BCD. Solve for the value of x.

• 11

• 18

• 9

• -7

QR is a midsegment of triangle WXY. What is the length of segment WY?

• 3

• 6

• 9

• 12

QR is a midsegment of triangle WUV. What is the length of segment QR?

Mathematical Equivalence

ON

In a ΔABC, D, E and F are the mid-points of the sides BC, CA and AB respectively. If AB = 5 cm, BC = 5.2 cm and CA = 6.4 cm, the perimeter of triangle DEF is:

In the given triangle ABC , AP = BP = 8 cm, AQ = CQ = 9 cm, BC = 6 cm and PQ = x cm. Then the value of x along with its correct reason is:

• 6 cm;Equal Intercept Theorem

• 3 cm; Mid-point Theorem

• 4 cm; Converse of Mid-point Theorem

• 4.5 cm; Mid-point Theorem

What segment is parallel to EF?

• Segment PM

• Segment MN

• Segment NP

• Segment FG