# Equal Intercept Theorem

## Trending Questions

**Q.**

Out of the three lines AB, CD and EF, if AB is parallel to EF and CD is also parallel to EF, then what is the relation between AB and CD.

**Q.**

Poq is a line ray or is a perpendicular two line OS is another Ray lying between ray. op and or or prove that angle r o s=1\2(qos-pos)

**Q.**In the given triangle, the lines MN, PQ and BC are parallel to each other and AM = MP = PB. Which of the following statements is true?

- Both (b) & (c)
- MN=12 BC
- AN=NQ
- AN = QC

**Q.**

In the given figure, AE||BF||CG , CD=DE and FE = 4cm. Then determine GE.

- 8
- 2
- 12
- 4

**Q.**

In the given triangle, the lines MN, PQ and BC are parallel to each other and AM = MP = PB. Which of the following statements is/are true?

MN=12 BC

AN=NQ

AN = QC

MN=14 BC

**Q.**

The adjoining figure shows a trapezium ABCD in which side AB is parallel to side DC. P and Q are mid - points of diagonals AC and BD respectively. CQ joined and produced meets AB at point R.

Which of the following options are correct?

PQ = 14(AB + DC)

PQ = 12(AB + DC)

PQ = 13(AB -DC)

PQ is parallel to AB

**Q.**

The adjoining figure shows a trapezium ABCD in which side AB is parallel to side DC. P and Q are mid - points of diagonals AC and BD respectively. CQ joined and produced meets AB at point R.

Which of the following options are correct?

PQ is parallel to AB

Neither (a) nor (b)

PQ = 12(AB - DC)

Both (a) and (b)

**Q.**In a triangle ABC, M and P are points on AB and N and Q are points on AC such that, MN || PQ || BC and AM = MP = PB. If AN = 2 cm, then NC =

- 2 cm
- 4 cm
- 6 cm

**Q.**In a △ABC, D and E are points on the sides AB and AC respectively such that DE||BC.

If ADBD=34 and AC=15 cm, find AE .

**Q.**ABCD is a trapezium in which AB \(\parallel\) DC, BD is a diagonal and E is the mid - point of AD. A line is drawn through E parallel to AB intersecting BC at F ( See the given figure). Mark the correct answer option.

**Q.**

If l and m is interesting line and l parallel to p and m is parallel to q show that p and also intersect

**Q.**In the following figure, line PY ∥ side BC, AP=3, PB=6, AY=5, YC=x, then find x.

**Q.**In the given triangle, the lines MN, PQ and BC are parallel to each other and AM = MP = PB. Which of the following statements are true?

- MN=12 BC
- AN=NQ
- AN = QC
- AN = NC

**Q.**l ll m and bisectors of l_RQB and l_DRQ intersect at P. Find the measure of l_RPQ.

**Q.**As shown in figure

If l || m || n and AB=BC, then

- None of these
- AB=QR
- BC=PQ
- PQ=QR

**Q.**The side AC of a triangle ABC is produced to point E so that CE=12 AC. D is the mid-point point of BC and ED produced meets AB at F and CP and DQ are parallel to AB . then FD=14FE ?

- True
- False

**Q.**In triangle ABC; M is mid-point of AB, N is mid-point of AC and D is any point in base BC. Use intercept theorem to show that MN bisects AD.

**Q.**The parallel sides of a trapezoid are 3 cm and 9t cm. The nonparallelsides are 4 cm and 6 cm. A line parallel to the base divides the trapezoidinto two trapezoids of equal perimeters. The ratio in which each of then on parallel sides is divided, if APBQ=PDQC, is ___

- 4:1
- 4:3
- 3:2
- 3:1

**Q.**s and t are transversals cutting a set of parallel lines such that a segment of length 3 in s corresponds to a segment of length 5 in t. What is the length of segment in t corresponding to a segment of length 12 in s?

- 20
- 365
- 14
- 54

**Q.**ABCD is a quadrilateral in which AB || DC and AD || BC. A line MN, parallel to CD, is drawn meets the midpoint M of the side BC which meets AD at N. What can you say about the diagonal AC?

- None of the above.
- Line MN bisects AC.
- Line AC is twice the length AD.
- Line AC is 13rd the length MN.

**Q.**

The slope of the line that is parallel to x – axis is _____.

**Q.**

In the given figure, AP = AQ and the right angles are shown. Which of the following statements can certainly be stated?

AB = AC

AP = PB

AQ = AD

None of these

**Q.**In the figure, lines l and m are transversals to three parallel lines AB, CD and EF. The length of AC = 12, BD = 6 and DF = 2. Find the length of CE.

- 4
- 1
- 2
- 3

**Q.**

If three or more parallel lines cut a line into equal parts, they will cut any line into ____ parts.

Unequal

Four

Equal

Three

**Q.**In the given figure, we have AB ∥ CD ∥ EF. If AB = 6 cm, CD = x BD = 4 cm and DE = y cm, calculate the value of x and y.

**Q.**In a △RST, line l∥side ST and line l intersects side RS and side RT in points P and Q respectively, R−P−S and R−Q−T, then prove that RPPS=RQQT.

**Q.**The side AC of a triangle ABC is produced to point E so that CE=12 AC. D is the mid-point point of BC and ED produced meets AB at F and CP and DQ are parallel to AB .prove that FD=16FE ?

- True
- False

**Q.**In the given triangle, the lines MN, PQ and BC are parallel to each other and AM = MP = PB. Which of the following statements is true?

- AN=NQ
- Both (b) & (c)
- AN = QC
- MN=12 BC

**Q.**State whether the following statement is True or False.

The intercept theorem is also called as a basic proportionality theorem.

- True
- False

**Q.**In the given Δ ABC, M and N are mid-points of AB and AC respectively. D is any point on the base BC. Which of the following relationships will always hold true?

- ME = EN
- BD = DC
- AE = ED
- AD=12 AB