Converse of BPT
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Consider Δ ABC. If ADDB=AEEC and ∠ ADE = ∠ ACB. Then Δ ABC is an equilateral triangle.
True
False
In the given figure, DE || AC and DC || AP, such that BC = 4 cm and BP = 6 cm, then BEEC is equal to
1 : 1
1 : 3
1 : 2
2 : 1
- Equilateral
- Isosceles
- Right angled
- Scalene
Question 2 (ii)
E and F are points on the sides PQ and PR respectively of a ΔPQR. For the following case, state whether EF || QR.
(ii) PE = 4 cm, QE = 4.5 cm, PF = 8 cm and RF = 9 cm
In triangle ABC, D and E are the points on sides AB and AC respectively. If AB = 18 cm, AD = 8 cm, AE = 12 cm and EC = 15 cm, then which of the following conditions is/are true?
DE∥BC
AE = AD
∠ADE=∠ACB
DE = BD
If and , find the measure of each missing angle.
- 3.5 cm
- 2.5 cm
- 2 cm
- 3 cm
Question 6
In the following figure, A, B and C are points on OP, OQ and OR respectively such that AB || PQ and AC || PR. Show that BC || QR.
Question 5
In the following figure, DE||OQ and DF||OR, show that EF||QR.
In the figure shown below , if PSSQ= PTTR and∠PST= ∠PRQ, then ΔPQR is _______ triangle.
Scalene
Equilateral triangle
Right angled triangle
Isosceles
Question 2 (i)
E and F are points on the sides PQ and PR respectively of a ΔPQR. For the following case, state whether EF || QR.
(i) PE = 3.9 cm, EQ = 3 cm, PF = 3.6 cm and FR = 2.4 cm
- 14 cm
- 7 cm
- 6 cm
- 21
In ΔABC, if DE divides AB and AC in the same ratio, then which of the following options is true?
DE is half of BC
AD = AE
AD = DB
DE and BC are parallel
- 3 m
- 3.5 m
- 3.75 m
1. AN:AC
2. AN:NC
3. NC:AC
In the figure, PQ || AB. CQ = 4.8 cm, QB = 3.6 cm and AB = 6.3 cm. If AP = x, then what is the length of AC in terms of x ?
83x units
53x units
43x units
73x units
equilateral
isosceles
scalene
right angled
- 3 cm
- 1.6 cm
- 4 cm
- 3.5 cm
- 4 cm
- 3.5 cm
- 1.6 cm
- 3 cm
In ΔABC, AC=15 cm and DE∥BC. If ABAD=3, find EC.
5 cm
10 cm
2.5 cm
9 cm
In ΔABC, point D and E lies on the line AB and AC respectively as shown in the figure. Find the measure of ∠AED.
In below shown figure, PSSQ= PTTR and∠PST= ∠PRQ. Then ΔPQR is a/an
In ΔABC, DE || BC and ADDB=35. If AC=5.6 cm, then AE= _____.
2.1 cm
2.4 cm
3.2 cm
3.6 cm
- 1
- 2
- 12
- can't be determined
- DE = BD
- ∠ADE = ∠ACB
- AE = AD
- DE || BC
In ΔABC, point D and E lies on the line AB and AC respectively as shown in the figure. Find the measure of ∠AED.
70∘
75∘
40∘
65∘
In the following figure, ∠AXY=∠AYX.
If BXAX=CYAY, then triangle ABC is isosceles.
False
True