Advertisements
Advertisements
प्रश्न
In the following figure, AB = AD and ∠BAC = ∠DAC. Then
- ∆ ______ ≅ ∆ABC.
- BC = ______.
- ∠BCA = ______.
- Line segment AC bisects ______ and ______.
Advertisements
उत्तर
- ∆ADC ≅ ∆ABC
- BC = DC
- ∠BCA = ∠DCA
- Line segment AC bisects ∠BAD and ∠BCD.
Explanation:
In ∆ABC and ∆ADC,
AC = AC ...[Common]
∠BAC = ∠DAC ...[Given]
AB = AD ...[Given]
∴ ∆ABC ≅ ∆ADC ...[SAS criterion]
∴ BC = DC ...[By C.P.C.T.]
And ∠BCA = ∠DCA ...[By C.P.C.T.]
APPEARS IN
संबंधित प्रश्न
In Fig,
AB = AC and AD is the bisector of ∠BAC.
(i) State three pairs of equal parts in triangles ADB and ADC.
(ii) Is ∆ADB ≅ ∆ADC? Give reasons.
(iii) Is ∠B = ∠C? Give reasons.
In the figure, given that ∠1 = ∠2 and ∠3 ≡ ∠4. Prove that ∆MUG ≡ ∆TUB
Construct a triangle PQR with given conditions.
∠Q = 90°, ∠R = 42° and QR = 5.5 cm
In the following figure, ∆PQR ≅ ∆ ______.
In the following figure, ΔPQR ≅ Δ ______.
In the following figure, which pairs of triangles are congruent by SAS congruence criterion (condition)? if congruent, write the congruence of the two triangles in symbolic form.
In the following figure, which pairs of triangles are congruent by SAS congruence criterion (condition)? if congruent, write the congruence of the two triangles in symbolic form.
In the following figure, which pairs of triangles are congruent by SAS congruence criterion (condition)? if congruent, write the congruence of the two triangles in symbolic form.
State which of the following pairs of triangles are congruent. If yes, write them in symbolic form (you may draw a rough figure).
∆PQR: PQ = 3.5 cm, QR = 4.0 cm, ∠Q = 60°
∆STU: ST = 3.5 cm, TU = 4 cm, ∠T = 60°
In the following figure, DE = IH, EG = FI and ∠E = ∠I. Is ∆DEF ≅ ∆HIG? If yes, by which congruence criterion?
