Question

1. In the given fig., ∠B = ∠E, BD = CE, and ∠1 = ∠2, A Show that ∆ABC ≅ ∆AED. 1 2 B D C E 2. In the given fig., QX and RX are the bisectors of ∠PQR and∠PRQ respectively of ∆PQR, if XS ⊥ QR and XT ⊥ PQ then prove that ∆XTQ ≅ ∆XSQ and PX bisects ∠P. P T x 3. O is any point in the interior of the square ABCD such that OABis an equilateral triangle; Show that CQOD is an isoscelestriangleR. 4. Two lines l and m intersect at the point O and P S is a point on a line n passing through the point O such that P is equidistantfrom M l and m, Prove that n is the bisector of the angle formed by l and m. 5. In the given fig., OA=OB, OC=OD and ∠AOB = ∠COD, provethat AC=BD. O A C D B 6. In the given fig., If ABC is an equilateral triangle and BDC is an isosceles triangle, right-angled at D, then find themeasurement of ∠ABD. A B C D 7. In the given fig., ABCD is a square, EF is parallel to a diagonalBD and EM=FM. Prove that: D A (i) DF = BE (ii) AM bisects ∠BAD

Answer 1

Answer:

its seems like it is worksheet of triangles chapter

We have AE=AD and CE=BD.  

Adding, we get AE+CE=AD+BD

⇒AC=AB.

In triangles  AEB  and ADC, we have

AE=AD ....... (given);

AB=AC ....... (proved);

∠EAB=∠DAC,   (common angle).

By SAS postulate △AEB≅△ADC.

Step-by-step explanation:

Answer 2

Answer:

can you please write by giving space

Show that ΔABD ≅ ΔACE.

Step-by-step explanation: