Please help me prove that these two triangles are congruent?

Question

http://img183.imageshack.us/img183/4245/trianglesec4.png

This is what I have so far

Statement | Reasons

AB = BC given
DB = DB reflexive prop of seg. congruence


Since there's no SSA postulate, there must be something else missing. can someone please help

Answer 1

use the HL theorem. since there is a right angle those triangles must be right triangles. when proving right triangles congruent you mostly use the HL theorem which is: if the hypotenuse and a leg of one right triangle are congruent to the corresponding parts of another right triangle, then the triangles are congruent.

AB and BC are the legs of the triangles and BD is the hypotenuse of both of the triangles, proving the triangles congruent.

Answer 2

It is congruent by theorm (spelt it wrong) HL when the hypotenuse is congruent and there is a right angle in it then its congruent by HL

Answer 3

the triangles are congruent according to the hypotenuse-leg postulate

the hypotenuse-leg postulate states that if the hypotenuse and leg of a right triangle are equal to the hypotenuse and leg of another right triangle, those triangles are congruent

Answer 4

By Pythagorus, the other sides are equal.

Answer 5

observe that earlier you ought to use SSS, ASA, etc. to tutor triangles congruent, you are able to first set up that the suited 3 pairs of corresponding facets and/or angles are congruent. in this evidence, the belief is to first start up off with the definition of a parallelogram and use attitude relationships for parallel traces and a transversal. those attitude relationships, alongside with making use of the reflexive assets for aspects that triangles have in trouble-free, finally leads to proving triangles congruent (utilising SSS, SAS, etc). This finally leads to proving different attitude or facet congruences (by capacity of a mix of CPCTC and attitude relationships for parallel traces), observed by capacity of proving a 2nd pair of triangles congruent (utilising SSS, SAS, etc), observed by capacity of proving different attitude or facet congruences (by capacity of CPCTC). observe: that is sensible to mark the diagram with attitude and facet congruences, through fact the evidence progresses. Given: ABCD is a parallelogram, with diagonals AC and BD intersecting at M tutor: Triangles ABC and CDA are congruent AB = DC AM = CM and BM = DM a million. ABCD is a parallelogram a million. Given 2. AB || CD; advert || BC 2. Definition of a parallelogram 3. Angles CAB and ACD are congruent 3. If traces are ||, alt. int. angles are congruent Angles ACB and CAD are congruent 4. AC is congruent to AC 4. Reflexive assets of congruence 5. Triangles ABC and CDA are congruent 5. ASA (attitude-facet-attitude) Postulate 6. AB is congruent to CD 6. Corr. aspects of cong. triangles are cong. (CPCTC) 7. AB = CD 7. Definition of congruent segments 8. Angles DBA and BDC are congruent 8. If traces are ||, alt. int. angles are congruent 9. Triangles ABM and CDM are congruent 9. ASA (attitude-facet-attitude) Postulate 10. AM is congruent to CM 10. Corr. aspects of cong. triangles are cong. (CPCTC) BM is congruent to DM 11. AM = CM and BM = DM 11. Definition of congruent segments Lord bless you in the present day!