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Given: angle 1 is congruent to angle 2, angle 3 is congruent to angle 4. AB=5cm, BC= 5cm.Prove: triangle AEB is congruent to triangle CEB(ignore the congruent markings)

Given Angle 1 Is Congruent To Angle 2 Angle 3 Is Congruent To Angle 4 AB5cm BC 5cmProve Triangle AEB Is Congruent To Triangle CEBignore The Congruent Markings class=

Sagot :

statement: ∠1 = ∠2

reason: given

statement: ∠3 = ∠4

reason: given

statement: triangle AFB similar to triangle BCD

reason: similar triangles by case AA (angle-angle)

statement: AB = BC

reason: given

statement triangle AFB congruent to triangle BCD

reason: similar triangles with corresponding sides congruent.

statement: ∠EFB = ∠EDB

reason: corresponding external angles of congruent triangles

statement: FB = BD

reason: corresponding sides of congruent triangles

statement: EB is the height of triangle ACE relative to side AC

reason: ACE is isosceles and B is the midpoint of AC

statement: AEB is similar to CEB

reason: similar triangles by case AA (angle-angle)

statement: AEB is congruent to CEB

reason: similar triangles with same corresponding side (EB)

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