In the diagram shown the following is known:Given: AB bisect ZCBD and BD= BC .Prove: AADB = AACB using rigid motion reasoningAB(a) Explain why we know that M2CBA=mZDBA but wedon't know that M2CAB = MZDAB . Mark the knownequal angles.D(b) A reflection of AABD across AB leaves what points unmoved ("fixed")? Explain why they don't move.(c) The image of D under the reflection in AB must fall on C. This needs both m2CBA= MZDBA andBD = BC . Explain why.(d) Explain why this reflection in AB now shows that AADB = AACB .

(a) Given : AB¯ bisects ∠CBD and BD=BC.As AB¯ is angle bisector of ∠CBD so m∠CBD=m∠DBA.There is no…

In the diagram shown the following is known: Given: AB bisect ZCBD and BD = BC . Prove: AADB = AACB using rigid motion reasoning B (a) Explain why we know that m2CBA= MZDBA but we don't know that M2CAB = MZDAB . Mark the known equal angles. (b) A reflection of AABD across AB leaves what points unmoved ("fixed")? Explain why they don't move. (c) The image of D under the reflection in AB must fall on C. This needs both m2CBA= m2DBA and BD = BC . Explain why. (d) Explain why this reflection in AB now shows that AADB = AACB .

In the diagram shown the following is known: Given: AB bisect ZCBD and BD = BC . Prove: AADB = AACB using rigid motion reasoning B (a) Explain why we know that m2CBA= MZDBA but we don't know that M2CAB = MZDAB . Mark the known equal angles. (b) A reflection of AABD across AB leaves what points unmoved ("fixed")? Explain why they don't move. (c) The image of D under the reflection in AB must fall on C. This needs both m2CBA= m2DBA and BD = BC . Explain why. (d) Explain why this reflection in AB now shows that AADB = AACB .

Elementary Geometry for College Students

6th Edition

ISBN:9781285195698

Author:Daniel C. Alexander, Geralyn M. Koeberlein

Publisher:Daniel C. Alexander, Geralyn M. Koeberlein

Chapter6: Circles

Section6.3: Line And Segment Relationships In The Circle

Problem 38E: The center of a circle of radius 3 inches is at a distance of 20 inches from the center of a circle...

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