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Chapter 4: Q6. (page 133)

Write proofs in two-column form.

Given:鈭�1鈮�鈭�2;鈭�3鈮�鈭�4

Prove:螖ADB鈮�螖CBD

Short Answer

Expert verified

Statement

Reason

1.鈭�1鈮�鈭�2

Given

2.BD炉鈮�BD炉

Common line segment

3.鈭�3鈮�鈭�4

Given

4.螖ADB鈮�螖CBD

ASA congruency criteria

Step by step solution

01

Step 1. Show that BD¯≅BD¯.

Line segmentBD炉 is common in both triangles, by reflexive property of congruencyBD炉 is congruent to itself

BD炉鈮�BD炉

02

Step 2. Show that ΔADB≅ΔCBD.

From step 1 and given

螖ADB鈮�螖CBDby ASA (Angle-Side-Angle) congruency criteria

03

Step 3. Write two column proof.

Statement

Reason

1.鈭�1鈮�鈭�2

Given

2.BD炉鈮�BD炉

Common line segment

3.鈭�3鈮�鈭�4

Given

4.螖ADB鈮�螖CBD

ASA congruency criteria

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Most popular questions from this chapter

Describe your plan for proving the following.

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