Two angles and the non-included side of one triangle are congruent to the corresponding parts of another triangle. Which congrue
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Given: Circle X, Chords AB and CD, AB <span>≅ CD, distance from AB to X is 9.
1. Circle X
1. Given
2. AB and CD are chords of circle X
2. Given
3. </span>AB ≅ CD
<span>3. Given
4. AB is 9 units from X.
4. Given
<em>(You can combine some of these givens into one step if you want)</em>
5. AB and CD are equidistant from X.
5. </span>When ≅ chords are in the same circle, they are equidistant from the center.
6. CD is 9 units from X.
6. Substitution Property <span>■
Refer to the attached image if you need to.</span>
1. Circle X
1. Given
2. AB and CD are chords of circle X
2. Given
3. </span>AB ≅ CD
<span>3. Given
4. AB is 9 units from X.
4. Given
<em>(You can combine some of these givens into one step if you want)</em>
5. AB and CD are equidistant from X.
5. </span>When ≅ chords are in the same circle, they are equidistant from the center.
6. CD is 9 units from X.
6. Substitution Property <span>■
Refer to the attached image if you need to.</span>