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Math Help - help with these two triangle lessons.

  1. #1
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    help with these two triangle lessons.

    if someone can please do this for me. thank you very much for who does. the lessons are in the attachments.
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  2. #2
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    Quote Originally Posted by dgenerationx2 View Post
    if someone can please do this for me. thank you very much for who does. the lessons are in the attachments.
    Given: \angle B\cong \angle D \ \ and \ \ \angle BCA \cong \angle DCA.

    Prove: \triangle ABC \cong \triangle ADC

    (1) \angle B\cong \angle D \ \ and \ \ \angle BCA \cong \angle DCA. GIVEN

    (2) \overline {AC}=\overline{AC} REFLEXIVE PROPERTY OF CONGRUENCE

    (3) \triangle ABC \cong \triangle ADC ASA POSTULATE


    Given: \triangle ABC \ \ is \ \ isosceles, \overline{AD} \ \ is \ \ an \ \ altitude

    Prove: \triangle ADB \cong \triangle ADC

    (1) \triangle ABC \ \ is \ \ isosceles, \overline{AD} \ \ is \ \ an \ \ altitude GIVEN

    (2) \angle B \cong \angle C THE BASE ANGLES OF AN ISOSCELES TRIANGLE ARE CONGRUENT

    (3) \overline{AD} \perp \overline{BC} DEFINITION OF ALTITUDE OF A TRIANGLE

    (4) \angle ADB \ \ and \ \ \angle ADC are right angles. PERPENDICULAR LINES MEET TO FORM RIGHT ANGLES.

    (5) \angle ADB \cong \angle ADC ALL RIGHT ANGLES ARE CONGRUENT

    (6) \overline{AD}\cong\overline{AD} REFLEXIVE PROPERTY OF CONGRUENCE

    (7) \triangle ADB \cong \triangle ADC AAS Theorem
    Attached Thumbnails Attached Thumbnails help with these two triangle lessons.-tri1.bmp   help with these two triangle lessons.-tri2.bmp  
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