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PLEASE ANSWER high school level Geometry math problems!!!?

1)

In the diagram: GO TO http://castlelearning.com/review/Courses/geometry/... for diagram

line RL perpendicular to line LP and M is the midpoint of line TP . Which statement could be used to prove ΔTMR ≅ ΔPML?

1. SAS ≅ SAS

2. AAS ≅ AAS

3. HL ≅ HL

4. SSS ≅ SSS

2)

In the diagram, Click http://castlelearning.com/review/Courses/geometry/... TO SEE DIAGRAM

Line PR ≅ line SQ,line PR ⊥ line RQ, and line SQ ⊥ line RQ . Which statement can be used to prove that ΔPQR ≅ ΔSRQ?

1. AAS ≅ AAS

2. SAS ≅ SAS

3. HL ≅ HL

4. SSS ≅ SSS

3)

In the accompanying diagram GO 2 http://castlelearning.com/review/Courses/geometry/...

TO SEE DIAGRAM

Given:

THE diagram of parallelogram ABCD, Line DE ≅ line BF .

Triangle EGC can be proved congruent to triangle FGA by

1. HL ≅ HL

2. AAA ≅ AAA

3. AAS ≅ AAS

4. SSA ≅ SSA

4)

In the accompanying diagram, GO 2 http://castlelearning.com/review/Courses/geometry/...

Line AB and line CD intersect at E.

If m∠AEC = 4x - 40 and m∠BED = x + 50, find the number of degrees in m∠AEC.

WHAT DOES m∠AEC = __________?

If you have time please give explanations!!!

2 Answers

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  • 1 decade ago
    Favorite Answer

    1. AAS because

    the right angle

    the vertical angle in the middle

    and then the midpoint creating 2 congruent lines

    2. SAS because

    PR is congruent to SQ

    the right angles

    both share RQ

    3. AASbecause

    EC would be congruent to AF

    vertical angles

    <ECG woud be congruent to <FAG

    4. m <AEC would be 80 degrees

    becuase <AEC is congruent to <BED since they are vertical angles and you would put them equal to each other

    4x - 40 = x + 50

    3x - 40 = 50

    3x = 90

    x = 30

    then you plug in 30 in the equation for <AEC

    <AEC = 4 (30) - 40

    120 - 40

    <AEC = 80 degrees

    HOPE THIS HELPS!!!!

    Source(s): did this about 3 weeks ago in GEOMETRY class
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  • SPB
    Lv 6
    1 decade ago

    1. AAS

    2. SAS

    3. AAA

    4. 80

    opposite angles are congruent so

    4x - 40 = x + 50

    4x = x + 90

    3x = 90

    x = 30

    4x-40

    120 - 40 = 80

    It's been a long time...check my answers

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