Answer and Step-by-step explanation:
8. HL theorem - Has a right angle and the legs.
9. ASA - Angle A is congruent to angle B because of interior angles theorem, side AM is congruent to side MB because of midpoint theorem, angle AMC is congruent to angle BMD because of vertical angles theorem.
10. SSS - The two sides are congruent, and the hypotenuse is shared, making it congruent.
11. SAS - The two sides are congruent, and the angle between the congruent sides are congruent.
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Answer:
The fourth answer
Step-by-step explanation:
Answer: See step by step
Step-by-step explanation:
Since GJ is the perpendicular bisector of HK it bisects HK and make J the midpoint of HK. Since J is the midpoint we can construct a congruence statement of KJ≅JH. Then we know in the diagram Angle MJK= 90°, becuase it form a ⊥ line so it is 90° that also means MHJ forms a 90 ° angles becuase they also form a ⊥ line. So that means KJM≅HJM because of transitive property(a=b, b=c, then a=c). Both triangles also include side MJ, so using the reflexitive property( a=a),They are congruent. Since we proved they have a two congruent sides, with a included angle in between them we can use the SAS theorem (Side-Angle-Side) to prove they are congruent. So ΔKMJ≅ΔHMJ Then KM=HM by CPCTC.
A quadrant is an instrument that is used to measure angles up to 90 degrees