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Given: Circle M with inscribed and congruent radii JM and ML Prove: m = What is the missing reason in step 8? Statements Reasons 1. circle M with inscribed ∠KJL and congruent radii JM and ML 1. given 2. △JML is isosceles 2. isos. △s have two congruent sides 3. m∠MJL = m∠MLJ 3. base ∠s of isos. △are ≅ and have = measures 4. m∠MJL + m∠MLJ = 2(m∠MJL) 4. substitution property 5. m∠KML = m∠MJL + m∠MLJ 5. measure of ext. ∠ equals sum of measures of remote int. ∠s of a △ 6. m∠KML =2(m∠MJL) 6. substitution property 7. 7. central ∠ of △ and intercepted arc have same measure 8. 8. ? 9. 9. multiplication property of equality reflexive property substitution property base angles theorem second corollary to the inscribed angles theorem Mark this and return

2 Answers

4 votes

Answer:

substituition property

Explanation:

User Bjoern Stiel
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1 vote
The answer for this is Substitution property

Substitution Property
is considered as one of the most intuitive of the mathematical properties that you'll probably encounter. You may have been using substitution without even knowing it. This property says that if x=y, then in any true equation involving y, you can replace y with x, and yet you'll still have a true equation.

Take a look at the attached example shown below.

Given: Circle M with inscribed and congruent radii JM and ML Prove: m = What is the-example-1
User Benjamin Loison
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5.6k points