Question

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

Answer 1

Answer: B. substitution property

Answer 2

The missing reason in step 8 is   Substitution Property, the correct option is B.

What is Substitution Property?

According to Substitution property, if x = y and y = z, then x = z.

It is a very important property that links the equality of the variables from the equations and thus helping in solving the equations.

The statements are used to prove the property of the angle subtended by the arc at the center of the circle and at the circumference.

The Step 8 has Substitution property as the missing reason as the value from Step 6 is substituted in Step 7.

To know more about Substitution Property

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