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Spence8900
20.08.2020 •
Mathematics
Read the proof. Given: m∠H = 30°, m∠J = 50°, m∠P = 50°, m∠N = 100° Prove: △HKJ ~ △LNP Triangles H K J and L N P are shown. Triangle L N P is smaller and to the right of triangle H K J. StatementReason 1. m∠H = 30°, m∠J = 50°, m∠P = 50°, m∠N = 100°1. given 2. m∠H + m∠J + m∠K = 180°2. ? 3. 30° + 50° + m∠K = 180°3. substitution property 4. 80° + m∠K = 180°4. addition 5. m∠K = 100°5. subtraction property of equality 6. m∠J = m∠P; m∠K = m∠N6. substitution 7. ∠J ≅ ∠P; ∠K ≅ ∠N7. if angles are equal then they are congruent 8. △HKJ ~ △LNP8. AA similarity theorem Which reason is missing in step 2? CPCTC definition of supplementary angles triangle parts relationship theorem triangle angle sum theorem
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Ответ:
The correct option is;
Triangle angle sum theorem
Step-by-step explanation:
Statement
Reason
1. m∠H = 30° m∠J = 50°, m∠P = 50° m∠N = 100°
Given
2. ∠H + m∠J + m∠K = 180°
(Triangle angle sum theorem)
3. 30° + 50° + m∠K = 180°
(Substitution property)
4. 80° + m∠K = 180°
(addition)
5. m∠K = 100°
(subtraction property)
6. m∠J = m∠P; m∠K = m∠N
(substitution)
7. m∠J ≅ m∠P; m∠K ≅ m∠N
If angles are equal then they are congruent
8. ΔHKJ ~ ΔLNP
AA similarity theorem.
Ответ:
nopafcmdin
Step-by-step explanation: