In the figure, transversal m intersects parallel lines į and k. Part B Based on the given figure, a student wrote these statements to prove that if a transversal intersects two parallel lines, alternate interior angles have equal measure. Step 1: m25 + m26 = 180°;m23+m22%= 180° Step 2: m5 + m26= m3 + mZ2 Step 3: mZ6 = m Z 2 Step 4: ? Step 5: m2 = mZ2 Step 6: mZ5 = m23 1 4/3 8 7. What statement is missing in Step 4? am25+m26 = m Z 3 + m Z4 (b) m25+m26=mZ1+ m24 ©m25+m22 = m Z 3 + m2 Om 5+mZ8 = m Z 3 + m2
In the figure, transversal m intersects parallel lines į and k. Part B Based on the given figure, a student wrote these statements to prove that if a transversal intersects two parallel lines, alternate interior angles have equal measure. Step 1: m25 + m26 = 180°;m23+m22%= 180° Step 2: m5 + m26= m3 + mZ2 Step 3: mZ6 = m Z 2 Step 4: ? Step 5: m2 = mZ2 Step 6: mZ5 = m23 1 4/3 8 7. What statement is missing in Step 4? am25+m26 = m Z 3 + m Z4 (b) m25+m26=mZ1+ m24 ©m25+m22 = m Z 3 + m2 Om 5+mZ8 = m Z 3 + m2
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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Transcribed Image Text:Question 2
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Line
X+Y
Guide
In the figure, transversal m intersects parallel lines i
and k.
Part B
Based on the given figure, a student wrote these statements to prove that if a
transversal intersects two parallel lines, alternate interior angles have equal
measure.
1
Step 1: m5 + m26 = 180°; m23+ mZ2= 180°
4/3
Step 2: m25 + m 6 = mZ3 +m/2
Step 3: m6 = m 2 2
Step 4: ?
Step 5: m2 = m /2
5/6
8.
Step 6: m5 = m 3
What statement is missing in Step 4?
am 5+m 26 = m Z 3 + m24
b) m25+ m 6 = m Z1 +m Z4
© m25+ m22= mZ3+ m22
dm25+ m Z8 = m Z 3 + m2
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