15. What makes an intersecting line a perpendicular bisector? * When the two lines meet at a right angle and the segment of each line is consequently equal length When the line intersects a line segment at right angles and divides it into two line segments of equal lengths O When the intersecting line divides the other into two segments of equal lengths When the line intersects a line segment at an obtuse angle and divides it into two line segments of equal lengths

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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15. What makes an intersecting line a perpendicular bisector? *
When the two lines meet at a right angle and the segment of each line is consequently
equal length
When the line intersects a line segment at right angles and divides it into two line
segments of equal lengths
When the intersecting line divides the other into two segments of equal lengths
When the line intersects a line segment at an obtuse angle and divides it into two line
segments of equal lengths
16. Given the figure at the right, what is the length of FD?
F 2x + 24 E
O 16
30
40
Transcribed Image Text:15. What makes an intersecting line a perpendicular bisector? * When the two lines meet at a right angle and the segment of each line is consequently equal length When the line intersects a line segment at right angles and divides it into two line segments of equal lengths When the intersecting line divides the other into two segments of equal lengths When the line intersects a line segment at an obtuse angle and divides it into two line segments of equal lengths 16. Given the figure at the right, what is the length of FD? F 2x + 24 E O 16 30 40
2x + 4
13. Given the figure at the right, what is the length of AD? B
4x
4
6
14. What is the missing reason in the two-column proof below? *
Given: (QS bisoets ZTỌR and SO bisecets ZSR
Prove: ATOS = ARQS
Reasons
1. Given
|2. Definition of angle bisector
3. Reflexive property
Statements
1. QS bisects ZTQR
2. ZTQS = ZROS
3. QS = QS
4. SỌ bisects ZTSR
5. ZTSQ = ZRSQ
6. ATQS = AROS
4. Given
5. Definition of angle bisector
|6.2
sSS Postulate
SAS Postulate
ASA Postulate
SAA Theorem
2.
00
Transcribed Image Text:2x + 4 13. Given the figure at the right, what is the length of AD? B 4x 4 6 14. What is the missing reason in the two-column proof below? * Given: (QS bisoets ZTỌR and SO bisecets ZSR Prove: ATOS = ARQS Reasons 1. Given |2. Definition of angle bisector 3. Reflexive property Statements 1. QS bisects ZTQR 2. ZTQS = ZROS 3. QS = QS 4. SỌ bisects ZTSR 5. ZTSQ = ZRSQ 6. ATQS = AROS 4. Given 5. Definition of angle bisector |6.2 sSS Postulate SAS Postulate ASA Postulate SAA Theorem 2. 00
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