Find and answer the three questions inside the following two-column proof. Do not assume anything unless it is actually shown in the picture STATEMENTS REASONS 1. Why can the statement to the left be made? a. Because RSTU is a parallelogram. RUIST RS || TU b. Because RSTU appears to be a parallelogram in the diagram. c. Because of the labels of the vertices. d. Because of the arrows on the line segments. 2. Which is the correct statement? RU is a transversal of RS and TU RU intersects RS Definition of transversal. TU intersects RSand RU ST ang RU are parallel to each other 3. If two lines are cut by a transversal, the interior angles on the same side of the transversal are supplementary. a. perpendicular Angles Rand U are supplementary. b. intersecting C. parallel d. opposite

Elementary Geometry For College Students, 7e
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ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
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Find and answer the three questions inside the following two-column proof. Do not assume anything unless it is actually shown in the picture.
STATEMENTS
REASONS
1. Why can the statement to the left be made?
a. Because RSTU is a parallelogram.
RU || ST
RS|| TU
b. Because RSTU appears to be a parallelogram in the diagram.
c. Because of the labels of the vertices.
d. Because of the arrows on the line segments.
2. Which is the correct statement?
a.
RO is a transversal of RS and TU
RU
intersects RS
Definition of transversal.
G. TU intersects
RS
RU
and
ST
RU
are parallel to each other.
and
3. If two
lines are cut by a transversal, the interior angles on the same side of the transversal are supplementary.
a. perpendicular
Angles R and U are supplementary.
b. intersecting
C. parallel
d. opposite
Transcribed Image Text:Find and answer the three questions inside the following two-column proof. Do not assume anything unless it is actually shown in the picture. STATEMENTS REASONS 1. Why can the statement to the left be made? a. Because RSTU is a parallelogram. RU || ST RS|| TU b. Because RSTU appears to be a parallelogram in the diagram. c. Because of the labels of the vertices. d. Because of the arrows on the line segments. 2. Which is the correct statement? a. RO is a transversal of RS and TU RU intersects RS Definition of transversal. G. TU intersects RS RU and ST RU are parallel to each other. and 3. If two lines are cut by a transversal, the interior angles on the same side of the transversal are supplementary. a. perpendicular Angles R and U are supplementary. b. intersecting C. parallel d. opposite
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