- If George measures that one triangular plot has BC- AC = 4.9 miles, and mzC = 78°, and the other triangular plot 3.2 miles has RT 4.9 miles, mZT= 78°, and ST = 3.2 miles, can he be sure the two plots are congruent? If so, according to what triangle congruence postulate?

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
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2. If George measures that one triangular plot has BC
AC= 4.9 miles, and mzC
3.2 miles
78°, and the other triangular plot
4.9 miles, mZT= 78°, and ST = 3.2 miles, can he be
sure the two plots are congruent? If so, according to what triangle
has RT
congruence postulate?
Transcribed Image Text:2. If George measures that one triangular plot has BC AC= 4.9 miles, and mzC 3.2 miles 78°, and the other triangular plot 4.9 miles, mZT= 78°, and ST = 3.2 miles, can he be sure the two plots are congruent? If so, according to what triangle has RT congruence postulate?
Side-Angle-Side (SAS) Triangle Congruence Postulate:
If two sides and the included angle in one triangle are congruent to
the corresponding sides and angle in another triangle, then the two
triangles are congruent.
Angle-Side-Angle (ASA) Triangle Congruence Postulate:
If two angles and the included side in one triangle are congruent to
the corresponding angles and side in another triangle, then the two
triangles are congruent.
George sketched the two plots he was evaluating and labeled them.
R
A
Transcribed Image Text:Side-Angle-Side (SAS) Triangle Congruence Postulate: If two sides and the included angle in one triangle are congruent to the corresponding sides and angle in another triangle, then the two triangles are congruent. Angle-Side-Angle (ASA) Triangle Congruence Postulate: If two angles and the included side in one triangle are congruent to the corresponding angles and side in another triangle, then the two triangles are congruent. George sketched the two plots he was evaluating and labeled them. R A
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