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1. Which is TRUE about a set of Vertical Angles shown in the figure 1? * Figure 1 Vertical angles are always congruent Roth pair of uortionl anglor aluınun cume al angles

1. Which is TRUE about a set of Vertical Angles shown in the figure 1? * Figure 1 Vertical angles are always congruent Roth pair of uortionl anglor aluınun cume al angles

Elementary Geometry For College Students, 7e
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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Statements 9. For numbers 9-12, refer to figure Reasons ANH sosceles 4. Gven Definition of an iisosceles triangle number 4. GIVEN: AS is an angle Os the midpoint of TH 5. bisector of 2CAN. If 21= 50° and 22 = Definition of middpoint hosceles triangle theorem 7. (3x+5)*. What is the value of x? * AINO AHNO 4NO LHNO A Given D. SAS postulate F. S5S postulate FIGURE 3 Firure a 15 30 45 60 Figure 3 10.What is the measure of 22? 11.What is the measure of 23? 12.What is the measure of 24? Use figure 3 in answering numbers 4 to 8. supply the reason for each statement or vice versa. Choose your answer from the box that follows. *
Transcribed Image Text:Statements 9. For numbers 9-12, refer to figure Reasons ANH sosceles 4. Gven Definition of an iisosceles triangle number 4. GIVEN: AS is an angle Os the midpoint of TH 5. bisector of 2CAN. If 21= 50° and 22 = Definition of middpoint hosceles triangle theorem 7. (3x+5)*. What is the value of x? * AINO AHNO 4NO LHNO A Given D. SAS postulate F. S5S postulate FIGURE 3 Firure a 15 30 45 60 Figure 3 10.What is the measure of 22? 11.What is the measure of 23? 12.What is the measure of 24? Use figure 3 in answering numbers 4 to 8. supply the reason for each statement or vice versa. Choose your answer from the box that follows. *
For numbers 13-15, refer to figure number 5 1. Which is TRUE about a set of Vertical Angles shown in the figure 1? * Figure 1 Vertical angles are always congruent Figure 5 Both pair of vertical angles always sums 360° Adjacent angles are supplementary 13. Suppose D is the midpoint of AC, AD = 9x and DC = x+4. Find AC. * All of the above 6.5 9. 2. In figure 2, what property justifies the statement "if A LMN = A STU, and 9.5 A STU = AXYZ, then A LMN = AXYZ" * 12 Figure 2 14. Suppose BD is an angle bisector of ZABC. If MZABD = 30°, what is the Reflexive Property mzA?* O Symmetric Property 10 Transitive Property 30 СРСТС 50 60 3. If A LMN = AXYZ, then LM = ?* 15. Suppose BD is an angle bisector of ZABC. If MZABD = x°, and mzCBD = 2x - 30, then x = Figure 2 10 MN 30 ST 50 SU 60 LN O O O O O O O O O O O O O O O O
Transcribed Image Text:For numbers 13-15, refer to figure number 5 1. Which is TRUE about a set of Vertical Angles shown in the figure 1? * Figure 1 Vertical angles are always congruent Figure 5 Both pair of vertical angles always sums 360° Adjacent angles are supplementary 13. Suppose D is the midpoint of AC, AD = 9x and DC = x+4. Find AC. * All of the above 6.5 9. 2. In figure 2, what property justifies the statement "if A LMN = A STU, and 9.5 A STU = AXYZ, then A LMN = AXYZ" * 12 Figure 2 14. Suppose BD is an angle bisector of ZABC. If MZABD = 30°, what is the Reflexive Property mzA?* O Symmetric Property 10 Transitive Property 30 СРСТС 50 60 3. If A LMN = AXYZ, then LM = ?* 15. Suppose BD is an angle bisector of ZABC. If MZABD = x°, and mzCBD = 2x - 30, then x = Figure 2 10 MN 30 ST 50 SU 60 LN O O O O O O O O O O O O O O O O
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