Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN: 9781337614085
Author: Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher: Cengage,
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Question
IV. Read and analyze each item carefully and consider all options given. Select the best answer by writing it on your answer sheet. If the answer is not found from the choices write the correct answer. 1. What theorem states that, "If a leg and an acute angle of one right triangle are congruent to a leg and an acute angle of another right triangle, then the triangles are congruent. A. LL Congruence Theorem B. LA Congruence Theorem 2. In the figure at the right, what other information is needed to prove that ASTA ANAT by LL Theorem? A. TA TA B. SA NT C. ST TA D. ND DT 3. In the figure at the right, what is the reason so that ZREG LAET? A. Right Angle Theorem B. HA Theorem C. Vertical Angle Theorem D. HL Theorem C. HA Congruence Theorem D. HL Congruence Theorem T. A R 4. In figure #3, what can you say about ZR and LA? A. They are acute angles. B. They are right angles. C. They are obtuse angle. D. None of the above. T. 5. In figure #3, what theorem is used to prove AREG = AAET? A. LL Congruence Theorem C. HA Congruence Theorem B. LA Theorem D. HL Congruence Theorem 6. In figure at the right, if TA HA, what additional information do we need so that AEAT E ACAH by SAS Postulate A. TE = HC E T- B. EA = CA A, C. ZT LH D. ZE ZC 7. In the figure at the right, what will be the reason so that MO = MO? A. Given B. Congruent sides C. Reflexive Property D. Symmetric Property 8. In the figure at the right, AFIA E AHIT, what is the side corresponding to FA? A. FI С. IT D. HT В. AI T. H.
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Transcribed Image Text:IV. Read and analyze each item carefully and consider all options given. Select the best answer by writing it on your answer sheet. If the answer is not found from the choices write the correct answer. 1. What theorem states that, "If a leg and an acute angle of one right triangle are congruent to a leg and an acute angle of another right triangle, then the triangles are congruent. A. LL Congruence Theorem B. LA Congruence Theorem 2. In the figure at the right, what other information is needed to prove that ASTA ANAT by LL Theorem? A. TA TA B. SA NT C. ST TA D. ND DT 3. In the figure at the right, what is the reason so that ZREG LAET? A. Right Angle Theorem B. HA Theorem C. Vertical Angle Theorem D. HL Theorem C. HA Congruence Theorem D. HL Congruence Theorem T. A R 4. In figure #3, what can you say about ZR and LA? A. They are acute angles. B. They are right angles. C. They are obtuse angle. D. None of the above. T. 5. In figure #3, what theorem is used to prove AREG = AAET? A. LL Congruence Theorem C. HA Congruence Theorem B. LA Theorem D. HL Congruence Theorem 6. In figure at the right, if TA HA, what additional information do we need so that AEAT E ACAH by SAS Postulate A. TE = HC E T- B. EA = CA A, C. ZT LH D. ZE ZC 7. In the figure at the right, what will be the reason so that MO = MO? A. Given B. Congruent sides C. Reflexive Property D. Symmetric Property 8. In the figure at the right, AFIA E AHIT, what is the side corresponding to FA? A. FI С. IT D. HT В. AI T. H.
E 9. AGIV AREV, deduce statement about V. A. V is in the interior of AGIV B. V is the exterior of AREV C. V is the midpoint of IE D. V is collinear with G and I G, R. 10. ATIN ACAN, then ANAC is congruent to C. ΔΤΝΙ D. AINT Α. ΔΙΤΝ B. ANIT 11. What do you call a line that intersects at right angle? A. Intersecting lines B. Parallel lines C. Perpendicular lines Inic D. Skew lines 12. What do you call to a segment that divides the angle into two congruent parts? A. Angle bisector B. Segment bisector 13. In the figure, if OM bisects LLMN, which of the following statements is true? A. LM NM B. LO NM C. ZLOM = LNOM D. LLMO = LNMO C. line segment D. midsegment L- 14. In the figure, MN 1 LP. What is the reason why ZMNL 4 MNP?dobod A. Right angle theorem B. Definition of Perpendicularity C. Definition of angle bisector D. Definition of right angle 15. If AMHA = ATHA by LL Congruence Theorem, what relationship exists between HA and MT? A. HA and MT are perpendicular B. HA and MT are parallel C. HA and MT are congruent D. HA and MT are coinciding 16. What do perpendicular lines form? A. Right angles B. Two intersecting lines 17. What does an angle bisector form? A. Create two congruent segments B. Form a right ang le C. Divide an angle into two congruent parts D. Form a right angle and divide an angle into congruent parts 18. What does a perpendicular bisector form? A. Create two congruent angles B. Form a right angle C. Divide a segment into two congruent parts M L M, T C. Two equal segments D. Two equal segments and right angles
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Transcribed Image Text:E 9. AGIV AREV, deduce statement about V. A. V is in the interior of AGIV B. V is the exterior of AREV C. V is the midpoint of IE D. V is collinear with G and I G, R. 10. ATIN ACAN, then ANAC is congruent to C. ΔΤΝΙ D. AINT Α. ΔΙΤΝ B. ANIT 11. What do you call a line that intersects at right angle? A. Intersecting lines B. Parallel lines C. Perpendicular lines Inic D. Skew lines 12. What do you call to a segment that divides the angle into two congruent parts? A. Angle bisector B. Segment bisector 13. In the figure, if OM bisects LLMN, which of the following statements is true? A. LM NM B. LO NM C. ZLOM = LNOM D. LLMO = LNMO C. line segment D. midsegment L- 14. In the figure, MN 1 LP. What is the reason why ZMNL 4 MNP?dobod A. Right angle theorem B. Definition of Perpendicularity C. Definition of angle bisector D. Definition of right angle 15. If AMHA = ATHA by LL Congruence Theorem, what relationship exists between HA and MT? A. HA and MT are perpendicular B. HA and MT are parallel C. HA and MT are congruent D. HA and MT are coinciding 16. What do perpendicular lines form? A. Right angles B. Two intersecting lines 17. What does an angle bisector form? A. Create two congruent segments B. Form a right ang le C. Divide an angle into two congruent parts D. Form a right angle and divide an angle into congruent parts 18. What does a perpendicular bisector form? A. Create two congruent angles B. Form a right angle C. Divide a segment into two congruent parts M L M, T C. Two equal segments D. Two equal segments and right angles
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