Additive Property of Angle MeasureAdditive Property of LengthAll right angles are congruentAngles forming a linear pair sum toDefinition of angle bisectorDefinition of equilateral triangleDefinition of midpointVertical Angle Theorem K is the midpoint of GI, GJ 1 GI, and GI 1HI. Complete the proof that AHIK = AJGK.IKGStatementReason1 K is the midpoint of GI Given2 GJ 1 GIGiven3 GI I HIGiven4 ZG = ZI5 GK = IKDefinition of midpoint6 ZGKJ E ZHKI7 AHIK E AJGKASA

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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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Activity 3 Competencies 142 Date: April 20- May 7, 2021 Directions: F in the blank with staterment or reason to complete the proof Choose your answer from the table below Write your answer on the Answer Sheet HPS 10 AABC - AXYZ SAS Similarity Theorem Ba 4Y Vertical Angles are congruent AA Simitarity Theorem Ne P Given AMON and APOQ 1) Given In ABC, 28 is a nght angle In AXYZ. Y is a right angle Prove AAIC- AXYZ Proof Statements 20 ina right angle KYisaright angle Reasons 1. 2 Any two nght angles are congruent 3. 4. 2) Given MN I PO M Prove AMNO -AOPO Proof Statements MN I PO Reasons 2 Alternate Interior Angles are congruent 3. Vertical Angles 4. ZMON PO0 5 AMNO-AOPO 5. 13
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.…
AFHJ is equilateral. Complete the proof that AHIJ = AHGF. G Statement Reason 1 AFHJ is equilateral Given 2 ZHJI ZGFH Given ZIHJ E ZFHG Additive Property of Angle Measure Additive Property of Length All right angles are congruent Angles forming a linear pair sum to 180° Definition of angle bisector Dafinitionfcailateral trianalk 4 HJ FH ΔΗI ΔHGF
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K is the midpoint of GI, GJ I GI, and GII HI. Complete the proof that AHIK = AJGK. I K G Statement Reason 1 K is the midpoint of GI Given 2 GJ 1 GI Given 3 GI 1 HI Given 4 ZG E ZI 5 GK E IK Definition of midpoint 6 ZGKJ = LHKI 7 AHIK E AJGK ASA