5-Minute Check 1
13
Over Lesson 5–1 A. –5 B. 0.5 C. 5 D. 10 In the figure, A is the circumcenter of ΔLMN. Find y if LO = 8y + 9 and ON = 12y – 11.
description
In the figure, A is the circumcenter of Δ LMN . Find y if LO = 8 y + 9 and ON = 12 y – 11. A. –5 B. 0.5 C. 5 D. 10. 5-Minute Check 1. In the figure, point D is the incenter of Δ ABC . What segment is congruent to DG ?. ___. ___. A. DE B. DA C. DC D. DB. ___. ___. - PowerPoint PPT Presentation
Transcript of 5-Minute Check 1
Over Lesson 5–1
A. –5
B. 0.5
C. 5
D. 10
In the figure, A is the circumcenter of ΔLMN. Find y if LO = 8y + 9 and ON = 12y – 11.
Over Lesson 5–1
In the figure, point D is the incenter of ΔABC. What segment is congruent to DG?
___
A. DE
B. DA
C. DC
D. DB
___
___
___
___
Over Lesson 5–1
A. GCD
B. DCG
C. DFB
D. ADE
In the figure, point D is the incenter of ΔABC. What angle is congruent to DCF?
Use the Centroid Theorem
In ΔXYZ, P is the centroid and YV = 12. Find YP and PV.
Centroid Theorem
YV = 12
Simplify.
Use the Centroid Theorem
Answer: YP = 8; PV = 4
YP + PV = YV Segment Addition
8 + PV = 12 YP = 8
PV = 4 Subtract 8 from each side.
A. LR = 15; RO = 15
B. LR = 20; RO = 10
C. LR = 17; RO = 13
D. LR = 18; RO = 12
In ΔLNP, R is the centroid and LO = 30. Find LR and RO.
Use the Centroid Theorem
In ΔABC, CG = 4. Find GE.
Use the Centroid Theorem
Centroid Theorem
CG = 4
6 = CE
Use the Centroid Theorem
Answer: GE = 2
Segment AdditionCG + GE = CE
Substitution4 + GE = 6
Subtract 4 from each side.GE = 2
A. 4
B. 6
C. 16
D. 8
In ΔJLN, JP = 16. Find PM.
