geometry 7.5 day 1 apply other angle relationships in circles · 2019. 3. 7. · 7.5 day 1...

6

warm-up after 7.4: 1 40˚ 2 80˚ Name what kind of angle (central or inscribed)each numbered angle is and give its measure. m∠2=___ m∠1=___ Name:__________________ Name:__________________ Geometry 7.5 Day 1 Apply Other Angle Relationships In Circles Learning Target : I can find the measures of angles with vertices on & inside a circle. [G.C.2] x˚ 60˚ 70˚ x˚ 220˚

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warm-up after 7.4:

140˚ 2 80˚

Name what kind of angle (central or inscribed)each numbered angle is and give its measure.

m∠2=___m∠1=___

Name:__________________ Name:__________________

Geometry 7.5 Day 1Apply Other Angle Relationships In Circles

Learning Target:

I can find the measures of

angles with vertices on & inside a circle. [G.C.2]

x˚ 60˚70˚x˚

220˚
Review:

Central Angle

x˚

150˚

(vertex at center)

Inscribed Angle (vertex on the circle)60˚

x˚

m ∠ =

m ∠ = 12

m. of intercepted arc

(m. of intercepted arc)

If a tangent and a chord intersect at a point on the circle, then the

C** NOTICE: Vertex ON the circle!

m∠1 =

m∠2 =

measure of an inscribed ∠ = (measure of its intercepted arc)12
Find the indicated measures.

1130˚

3. m∠1

If 2 chords intersect inside a circle, then the 1

2 (intercepted arc + vertical ∠'s intercepted arc)measure of each ∠=

*** Notice: Vertex INSIDE the circle

Angles in the circle
Find the value of the variables.4. 5.

7.6.Find the value of x.
Assignment:7.5 Day 1 worksheet

Vertex on Circle: m of ∠ = (intercepted arc) 12

12

Vertex in the circle: m of ∠= (sum of intercepted arc & vertical ∠'s intercepted arc)

Remember:

Vertex center Circle: m of ∠ = intercepted arc

Geometry 7.5 Day 1 Wksht Answers1. 86˚ 2. 116˚ 3. 82˚

4. 148˚ 5. 74˚

6. 168˚ 7. 7 8. 125˚

9. 7 10. 4

11. 137˚ 12. 90˚, 35˚ 13. 64˚

14. 40˚ 15. 60˚ 16. 85˚

17. 70˚ 18. 17.6 19. 32

20. 40˚ 21. 111˚

SHOW WORK!

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