warm-up after 7.4 Day 1:

3. Two supplementary angles have measures 6x˚ and 12x˚. Find the measure of each angle.

1. 2. Find mYZ and mXY.Solve for x.

Geometry 7.4 Day 2 Use Inscribed Angles and

Polygons

Learning Target:I can use inscribed angles and quadilaterals of circles. [G.C.2]

Inscribed Polygon - a polygon with all of its vertices on a ⨀ (the circle is called a circumscribed circle).

inscribed ______________

1.

3. Find m∠B.

If a right Δ is inscribed in a ⨀ , then the hypotenuse is a ___________.

If one side of an inscribed Δ is a diameter, then the Δ is a _______ Δ .

A

B

C

40˚

2. Find mAB.

4. Find the value of x.

A quadrilateral can be inscribed in a ⨀ if and only if its opposite ∠s are supplementary.

A

B

C

D

50˚

5. Find the following measurements.

What do you notice about the measurements of ∠C and ∠A?

Find the value of x and y.6. 7. Find m∠KLG.

8. Find the values of x and y. Then find the m∠A and m∠B.

7.4 Day 2 Exit Problems Find the value of the variables.1. 2.

6

x = _____ y = _____

x˚

y˚

x = _____ y = _____

Assignment:7.4 Day 2 worksheet

Geometry 7.4 Day 2 Wksht Answers

1. Yes, ∠R and ST 2. No 3. No 4. Yes, ∠D and EWF

5. 99˚ 6. 37˚

7. 142˚ 8. 87˚

9. 108˚ 10. 35˚

11. 40˚ 12. 76˚

13. 70˚ 14. 124˚

15. x = 105˚, y = 100˚ 16. 75˚

17. 23.25 18. x = 64, y = 20

19. x = 5 20. x = 5 m∠FDE = 50˚ mVJ = 48˚