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1. MODERN GEOMETRY Sections 7.3
Thompson

2. ANNOUNCEMENTS
Exam IV (Chapter 7)
Thursday 4/16
Teaching Presentations
Tuesday 4/21 & Thursday 4/23
Final Exam (Cumulative)
Thursday 5/7

3. TANGENT LINE

4. CONSTRUCTING TANGENTS
TO CIRCLE

5. CONSTRUCTING TANGENTS
1. Construct Circle C with radius ≈ 1in
2. Plot pt A somewhere outside circle,
(maybe 2 – 3 inches away)
3. Draw tangents from A to Circle C (How
Many?)
4. Mark intersection points as E and F
5. Measure AE and AF
6. Conjecture

6. CONGRUENT TANGENTS

7. SECANT LINE

8. INTERSECTING SECANTS – 3
CASES
“Inscribed Angle”“Intersecting Chords”

9. CONSTRUCTING
INTERSECTING SECANTS
1. Construct Circle
2. Construct two intersecting
secants (chords) (that don’t
intersect at center)
3. Measure the intersection
angle
4. Measure the resulting arc
measures 𝑚 𝑀𝐴 and 𝑚 𝐻𝑇
5. Conjecture of the angle
relationships?

10. INTERIOR SECANT ANGLE

11. CONSTRUCTING
INTERSECTING SECANTS
1. Construct Circle T
2. Construct two secants that
intersect outside of the
circle at A
3. Find m∠A
4. Measure the resulting arc
measures 𝑚 𝐶𝐸 and 𝑚 𝐵𝐷
5. Conjecture of the angle
relationships?

12. EXTERIOR SECANT ANGLE

13. SECANT-TANGENT
INTERSECTION – 2 CASES
These can be derived from earlier theorems

14. EXTERIOR SECANT-TANGENT

15. VERTEX SECANT-TANGENT

16. TANGENTS FROM A POINT

17. CONSTRUCTING SECANTS
FROM A PT
1. Construct Circle T
2. Construct point J outside
of circle
3. Construct two secants
from J
4. Name the 4 intersection
points
5. Measure the 4 segment
lengths
6. Conjecture of the segment

18. SECANTS FROM A POINT

19. SECANT-TANGENT FROM A
POINT

20. CIRCLE PROPERTIES -
SUMMARY
See Page 391

21. INSCRIBED CIRCLE – (GIVEN
THE CIRCLE)

22. How can we construct a
circumscribed triangle that is:
Right?
Equiangular?
Isosceles?
INSCRIBED CIRCLE – (GIVEN
THE CIRCLE)

23. INSCRIBING A CIRCLE GIVEN
A TRIANGLE
1.Construct a 3,4,5 right triangle
2.Construct the circle that is
inscribed in the triangle
We’ll learn this next class!

24. 3
4
5
A
B
C
P
Q
R x
x
y
y
BQandRC
Find :

25. HOMEWORK (EXAM
QUESTIONS!)
Page 369
1 – 4, 5 – 30 odd, 39, 43,
48, 57
Page 378
1 – 11 odd, 19 – 22
Page 392
1 – 29 odd