MHB Geometry: proving two angles are equal

  • Thread starter Thread starter markosheehan
  • Start date Start date
  • Tags Tags
    Angles Geometry
Click For Summary
In geometry, proving two angles are equal often involves understanding the properties of circles. When considering a circle with diameter OC, the angles subtended by the endpoints of the diameter at any point on the circle are right angles. This means that if two angles are formed by lines intersecting at points on the circumference, and one of those lines is a diameter, the angles are equal. Utilizing the inscribed angle theorem can also aid in establishing angle equality. Understanding these principles is crucial for solving related geometric problems effectively.
markosheehan
Messages
133
Reaction score
0
View attachment 5962

can some one show me how to work this out
 

Attachments

  • WIN_20160908_20_51_25_Pro.jpg
    WIN_20160908_20_51_25_Pro.jpg
    52.4 KB · Views: 114
Mathematics news on Phys.org
Re: geomertry

Hint: What can you say about the circle that has $OC$ as a diameter?
 
Thread 'Erroneously finding discrepancy in transpose rule'

Thread 'Erroneously finding discrepancy in transpose rule'

Obviously, there is something elementary I am missing here. To form the transpose of a matrix, one exchanges rows and columns, so the transpose of a scalar, considered as (or isomorphic to) a one-entry matrix, should stay the same, including if the scalar is a complex number. On the other hand, in the isomorphism between the complex plane and the real plane, a complex number a+bi corresponds to a matrix in the real plane; taking the transpose we get which then corresponds to a-bi...
View full post »

Similar threads

I What is the name of this geometry theorem?
  • · Replies 4 ·
Replies
4
Views
2K
B Reprise: Calculate the distance between two points without using a coordinate system
  • · Replies 1 ·
Replies
1
Views
2K
A How Does Non-Euclidean Geometry Differ from Euclid's Postulates?
  • · Replies 3 ·
Replies
3
Views
2K
MHB Can You Find the Angle in This Isosceles Triangle Problem?
  • · Replies 1 ·
Replies
1
Views
1K
MHB Geometry Challenge: Prove $\angle ADE=\angle BDC$ in Convex Quadrilateral $ADBE$
  • · Replies 3 ·
Replies
3
Views
1K
MHB Computation of bond angles and other angles in tetrahedral
  • · Replies 2 ·
Replies
2
Views
2K
I Geometry problem of interest with a 3-4-5 triangle
  • · Replies 59 ·
2
Replies
59
Views
3K
Suggestions for HS geometry book (proofs)
  • · Replies 14 ·
Replies
14
Views
2K
MHB Prove Angle of Diagonals in Quadrilateral is Degrees
  • · Replies 3 ·
Replies
3
Views
1K
I Resource help for co-ordinate geometry
  • · Replies 4 ·
Replies
4
Views
2K