Presentation is loading. Please wait.

Presentation is loading. Please wait.

The point where the three angle bisectors of a

Published byDerek Parks Modified over 5 years ago

Similar presentations

Presentation on theme: "The point where the three angle bisectors of a"— Presentation transcript:

1 The point where the three angle bisectors of a
triangle intersect. sides DC bisector bisects

2 BC BD Converse of the Angle Bisector Theorem DBE

3 Angle Bisector Theorem bisector same distance

4 PK PL PK PL x x - 5 6

5 PE PF

6 equidistant LI c2 a2 + b2 LI LI2 LI LI

7 7x + 3 = 8x 3 = x 3x - 5 = 2x +5 x = 10 No, you need to know that ∠CBA and ∠CDA are right angles. c2 = a2 + b2 252 = LI 625 = LI 225 = LI2 LI = LK, so LK 1=15 15 = LI

Download ppt "The point where the three angle bisectors of a"

Similar presentations

Bisectors in Triangles Academic Geometry. Perpendicular Bisectors and Angle Bisectors In the diagram below CD is the perpendicular bisector of AB. CD.

Bisectors in Triangles Academic Geometry. Perpendicular Bisectors and Angle Bisectors In the diagram below CD is the perpendicular bisector of AB. CD.
Chapter 5 Congruent Triangles. 5.1 Perpendiculars and Bisectors Perpendicular Bisector: segment, line, or ray that is perpendicular and cuts a figure.

Chapter 5 Congruent Triangles. 5.1 Perpendiculars and Bisectors Perpendicular Bisector: segment, line, or ray that is perpendicular and cuts a figure.
5-2 Perpendicular and Angle Bisectors Learning Goals 1. To use properties of perpendicular bisectors and angle bisectors.

5-2 Perpendicular and Angle Bisectors Learning Goals 1. To use properties of perpendicular bisectors and angle bisectors.
Section 6 – 6 Use Proportionality Theorem. Theorems Triangle Proportionality Theorem – If a line parallel to one side of a triangle intersects the other.

Section 6 – 6 Use Proportionality Theorem. Theorems Triangle Proportionality Theorem – If a line parallel to one side of a triangle intersects the other.
8/9/2015 EQ: What are the differences between medians, altitudes, and perpendicular bisectors? Warm-Up Take out homework p.301 (4-20) even Check your answers.

8/9/2015 EQ: What are the differences between medians, altitudes, and perpendicular bisectors? Warm-Up Take out homework p.301 (4-20) even Check your answers.
Chapter 5 Angle Bisectors. Angle Bisector A ray that bisects an angle into two congruent angles.

Chapter 5 Angle Bisectors. Angle Bisector A ray that bisects an angle into two congruent angles.
5.2 Perpendicular and Angle Bisectors

5.2 Perpendicular and Angle Bisectors
Medians, Altitudes and Angle Bisectors. Every triangle has 1. 3 medians, 2. 3 angle bisectors and 3. 3 altitudes.

Medians, Altitudes and Angle Bisectors. Every triangle has 1. 3 medians, 2. 3 angle bisectors and 3. 3 altitudes.
Perpendicular and Angle Bisectors of a Triangle Sec 5.2 Goal: To use properties of perpendicular bisectors of a triangle. To use properties of angle bisectors.

Perpendicular and Angle Bisectors of a Triangle Sec 5.2 Goal: To use properties of perpendicular bisectors of a triangle. To use properties of angle bisectors.
5.3Use Angle Bisectors of Triangles Theorem 5.5: Angle Bisector Theorem If a point is on the bisector of an angle, then it is equidistant from the two.

5.3Use Angle Bisectors of Triangles Theorem 5.5: Angle Bisector Theorem If a point is on the bisector of an angle, then it is equidistant from the two.
4.5 Isosceles and Equilateral Triangles. Isosceles Triangles At least two sides are of equal length. It also has two congruent angles. Base Angles Base.

4.5 Isosceles and Equilateral Triangles. Isosceles Triangles At least two sides are of equal length. It also has two congruent angles. Base Angles Base.
Find the missing angle 80 0 20 0 ?0?0. Special Segments in Triangles.

Find the missing angle ?0?0. Special Segments in Triangles.
4.7Theorems On Perpendicular Lines Theorem 4.7: If two lines intersect to form a linear pair of congruent angles, then the lines are ______________. g.

4.7Theorems On Perpendicular Lines Theorem 4.7: If two lines intersect to form a linear pair of congruent angles, then the lines are ______________. g.
Tuesday, January 15, 2013. §7.4 Parallel Lines & Proportional Parts CA B D E Theorem: Triangle Proportionality Theorem ◦ If a line parallel to one side.

Tuesday, January 15, §7.4 Parallel Lines & Proportional Parts CA B D E Theorem: Triangle Proportionality Theorem ◦ If a line parallel to one side.
8.6 Proportion and Similar Triangles

8.6 Proportion and Similar Triangles
Objectives To use the side-splitter theorem. To use the triangle angle-bisector theorem.

Objectives To use the side-splitter theorem. To use the triangle angle-bisector theorem.
12.2 Chords and Arcs Theorem 12.4 and Its Converse Theorem –

12.2 Chords and Arcs Theorem 12.4 and Its Converse Theorem –
Bisectors of a Triangle

Bisectors of a Triangle
Special Segments of Triangles

Special Segments of Triangles
Section 5-1 Perpendiculars and Bisectors. Perpendicular bisector A segment, ray, line, or plane that is perpendicular to a segment at its midpoint.

Section 5-1 Perpendiculars and Bisectors. Perpendicular bisector A segment, ray, line, or plane that is perpendicular to a segment at its midpoint.

Similar presentations

Ads by Google