Congruent Triangles Can given numbers make a triangle ? Can a different triangle be formed with the...

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Congruent Triangles Can given numbers make a triangle? Can a different triangle be formed with the same information?

Transcript of Congruent Triangles Can given numbers make a triangle ? Can a different triangle be formed with the...

Page 1: Congruent Triangles Can given numbers make a triangle ? Can a different triangle be formed with the same information?

Congruent Triangles

Can given numbers make a triangle? Can a different triangle be formed

with the same information?

Page 2: Congruent Triangles Can given numbers make a triangle ? Can a different triangle be formed with the same information?

Conditions for Unique Triangles

SSS SAS

Any set of data that fits these conditions will result in one unique triangle.

two shortest sides are longer than the third side

two angles must sum to less than 180º two angles must sum to less than 180º

AASASA

Page 3: Congruent Triangles Can given numbers make a triangle ? Can a different triangle be formed with the same information?

Ambiguous Triangle Case(aka the ‘bad’ word)

This diagram is deceiving -- side-side-angle data may result in two different triangles.

Side a is given but it might be possible to ‘swing’ it to either of two positions depending on the other given values.

SSAA

ab

An acute or an obtuse triangle may be possible.

http://orion.math.iastate.edu/trig/sp/xcurrent/applets/SSA.html

Lesson 4-4 · 1 Objective – To prove triangles congruent using SSS and SAS. SSS Congruence Postulate If 3 sides of a triangle are congruent to 3 sides of another triangle, then

Lesson 4-4 · 1 Objective – To prove triangles congruent using SSS and SAS. SSS Congruence Postulate If 3 sides of a triangle are congruent to 3 sides of another triangle, then

4.3 & 4.4 Proving Triangles are Congruent. Side-Side-Side (SSS) Congruence Postulate: If 3 sides of one triangle are congruent to 3 sides of another triangle,

4.3 & 4.4 Proving Triangles are Congruent. Side-Side-Side (SSS) Congruence Postulate: If 3 sides of one triangle are congruent to 3 sides of another triangle,

7 Triangles CONGRUENCE OF TRIANGLES CONGRUENT ...2. If two sides and an angle of one triangle are equal to two sides and an angle of another triangle, then two triangles must be congruent

7 Triangles CONGRUENCE OF TRIANGLES CONGRUENT ...2. If two sides and an angle of one triangle are equal to two sides and an angle of another triangle, then two triangles must be congruent

NJCTLcontent.njctl.org/courses/math/geometry/congruent... · Web view2013/12/29  · Congruence – Congruent parts: SSS & SAS Triangle Congruence Home Work Identify the corresponding

NJCTLcontent.njctl.org/courses/math/geometry/congruent... · Web view2013/12/29  · Congruence – Congruent parts: SSS & SAS Triangle Congruence Home Work Identify the corresponding

Vocabulary Unit 4 & 5. Equilateral/Equiangular Triangle A triangle with 3 congruent sides and 3 congruent angles.

Vocabulary Unit 4 & 5. Equilateral/Equiangular Triangle A triangle with 3 congruent sides and 3 congruent angles.

Congruent - Lancaster High School · Web viewDay 5 Coordinate Triangle Proofs D5 HW – pg. 22 (#1) Day 6 Coordinate Triangle Proofs D6 HW – pg. 22 (#2) Day 7 Congruent Triangles

Congruent - Lancaster High School · Web viewDay 5 Coordinate Triangle Proofs D5 HW – pg. 22 (#1) Day 6 Coordinate Triangle Proofs D6 HW – pg. 22 (#2) Day 7 Congruent Triangles

CONGRUENT TRIANGLE BY S. RAMANI. LOOK AT THE FOLLOWINGFIGURES.

CONGRUENT TRIANGLE BY S. RAMANI. LOOK AT THE FOLLOWINGFIGURES.

OBJECTIVE: WHAT DOES CONGRUENT MEAN???bolusmath.weebly.com/uploads/5/7/9/0/57901811/alg.pdf · Sides: LM EF, MN FG, NP GH, LP EH . Two Congruent Triangles… Triangle CAT is congruent

OBJECTIVE: WHAT DOES CONGRUENT MEAN???bolusmath.weebly.com/uploads/5/7/9/0/57901811/alg.pdf · Sides: LM EF, MN FG, NP GH, LP EH . Two Congruent Triangles… Triangle CAT is congruent

Mathematics Materials for Tomorrow’s Teachers Geometry › m2t2 › blue › pdf › geometryBlue.pdf · 2005-03-23 · Isosceles triangle – triangle with two congruent sides

Mathematics Materials for Tomorrow’s Teachers Geometry › m2t2 › blue › pdf › geometryBlue.pdf · 2005-03-23 · Isosceles triangle – triangle with two congruent sides

Congruent Geometry Triangles - NJCTLcontent.njctl.org/courses/math/geometry/congruent...Slide 12 (Answer) / 209 1 Classify the triangle with the given information: Side lengths: 3

Congruent Geometry Triangles - NJCTLcontent.njctl.org/courses/math/geometry/congruent...Slide 12 (Answer) / 209 1 Classify the triangle with the given information: Side lengths: 3

LESSON 4-2 TRIANGLE CONGRUENCE BY SSS AND SAS · Practice 4-2 Triangle Congruence by SSS & SAS Decide whether you can use the SSS or SAS Postulate to prove the triangles congruent.

LESSON 4-2 TRIANGLE CONGRUENCE BY SSS AND SAS · Practice 4-2 Triangle Congruence by SSS & SAS Decide whether you can use the SSS or SAS Postulate to prove the triangles congruent.

Are the following triangles congruent? If yes, state the triangle congruence postulate, and identify the congruent triangles. Bell Ringer.

Are the following triangles congruent? If yes, state the triangle congruence postulate, and identify the congruent triangles. Bell Ringer.

unit 04a notes - RPDPrpdp.net/admin/images/uploads/1949GeometryUnit04aNotes-Triangle... · - a triangle with three congruent sides. Isosceles triangle ... to three sides of another

unit 04a notes - RPDPrpdp.net/admin/images/uploads/1949GeometryUnit04aNotes-Triangle... · - a triangle with three congruent sides. Isosceles triangle ... to three sides of another

Geometry Lyrics Angles Song - Scholastic New Zealand · It’s geometry Equilateral triangle, triangle, triangle Equilateral triangle Three congruent sides Isosceles triangle, triangle,

Geometry Lyrics Angles Song - Scholastic New Zealand · It’s geometry Equilateral triangle, triangle, triangle Equilateral triangle Three congruent sides Isosceles triangle, triangle,

Triangle Inequality Notes. Triangle Inequality Theorem Scalene triangle: A triangle that has no congruent (equal) sides. None of their angles are congruent.

Triangle Inequality Notes. Triangle Inequality Theorem Scalene triangle: A triangle that has no congruent (equal) sides. None of their angles are congruent.

Congruent Trianglescontent.njctl.org/.../congruent-triangles-2014-06-03-3-slides-per-page-w-answers.pdf · Scalene triangle - No congruent sides Isosceles Triangle - 2 congruent sides

Congruent Trianglescontent.njctl.org/.../congruent-triangles-2014-06-03-3-slides-per-page-w-answers.pdf · Scalene triangle - No congruent sides Isosceles Triangle - 2 congruent sides

Exploring Congruent Triangles. Congruent triangles: Triangles that are the same size and shape – Each triangle has six parts, three angles and three sides.

Exploring Congruent Triangles. Congruent triangles: Triangles that are the same size and shape – Each triangle has six parts, three angles and three sides.

Chapter 5 Congruent Trianglesgreenstein.com/mvhs/geom/Lessons/Big Ideas Ch 5/Big... · Congruent Triangles 5.1 Angles of Triangles 5.2 Congruent Polygons 5.3 Proving Triangle Congruence

Chapter 5 Congruent Trianglesgreenstein.com/mvhs/geom/Lessons/Big Ideas Ch 5/Big... · Congruent Triangles 5.1 Angles of Triangles 5.2 Congruent Polygons 5.3 Proving Triangle Congruence

4.2 CONGRUENT FIGURESmistertmath.weebly.com/uploads/2/8/5/0/28500815/geometry_4.1.pdf · CHAPTER 4 Triangles and Congruence Chapter Outline 4.1 TRIANGLE SUMS 4.2 CONGRUENT FIGURES

4.2 CONGRUENT FIGURESmistertmath.weebly.com/uploads/2/8/5/0/28500815/geometry_4.1.pdf · CHAPTER 4 Triangles and Congruence Chapter Outline 4.1 TRIANGLE SUMS 4.2 CONGRUENT FIGURES

Scanned by CamScanner - storage.googleapis.com · In a regular polygon, all sides are congruent and all angles are congruent. Classify the polygon below. Polygon Triangle Quadrilateral

Scanned by CamScanner - storage.googleapis.com · In a regular polygon, all sides are congruent and all angles are congruent. Classify the polygon below. Polygon Triangle Quadrilateral