Understanding Congruence in Triangles

Jan 09, 2025

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Explore the concept of congruent figures in geometry. Learn how corresponding angles and sides determine congruence in triangles through clear examples and explanations.

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Understanding Congruence in Triangles

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Congruence and Triangles 4.1
Congruent figures • Two geometric figures that have exactly the same size and shape. • Corresponding angles are congruent • Corresponding sides are congruent
Congruent triangles
Corresponding Angles
Corresponding Sides

4.2 Congruence and Triangles

4.2 Congruence and Triangles. Goal: Identify congruent figures and corresponding parts. Standards: 10.0: Students compute areas of polygons, including rectangles, scalene triangles, equilateral triangles, rhombi, parallelograms, and trapezoids.

389 views • 5 slides

Congruence in Right Triangles

Congruence in Right Triangles. Objective : Prove right triangles congruent by using the Hypotenuse-Leg Theorem. Right Triangles. leg. hypotenuse. leg. Hypotenuse-Leg Theorem.

528 views • 7 slides

4.2 Congruence and Triangles

4.2 Congruence and Triangles. Corresponding Parts – matching up sides & angles . G. F. B. C. H. A. D. E. Name the corresponding Sides (Letter order matters) : Name the corresponding Angles :.

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4.2 Congruence & Triangles

4.2 Congruence & Triangles. Geometry Mrs. Spitz Fall 2005. Objectives: . Identify congruent figures and corresponding parts Prove that two triangles are congruent. 4.2 Work.

409 views • 24 slides

Triangles, Congruence and Angles

Triangles, Congruence and Angles. Slideshow 37, Mathematics Mr Richard Sasaki Room 307. Objectives. Recall the meanings of “line”, “line segment” and “ray” Understand the meaning of congruence Use triangle and angle notation to show congruence. B. Line segment AB ( ). Review. B.

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4.2 Apply Congruence and Triangles

4.2 Apply Congruence and Triangles. Hubarth Geometry. Corresponding Parts - are angles and sides that are in the same position of their respected shape. Congruent - same size and shape. Congruent. Not Congruent. Different sizes and shapes.

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4.2 Congruence & Triangles

4.2 Congruence & Triangles. Geometry Mrs. Spitz Fall 2005. Objectives:. Identify congruent figures and corresponding parts Prove that two triangles are congruent. 4.2 Work.

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4.2 Congruence and Triangles

4.2 Congruence and Triangles. Congruent Figures. (. B. A. ___. ___ ___ ___. ___ ___. )))). 2 figures are congruent if they have the exact same size and shape. When 2 figures are congruent the corresponding parts are congruent. (angles and sides) Quad ABDC is congruent to Quad EFHG.

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Congruence in Right Triangles

Yes; use the congruent hypotenuses and leg BC to prove ABC DCB. LM LO. AM CN or MD NB. Congruence in Right Triangles. GEOMETRY LESSON 4-6. For Exercises 1 and 2, tell whether the HL Theorem can be used to prove

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4.2 Congruence and Triangles

4.2 Congruence and Triangles. Geometry Fall 2005 Mrs. Spitz. Standards/Objectives:. Standard 2: Students will learn and apply geometric concepts Objectives: Identify congruent figures and corresponding parts Prove that two triangles are congruent. Assignment. 4.2 Worksheet A and B

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4.2 Congruence and Triangles

4.2 Congruence and Triangles. p. 202. Congruent Figures. B. (. A. ___. ___ ___ ___. ___ ___. )))). 2 figures are congruent if they have the exact same size and shape. When 2 figures are congruent the corresponding parts are congruent. (angles and sides)

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4.2 Congruence and Triangles

4.2 Congruence and Triangles. Identify congruent figures and corresponding parts. Prove that 2 triangles are congruent. Congruence and Correspondence.

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4.2 Apply Congruence and Triangles

4.2 Apply Congruence and Triangles. You will identify congruent figures. Essential Question: What are congruent figures?. Tell students they will learn how to answer this question by studying the definition of congruent figures.

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4.2 Congruence & Triangles

4.2 Congruence & Triangles. Geometry Taken from: http://www.dgelman.com/powerpoints/geometry/spitz/4.2Congruence%20and%20Triangles.ppt. Objectives:. Identify congruent figures and corresponding parts Prove that two triangles are congruent. Identifying congruent figures.

289 views • 14 slides

4.2 Congruence & Triangles

4.2 Congruence & Triangles. Geometry Mrs. Kinser Fall 2012. Objectives:. Identify congruent figures and corresponding parts Prove that two triangles are congruent. Identifying congruent figures. Two geometric figures are congruent if they have exactly the same size and shape.

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Triangles and Congruence

Triangles and Congruence. § 5.1 Classifying Triangles. § 5.2 Angles of a Triangle. § 5.3 Geometry in Motion. § 5.4 Congruent Triangles. § 5.5 SSS and SAS. § 5.6 ASA and AAS. D. E. F. Classifying Triangles. What You'll Learn.

767 views • 41 slides

4.2 Congruence and Triangles

4.2 Congruence and Triangles. Prove two triangles congruence. Congruent triangles. Congruent triangles have congruent angles and sides. The angles and sides must correspond. Congruent corresponding sides and corresponding angles. Meaning AB = XY; BC = YZ; AC = XZ and .

701 views • 21 slides

5.1 Congruence and Triangles

5.1 Congruence and Triangles. Corresponding parts: Corresponding angles and corresponding sides Congruent: Figures having the same size and shape. Are the following figures congruent?. Congruent Markings Which segments and angles are congruent?.

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Congruence in Triangles

Congruence in Triangles. Information. Proving triangles congruent. Triangles are congruent when corresponding angles and corresponding sides are congruent. A triangle has three sides and three angles, so there are six relationships that must be true for two triangles to be congruent.

1.14k views • 7 slides

4.2  Apply Congruence and Triangles

4.2  Apply Congruence and Triangles. A. P. R. B. Q. C. Congruent shapes. Corresponding sides are congruent Corresponding angles are congruent ABC  PQR Important to list corresponding angles in the same order. 5 cm. 5 cm. 4 cm. 7 cm.

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4.2 – Apply Congruence and Triangles

4.2 – Apply Congruence and Triangles. What makes a geometric figure congruent?. 4.2 – Apply Congruence and Triangles. In two congruent figures , all the parts of one figure are congruent to the corresponding parts of the other figure. 4.2 – Apply Congruence and Triangles.

229 views • 13 slides

4.2 Congruence and Triangles

4.2 Congruence and Triangles. Geometry Ms. Reser. Standards/Objectives:. Standard 2: Students will learn and apply geometric concepts Objectives: Identify congruent figures and corresponding parts Prove that two triangles are congruent. Assignment. 4.2 Worksheet A and B

231 views • 20 slides

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Understanding Congruence in Triangles

Understanding Congruence in Triangles

Presentation Transcript

4.2 Congruence and Triangles

Congruence in Right Triangles

4.2 Congruence and Triangles

4.2 Congruence &amp; Triangles

Triangles, Congruence and Angles

4.2 Apply Congruence and Triangles

4.2 Congruence &amp; Triangles

4.2 Congruence and Triangles

Congruence in Right Triangles

4.2 Congruence and Triangles

4.2 Congruence and Triangles

4.2 Congruence and Triangles

4.2 Apply Congruence and Triangles

4.2 Congruence &amp; Triangles

4.2 Congruence &amp; Triangles

Triangles and Congruence

4.2 Congruence and Triangles

5.1 Congruence and Triangles

Congruence in Triangles

4.2  Apply Congruence and Triangles

4.2 – Apply Congruence and Triangles

4.2 Congruence and Triangles

4.2 Congruence & Triangles

4.2 Congruence & Triangles

4.2 Congruence & Triangles

4.2 Congruence & Triangles