Solving Isosceles Triangle Problems | Examples and Solutions

Nov 27, 2025

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Learn how to find angles and sides in isosceles triangles with clear examples and step-by-step solutions. Practice different scenarios to enhance your geometry skills.

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Solving Isosceles Triangle Problems | Examples and Solutions

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The isosceles triangle

Find mF.
Example 1 Find mG.

Example 2 Find the value of x. ∆LKM is equilateral.
Example 3 Find the value of JL.
P 1 2 U T N R

Remember the Isosceles Triangle Theorem?

Remember the Isosceles Triangle Theorem?. A. B. C. Do you remember how to prove it?. A. Construct an angle bisector and then prove the two resulting triangles congruent by SAS. . B. C. D. P. Sometime during class tonight we will prove the following theorem: Crossbar Theorem :

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SWBAT apply & identify the equilateral and isosceles triangle theorem (4.5)

Warm-Up: questions from wks #35-41 *hw/hw log/regular wkb p. 107 Tab: Storybook “Congruent Triangles” in bucket A. SWBAT apply & identify the equilateral and isosceles triangle theorem (4.5). Homework (day 28):

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The Isosceles Triangle Theorems

The Isosceles Triangle Theorems. 4-4. Isosceles Triangle:. Vertex angle. Leg. Leg. Base Angles. Base. The base of an Isosceles Triangle does NOT have to be at the “bottom”.

523 views • 12 slides

4.6 The Isosceles Triangle Theorems

4.6 The Isosceles Triangle Theorems. Base Angles and Opposite Sides Hypotenuse - Leg. Parts of an Isosceles Triangle. Isosceles Triangle Theorem. If two sides of a triangle are congruent, then the angles opposite those sides are congruent. . Isosceles Triangle Theorem.

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NOTEBOOK CHECK Triangle Sum Isosceles and equilateral Triangles Triangle Inequalities

NOTEBOOK CHECK Triangle Sum Isosceles and equilateral Triangles Triangle Inequalities Triangle Congruency SSS and SAS Proving Triangles are Congruent ASA and AAS Using Congruent Triangles Perpendicular and Angle Bisector Reflections and symmetry. Geometry Unit 3 Review. P.

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Isosceles Triangles

Isosceles Triangles . Geometry D – Chapter 4.6. Definitions - Review. Define an isosceles triangle. A triangle with two congruent sides. Name the parts of an isosceles triangle.

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1. An isosceles triangle has side lengths 20 meters,

ANSWER. 24 m. 1. 2. Solve 18 =. x. 2. 36. ANSWER. 1. An isosceles triangle has side lengths 20 meters, 26 meters, and 26 meters. Find the length of the altitude to the base. ANSWER. 13.47. 10. 4. Evaluate. tan 88º. ANSWER. 0.3492.

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4.7 – Isosceles Triangles

4.7 – Isosceles Triangles. Geometry Ms. Rinaldi. Remember that a triangle is isosceles if it has at least two congruent sides. When an isosceles triangle has exactly two congruent sides, these two sides are the legs . The angle formed by the legs is the vertex angle .

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Aim: What is an Isosceles Triangle?

Aim: What is an Isosceles Triangle?. Do Now:. What type of triangle has sides of 3, 6, 8?. Triangles A triangle is a three sided polygon enclosing three angles. The sum of the measure of the angles of a triangle is 180 degrees (180 0 ). 3 equal 2 equal No equal

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Isosceles Triangle

Isosceles Triangle. B. x. D. 30 . 50 . C. A. In the figure above, DA = DB = DC. What is the value of x ? (A) 10 (B) 20 (C) 30 (D) 40 (E) 50. 30-60-90 Triangle. K. 60 . 30 . J. L. In  JKL shown above, what is the length of segment JL? (1) JK = 10 (2) KL = 5.

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An isosceles triangle has one line of symmetry

An isosceles triangle has one line of symmetry. An isosceles triangle has no rotational symmetry. A triangle can have either one, two or three lines of symmetry. An triangle can have no lines of symmetry. An triangle can have rotational symmetry of order 2.

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The Triangle

The Triangle. The Jews, the Arabs and the British in Palestine between the two World Wars 1919-1939. The Zionist demand 1919. The dismemberment of the Ottoman Empire. League of Nations: The Mandate for Palestine, July 24, 1922.

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Right angled isosceles triangle Right angled scalene triangle Acute angled isosceles triangle

Right angled isosceles triangle Right angled scalene triangle Acute angled isosceles triangle Acute angled scalene triangle Obtuse angled isosceles triangle Obtuse angled scalene triangle Equilateral triangle. Right angled isosceles triangle Right angled scalene triangle

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Isosceles Right Angled Triangle

Isosceles Right Angled Triangle. 1. 1. The three sides cannot be all integers. 5. 4. 3. Find a right angled triangle with integral sides near to be isosceles. such as. Question. The difference between two legs is 1 What is the next triangle?

361 views • 16 slides

4.6 Isosceles Triangles

4.6 Isosceles Triangles. Objectives. Use properties of isosceles triangles Use properties of equilateral triangles. Properties of Isosceles Triangles. The  formed by the ≅ sides is called the vertex angle . The two ≅ sides are called legs . The third side is called the base .

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Isosceles Triangles

Isosceles Triangles. Sec: 4.6 Sol: G.5. 3. Leg. Leg. 1. 2. Base. Properties of Isosceles Triangles. An isosceles triangle is a triangle with two congruent sides. The congruent sides are called legs and the third side is called the base. Vertex. Base Angles. A. B. C.

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Isosceles Triangle Step 1

Isosceles Triangle Step 1. Fold top left corner until top edge line up along long edge. Isosceles Triangle Step 2. Fold left edge of rectangle to fit along the sloping edge. Equilateral Triangle Step 1. Fold in half lengthways and then open out again. Equilateral Triangle Step 2.

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Honors Geometry Section 4.4 Isosceles Triangle Theorem

Honors Geometry Section 4.4 Isosceles Triangle Theorem. Goals for today: 1. Identify the parts of an isosceles triangle. 2. Learn and apply the Isosceles Triangle Theorem and its converse. 3. Learn how we use the definition of an isosceles triangle, the ITT and its converse in proofs.

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Geometry Section 4.6 Isosceles Triangle Theorem

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The Isosceles Triangles Theorems

The Isosceles Triangles Theorems. Section 4-6. Isosceles Triangle Theorem. If 2 sides of a triangle are congruent, then the angles opposite those sides are congruent. 8. 8. 50. 50. Theorem 4-10. If 2 angles of a triangle are congruent, then the sides opposite those angles are congruent.

446 views • 8 slides

The Isosceles Triangles Theorems

The Isosceles Triangles Theorems. Section 4-6. Isosceles Triangle Theorem. If 2 sides of a triangle are congruent, then the angles opposite those sides are congruent. 8. 8. 50. 50. Proof of Theorem 4.9 Isosceles Triangle Theorem. Proof of Theorem 4.9 Isosceles Triangle Theorem.

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The two congruent sides of an isosceles triangle.

The two congruent sides of an isosceles triangle. The angle made by the intersection of the legs of an isosceles triangle. The non-congruent side of an isosceles triangle. (Base does NOT mean it's got to be at the bottom). The angles formed by the base and legs of an isosceles triangle. ∠C.

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More Related

Solving Isosceles Triangle Problems | Examples and Solutions

Solving Isosceles Triangle Problems | Examples and Solutions

Presentation Transcript

Remember the Isosceles Triangle Theorem?

SWBAT apply &amp; identify the equilateral and isosceles triangle theorem (4.5)

The Isosceles Triangle Theorems

4.6 The Isosceles Triangle Theorems

NOTEBOOK CHECK Triangle Sum Isosceles and equilateral Triangles Triangle Inequalities

Isosceles Triangles

1. An isosceles triangle has side lengths 20 meters,

4.7 – Isosceles Triangles

Aim: What is an Isosceles Triangle?

Isosceles Triangle

An isosceles triangle has one line of symmetry

The Triangle

Right angled isosceles triangle Right angled scalene triangle Acute angled isosceles triangle

Isosceles Right Angled Triangle

4.6 Isosceles Triangles

Isosceles Triangles

Isosceles Triangle Step 1

Honors Geometry Section 4.4 Isosceles Triangle Theorem

Geometry Section 4.6 Isosceles Triangle Theorem

The Isosceles Triangles Theorems

The Isosceles Triangles Theorems

The two congruent sides of an isosceles triangle.

SWBAT apply & identify the equilateral and isosceles triangle theorem (4.5)