Congruency in Isosceles and Equilateral Triangles
This worksheet focuses on properties of isosceles and equilateral triangles, including angle and side congruency, and applying these concepts to solve problems.
Includes
Standards
Topics
Congruency in Isosceles and Equilateral Triangles
Name:
Date:
Score:
Read each question carefully and answer to the best of your ability. Show all your work for full credit.
1. In an isosceles triangle, if the measure of the vertex angle is 50 degrees, what is the measure of each base angle?
50 degrees
65 degrees
90 degrees
130 degrees
2. Which of the following statements is true for an equilateral triangle?
Only two sides are congruent.
All angles are different measures.
All sides are congruent.
The sum of angles is 90 degrees.
3. In an isosceles triangle, the angles opposite the congruent sides are .
4. An equilateral triangle is also an triangle.
5. Consider an isosceles triangle ABC where AB = AC. If the measure of angle B is 70 degrees, what are the measures of angle A and angle C?
6. An equilateral triangle has a perimeter of 45 cm. What is the length of each side?
7. All equilateral triangles are isosceles triangles.
True
False
8. An isosceles triangle can have three congruent sides.
True
False
Related Worksheets
Segment Length Practice Worksheet
Grade 11 Math worksheet focusing on calculating and applying segment lengths in various geometric contexts, including number lines, coordinate planes, and geometric figures.
Similar Figures Worksheet
This worksheet focuses on understanding and applying the properties of similar figures, including triangles and polygons, at a Grade 11 level. Students will solve problems involving scale factors, missing side lengths, and angle measures.
Secants in Circles Worksheet
Explore properties of secant lines in circles, including the Secant-Secant Theorem and tangent-secant relationships, with this Grade 11 mathematics worksheet.
Secant-Tangent Theorem Worksheet
Explore and apply the Secant-Tangent Theorem to solve for unknown lengths and angles in circles.
Triangular Prisms: Surface Area and Volume
This worksheet focuses on calculating the surface area and volume of triangular prisms, suitable for Grade 11 math students.
Triangle Sum Theorem Worksheet
A Grade 11 math worksheet focusing on the Triangle Sum Theorem, including various problem types to reinforce understanding of triangle angle properties.
Similar Solids Worksheet - Grade 11 Geometry
Explore the properties of similar solids, including their ratios of corresponding linear measures, areas, and volumes, with these challenging problems.
Eccentricity of Conic Sections
This worksheet focuses on understanding and calculating the eccentricity of conic sections, including ellipses, hyperbolas, and parabolas, for Grade 11 students.