Isosceles Triangle Theorem Worksheet
Explore and apply the Isosceles Triangle Theorem to find unknown angles and side lengths in isosceles triangles for Grade 8 math.
Includes
Standards
Topics
Isosceles Triangle Theorem
Name:
Date:
Score:
Read each question carefully and answer to the best of your ability. Show all your work for short answer questions.
1. In your own words, state the Isosceles Triangle Theorem.
2. What is the converse of the Isosceles Triangle Theorem?
3. If two sides of a triangle are congruent, then the angles those sides are congruent.
adjacent to
opposite
between
outside
4. In triangle ABC, if AB = AC and angle BAC = 50°, what are the measures of angle ABC and angle ACB?
5. If angle X = 70° and angle Y = 70° in triangle XYZ, then the side opposite angle X, which is , is congruent to the side opposite angle Y, which is .
6. An isosceles triangle has a perimeter of 30 cm. If the base measures 10 cm, what is the length of each of the congruent sides?
7. All equilateral triangles are also isosceles triangles.
True
False
Related Worksheets
Three-Dimensional Figures Worksheet
This worksheet focuses on identifying, understanding properties, and calculating basic measurements of three-dimensional figures for Grade 8 math students.
Grade 8 Lateral Area Worksheet
Calculate the lateral surface area of various three-dimensional shapes, including cylinders, prisms, and pyramids.
Grade 8 Triangle Properties Worksheet
This worksheet covers fundamental properties of triangles, including angle sums, types of triangles, and the Pythagorean theorem, suitable for Grade 8 math students.
Grade 8 Triangle Properties Worksheet
This worksheet covers fundamental properties of triangles, including angle sums, types of triangles, and the Pythagorean theorem, suitable for Grade 8 math students.
Distance on the Coordinate Plane
Calculate the distance between two points on a coordinate plane using the distance formula and Pythagorean theorem.
Similar Polygons Worksheet
Grade 8 math worksheet focusing on understanding and identifying similar polygons, including finding missing side lengths and angles.
Grade 8 Area Formulas Worksheet
Reinforce understanding of area formulas for various geometric shapes including triangles, rectangles, circles, and trapezoids for Grade 8 math students.
Area of Mixed Shapes
Calculate the area of various composite shapes including rectangles, triangles, and circles.