Grade 11 Math Worksheet: Similarity
This worksheet focuses on the concept of similarity in geometry, covering similar triangles, ratios, and scale factors for Grade 11 students.
Includes
Standards
Topics
Grade 11 Math Worksheet: Similarity
Name:
Date:
Score:
Read each question carefully and answer to the best of your ability. Show all your work for full credit.
1. Two polygons are similar if:
Their corresponding angles are congruent and corresponding sides are proportional.
Their corresponding angles are proportional and corresponding sides are congruent.
Their corresponding angles and sides are both congruent.
Their areas are equal.
2. If two triangles are similar, then the ratio of their corresponding sides is called the:
Congruence ratio
Scale factor
Perimeter ratio
Area ratio
1. If two triangles have corresponding angles that are equal, they are said to be .
2. The ratio of the perimeters of two similar polygons is equal to their .
1. Triangle ABC has sides 3, 4, 5. Triangle DEF has sides 6, 8, 10. Are these triangles similar? Explain your reasoning.
2. Consider two similar rectangles. The first rectangle has a length of 12 cm and a width of 8 cm. The second rectangle has a length of 18 cm. What is the width of the second rectangle?
1. All squares are similar to each other.
True
False
2. All rectangles are similar to each other.
True
False
1. A tree casts a 20-foot shadow. At the same time, a 6-foot tall person casts a 4-foot shadow. How tall is the tree?
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.