Solving Problems with Similar and Congruent Triangles

Topic Page

Questions

• Question #fe069
• What are the differences between similar triangles and congruent triangles?
• Are two isosceles triangles always similar? Are two equilateral triangles always similar? Give reasons for your answers to both questions.
• If two triangles are congruent, are they similar? Please explain why or why not.
• In the figure given identify the congruent and/or similar triangles and find the value of x and y?
• Given the similar right triangles in the figure. Find the exact values of x and y?
• Find the value of x in the figure?
• Question #7ef19
• Question #3cf21
• Why can't there be an axiom of congruency of triangles as A.S.S. similar to R.H.S.?
• Given the figure determine the value of the unknown segment, #x#?
• Find the value of x for each of the given figures?
• You have two similar triangles. The first triangle has a height of 10 and an area of 40. If the second triangle is twice as tall, how much area does it cover?
• In the diagram, BC¯¯¯∥DE¯¯¯ What is CE ?
• For which segment lengths is ¯¯¯AC¯ parallel to ¯¯DE¯ ?
• How do you approximate the height of the screen to the nearest tenth?
• Question #3b0b6
• How Can Ken use Similar Triangles to find the height of a Building?