Similarity and Congruence Geometry

Which of the following statements could be used on the proof?

• Right Triangles

• Isosceles Triangles

• SAS

• HL

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Triangle Congruence

Which of the following reasons could be used to prove similarity.

• AA

• SAS

• SSS

• HL

• Not enough information

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Triangle Similarity

Which of the following is true about the picture above:

• Triangles Similar by AA

• Triangles Similar by SAS

• Triangles Similar by SSS

• Triangles are Congruent by AAS

• Triangles are not Similar or Congruent

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Triangle Similarity

Use the congruence statement and figure to find the missing part of the statement

• FS

• SR

• RF

• DF

• ED

Tags

Triangle Similarity

What is the length of EF?

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Triangle Similarity

Which of the following cannot be used to prove triangles congruent?

• HL

• AAA

• SSS

• SAS

• SSA

Tags

Triangle Congruence

in triangle ABC, Johnny know that AB=BC. The triangle is not equalateral. Johnny states that triangle ABC is isosceles. Therefore, she consludes that angle A and angle B must be congruent to one another. Is Johnny's conclusion correct? Why or why not?

• Johnny's conclusion is correct. In an isosceles triangle, the base angles are always the first two letters in the name of the triangle.

• Johnny's conclusion is correct. In an isoceles triangle, all 3 angles are congruent to one another. Therefore angle A and angle B must be congruent to one another.

• Johnny's conclusion was incorrect. She cannot state that triangle ABC is isosceles just because AB=BC

• Johnny's conclusion was incorrect. If AB=BC, then the base angles of the isosceles triangle would be angle A and angle C, not angle A and angle B

• None of these will allow Javier to prove congruence.

Tags

Triangle Congruence

State the criteria for two triangles to be similar.

• Corresponding angles are congruent and corresponding sides are proportional.

• Corresponding angles are congruent and corresponding sides are parallel.

• Corresponding angles are congruent and corresponding sides are equal.

• Corresponding angles are congruent and corresponding sides are perpendicular.

If two triangles are similar, what can you say about their corresponding angles?

• Their corresponding angles are parallel.

• Their corresponding angles are not congruent.

• Their corresponding angles are perpendicular.

• Their corresponding angles are congruent.

What is the ratio of the areas of two similar triangles?

• The ratio of the areas of two similar triangles is equal to the product of the ratio of their corresponding side lengths.

• The ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding side lengths.

• The ratio of the areas of two similar triangles is equal to the difference of the ratio of their corresponding side lengths.

• The ratio of the areas of two similar triangles is equal to the sum of the ratio of their corresponding side lengths.