Similarity

Front

What is similarity in geometry?

Back

Similarity in geometry refers to the relationship between two shapes that have the same shape but may differ in size. This means that their corresponding angles are equal and their corresponding sides are in proportion.

Tags

CCSS.HSG.CO.B.6

CCSS.8.G.A.2

Front

What is the scale factor in similar figures?

Back

The scale factor is the ratio of the lengths of corresponding sides of two similar figures. It indicates how much one figure has been enlarged or reduced compared to the other.

Tags

CCSS.7.G.A.1

Front

If two triangles are similar, what can be said about their corresponding angles?

Back

If two triangles are similar, their corresponding angles are equal.

Tags

CCSS.HSG.SRT.A.2

Front

How do you determine if two triangles are similar using the Side-Angle-Side (SAS) similarity criterion?

Back

Two triangles are similar if one angle of a triangle is equal to one angle of another triangle and the sides including these angles are in proportion.

Tags

CCSS.HSG.SRT.B.5

Front

What is the relationship between the heights and shadows of similar triangles?

Back

In similar triangles, the ratio of the heights of the triangles is equal to the ratio of the lengths of their corresponding shadows.

Tags

CCSS.HSG.SRT.B.5

Front

What does it mean for segments to be congruent?

Back

Congruent segments are segments that have the same length.

Tags

CCSS.8.G.A.2

Front

How can you find the height of an object using shadows?

Back

You can find the height of an object using the ratio of the height of the object to the length of its shadow, which is equal to the ratio of the height of another object to the length of its shadow.

Tags

CCSS.HSG.SRT.C.8

Front

What is the definition of parallel lines?

Back

Parallel lines are lines in a plane that do not intersect or meet, no matter how far they are extended.

Tags

CCSS.HSG.CO.A.1

Front

What is the Triangle Proportionality Theorem?

Back

The Triangle Proportionality Theorem states that if a line is drawn parallel to one side of a triangle, it divides the other two sides proportionally.

Tags

CCSS.HSG.SRT.A.2

Front

What is the relationship between the areas of similar figures?

Back

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