Congruent and Similar Polygons

Front

What is a polygon?

Back

A polygon is a closed figure formed by a finite number of straight line segments connected end to end.

Tags

CCSS.2.G.A.1

Front

What are congruent polygons?

Back

Congruent polygons are polygons that have the same shape and size, meaning all corresponding sides and angles are equal.

Tags

CCSS.8.G.A.2

Front

What are similar polygons?

Back

Similar polygons are polygons that have the same shape but not necessarily the same size. Their corresponding angles are equal, and the ratios of their corresponding sides are equal.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

What is a parallelogram?

Back

A parallelogram is a four-sided figure (quadrilateral) with opposite sides that are parallel and equal in length.

Tags

CCSS.3.G.A.1

Front

Which of the following is not a parallelogram: rectangle, rhombus, trapezoid, square?

Back

Trapezoid is not a parallelogram.

Tags

CCSS.HSG.CO.C.11

Front

How can you determine if two polygons are congruent?

Back

Two polygons are congruent if all corresponding sides and angles are equal.

Tags

CCSS.8.G.A.2

Front

What does it mean for two polygons to be similar?

Back

Two polygons are similar if their corresponding angles are equal and the lengths of their corresponding sides are in proportion.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

If two triangles have angles measuring 30°, 60°, and 90°, are they similar?

Back

Yes, they are similar because they have the same angle measures.

Tags

CCSS.HSG.SRT.A.2

Front

What is the relationship between the sides of similar polygons?

Back

The ratios of the lengths of corresponding sides of similar polygons are equal.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

What is the difference between congruent and similar polygons?

Back

Congruent polygons are identical in size and shape, while similar polygons have the same shape but can be different in size.

Tags

CCSS.8.G.A.2