Proportional Triangles

Front

What are proportional triangles?

Back

Proportional triangles are triangles that have the same shape but may differ in size. Their corresponding sides are in proportion.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

What is the property of corresponding sides in similar triangles?

Back

In similar triangles, the ratios of the lengths of corresponding sides are equal.

Tags

CCSS.HSG.SRT.A.2

Front

How do you find the length of a missing side in proportional triangles?

Back

To find a missing side, set up a proportion using the lengths of the corresponding sides of the triangles and solve for the unknown.

Tags

CCSS.HSG.SRT.A.2

Front

If triangle ABC is similar to triangle DEF, and AB = 4, DE = 8, what is the ratio of their corresponding sides?

Back

The ratio of their corresponding sides is 1:2.

Tags

CCSS.HSG.SRT.A.2

Front

What is the formula for the area of a triangle?

Back

The area of a triangle is given by the formula: Area = 1/2 * base * height.

Tags

CCSS.6.G.A.1

Front

If two triangles are similar, how does their area relate to the ratio of their corresponding sides?

Back

The area of similar triangles is proportional to the square of the ratio of their corresponding sides.

Front

What is the significance of the AA criterion in triangle similarity?

Back

The AA (Angle-Angle) criterion states that if two angles of one triangle are equal to two angles of another triangle, the triangles are similar.

Tags

CCSS.HSG.SRT.B.5

Front

How can you determine if two triangles are proportional using their angles?

Back

If two triangles have two pairs of corresponding angles that are equal, then the triangles are proportional.

Tags

CCSS.HSG.SRT.A.2

Front

What is the relationship between the sides of a triangle and its angles?

Back

In a triangle, the larger the angle, the longer the side opposite to it.

Tags

CCSS.HSG.CO.C.10

Front

What is a scale factor in the context of similar triangles?

Back

The scale factor is the ratio of the lengths of corresponding sides of two similar triangles.

Tags

CCSS.7.G.A.1