Similarity Review

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

If QR is a midsegment of triangle FGH, what is the relationship between QR and the sides of triangle FGH?

Back

The midsegment QR is parallel to the third side FG and its length is half the length of FG.

Tags

CCSS.HSG.SRT.B.4

Front

How do you find the length of a segment using proportions?

Back

To find the length of a segment using proportions, set up a proportion based on the corresponding sides of similar triangles and solve for the unknown length.

Tags

CCSS.HSG.CO.C.9

Front

What is the formula for finding the length of a midsegment in a triangle?

Back

The length of a midsegment is equal to half the length of the third side of the triangle.

Tags

CCSS.HSG.SRT.B.4

Front

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

Back

The corresponding sides of similar triangles are in proportion.

Tags

CCSS.HSG.SRT.A.2

Front

What is the definition of similar triangles?

Back

Similar triangles are triangles that have the same shape but may differ in size; their corresponding angles are equal and their corresponding sides are proportional.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

How do you determine if two triangles are similar using angle-angle (AA) similarity?

Back

If two angles of one triangle are equal to two angles of another triangle, then the triangles are similar.

Tags

CCSS.HSG.SRT.A.2

Front

What is the relationship between the sides of similar triangles?

Back

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

Tags

CCSS.HSG.SRT.A.2

Front

If triangle ABC is similar to triangle DEF, and the length of side AB is 6 and side DE is 9, what is the ratio of their corresponding sides?

Back

The ratio of the corresponding sides is 6:9 or simplified to 2:3.

Tags

CCSS.HSG.SRT.A.2

Front

What is the Cross-Multiplication Property in proportions?

Back

The Cross-Multiplication Property states that if a/b = c/d, then a*d = b*c.