Triangle Proportionality Theorem

Front

If two figures are similar, the corresponding sides are ______________.

Back

proportional

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

Solve for x: If the triangles are similar and the sides are in the ratio 3:4, and one side is 12, what is the corresponding side?

Back

x = 16

Tags

CCSS.HSG.SRT.A.2

Front

Find x: If triangle ABC is similar to triangle DEF and the sides are in the ratio 2:5, and one side of triangle ABC is 10, what is the corresponding side in triangle DEF?

Back

x = 25

Tags

CCSS.HSG.SRT.A.2

Front

Two objects that are the same shape but not the same size are _______.

Back

Similar

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

If triangle ABC is similar to triangle DEF, and the lengths of the sides of triangle ABC are 6, 8, and 10, what are the lengths of the sides of triangle DEF if the ratio is 3:5?

Back

9, 12, 15

Tags

CCSS.HSG.SRT.A.2

Front

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

Back

proportional

Tags

CCSS.HSG.SRT.B.4

Front

If two triangles are similar, the ratio of their areas is equal to the square of the ratio of their corresponding sides. True or False?

Back

True

Front

If the sides of triangle PQR are in the ratio 1:2:3, and the perimeter is 60, what are the lengths of the sides?

Back

10, 20, 30

Tags

CCSS.3.MD.D.8

Front

In similar triangles, the corresponding angles are __________.

Back

equal

Tags

CCSS.HSG.SRT.A.2

Front

If triangle XYZ is similar to triangle ABC and the length of side XY is 4 and the length of side AB is 8, what is the ratio of similarity?

Back

1:2

Tags

CCSS.HSG.SRT.A.2