Scale Ratios

• P (4,0)

• P (6,0)

• P (3,0)

• P (8,0)

Tags

CCSS.HSG.GPE.B.6

The distance from A to P is 5 units and the distance from P to B is 3 units. What is the scale factor of the partition?

Mathematical Equivalence

ON

Tags

CCSS.7.G.A.1

Zack cut a 36-inch piece of wood into 2 pieces. The ratio of the lengths of the 2 pieces is 2:7. What is the length of the shorter piece, to the nearest inch?

Tags

CCSS.6.RP.A.3B

A new 75-mile road is divided into 3 sections. The ratio of the 3 sections is 1:2:3. What is the length to the nearest half mile of the middle length (not the smallest or largest, but the one in the middle)?

Find the point P that partitions the line segment AB given the ratio.
A (7, -2) B(4, 0) with the ratio 1:4

• (32/5, -8/5)

• (17/5, 2/5)

• (32/5, 22/5)

• (-13/5, 2/5)

Tags

CCSS.HSG.GPE.B.6

Triangles IJK and TUV are similar. The length of the sides of IJK are 40, 50, and 24. The length of the longest side of TUV is 275. What is the perimeter of TUV?

Tags

CCSS.HSG.SRT.A.2

Triangles IJK and TUV are similar. The length of the sides of IJK are 40, 50, and 24. The length of the longest side of TUV is 275. Which of the following proportions can be used to solve for the perimeter of TUV?

Tags

CCSS.HSG.SRT.A.2

Are the triangles similar?

• Yes

• No

Tags

CCSS.HSG.SRT.A.2

The length of the 3 sides of a triangle are in the ratio of 4:5:6. The perimeter of the triangle is 90 centimeters. What is the length in centimeters of the shortest side of the triangle

Tags

CCSS.3.MD.D.8

Find the point P that partitions the line segment AB given the ratio.
A (-6, -6) B(-2, 1) with the ratio 3:8

• (-54/11, 32/11)

• (-10/11, 32/11)

• (-54/11, -1/11)

• (-54/11, -45/11)

Tags

CCSS.HSG.GPE.B.6