Similar Triangles and Linear Equations

On the coordinate plane in the image, triangle PQR is similar to triangle RST. The corresponding side lengths of triangle RST and triangle PQR are in the ratio of 3:1. What is the equation of the line containing the points P and T.

Tags

CCSS.HSG.SRT.A.2

Which of the following statements is TRUE of triangles FGH and HJK in the image.

• Because FGH and HJK are similar, the slope is the same between any 2 distinct points on the line

• Because FGH and HJK are not similar, the slope is found by using 2 distinct points on one of the triangles.

Tags

CCSS.8.EE.B.6

The pair of figures is similar. Find the missing side.

• x = 10

• x = 4

• x = 2

• x = 5

Tags

CCSS.HSG.SRT.A.2

The two triangles are similar. Find the distance d across the river?

• 81m

• 18m

• 16m

• 25m

Tags

CCSS.HSG.SRT.B.5

To find the height of a very tall pine tree, you place a mirror on the ground and stand where you can see the top of the pine tree.  How tall is the tree?

• 144 feet

• 72 feet

• 36 feet

Tags

CCSS.HSG.SRT.B.5

What is the value of x?

• 9 cm

• 12 cm

• 14 cm

• 16 cm

The two right triangles below are similar. What is x, the missing side length in triangle DEF? 

• 3.75

• 9.75

• 10

• 12

Tags

CCSS.HSG.SRT.A.2

Given that these triangles are similar, what is x?

• 80

• 5

• 4

• 3

Tags

CCSS.HSG.SRT.A.2

Are the triangles similar?

• Yes

• No

Tags

CCSS.HSG.SRT.A.2