Slope/Similar Triangles & Proportional Relationships

The line on the coordinate grid includes the hypotenuse of right triangle EFG. Right triangle RST is similar to right triangle EFG. Vertex R is at (−2,8). The slopes of the hypotenuses of the two triangles are equal. Which ordered pairs could be the coordinates of vertex T? Select ALL that apply.

• (0,4)

• (2,−1)

• (6,−8)

• (0,0)

• (−4,4)

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSG.GPE.B.5

CCSS.HSG.SRT.A.2

CCSS.HSG.SRT.A.3

CCSS.HSG.SRT.B.5

Triangles QRS and STU are similar right triangles. Which statement about the slope is true?

• The slope of QS is equal to the slope of SU because both triangles are similar.

• The slope of QS is not equal to the slope of SU because they are different triangles.

• The slope of QS is greater than the slope of SU.

• The slope of QS is less than the slope of SU.

Tags

CCSS.HSG.SRT.A.2

CCSS.HSG.SRT.B.5

The line on the coordinate grid includes the hypotenuse of right triangle JKL. Right triangle ABC is similar to right triangle JKL. Vertex C is at (5,–7). The slopes of the hypotenuses of the two triangles are equal. Which ordered pairs could be the coordinates of vertex A? Select ALL that apply.

• (1,–3)

• (–1,5)

• (3,0)

• (1,4)

• (2,–1)

Tags

CCSS.HSG.SRT.A.2

CCSS.HSG.SRT.A.3

CCSS.HSG.SRT.B.5

The line on the coordinate grid includes the hypotenuse of right triangle DEF. Right triangle XYZ is similar to right triangle DEF. Vertex Z is at (0,0). The slopes of the hypotenuses of the two triangles are equal. Which ordered pairs could be the coordinates of vertex Y? Select ALL that apply.

• (2,1)

• (1,–6)

• (3,–6)

• (4,2)

• (6,3)

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.11

CCSS.HSG.GPE.B.5

CCSS.HSG.SRT.A.2

CCSS.HSG.SRT.A.3

CCSS.HSG.SRT.B.5

The line on the coordinate grid includes the hypotenuse of right triangle ABC. Right triangle LMN is similar to right triangle ABC. Vertex N is at (−3, −3). The slopes of the hypotenuse of the two triangles are equal. Which ordered pairs could be the coordinates of vertex M? Select TWO correct answers.

• (0, −2)

• (2, −6)

• (0, 6)

• (3, −1)

• (−4, 1)

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSG.GPE.B.5

CCSS.HSG.SRT.A.2

CCSS.HSG.SRT.A.3

CCSS.HSG.SRT.B.5

Which best describes the graph?
y = 75x

• Proportional
• Nonproportional

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSF.LE.A.1

Which best describes this graph?
y= 3.75x + 2

• Proportional 
• Non-proportional

Tags

CCSS.6.EE.C.9

What is the y-intercept for the following graph and is it proportional or non-proportional?

• Proportional, b=1
• Proportional, b=-2
• Non-proportional, m= -1
• Non-proportional, b=1

Tags

CCSS.HSS.ID.C.7

Shawn makes $7.50 an hour to babysit for her next door neighbors.  Describe the graph of this relationship.

• Proportional
• Non-proportional

Tags

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

A proportional relationship is written used which of the following equations?

Tags

CCSS.HSA.REI.B.3

CCSS.HSA.REI.D.10

CCSS.HSA.SSE.A.1

CCSS.HSF.IF.B.4

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2