Triangles on Same Line

2 slope triangles on the SAME LINE...

• have issues.

• have the SAME SLOPE.

Triangle ABC and triangle DEF...

• are different sizes,

  so their slopes are different.

• are on the same line,

  so they have the same slope.

Triangles ABC and DEF are similar. The slope of the hypotenuse of ABC is...

• the SAME as the slope of the hypotenuse of triangle DEF

• LESS THAN the slope of the hypotenuse of triangle DEF

• GREATER THAN the slope of the hypotenuse of triangle DEF

Identify the slope of the black line. You can use the blue slope triangles to help you.

Are the triangles drawn along the line similar? Remember: Similar: same shape, different size.

• yes

• no

Explain whether or not the triangles shown could lie on the same line.

• Yes, because their slopes both simplify to -6.

• Yes, because their slopes both simplify to 1/6.

• No, because -72/12 is not the same as -144/24

• 2/3

• 3/4

• 3/2

• 1/3

Which of the following is true about the triangles shown on the graph?

• The slope of the smaller triangle is smaller than the slope of the larger triangle.

• The slope of the larger triangle is larger than the slope of the smaller triangle.

• The triangles are congruent. Congruent: same size, same shape.

• The slopes of the two triangles are the same.

Triangle DEF and triangle GHI are similar triangles. Based on this information, which statement is true?

• The relationship between the slope of the hypotenuse of triangle DEF and the slope of the hupotenuse of triangle GHI cannot be determined.

• The slope of the hypotenuse of triangle DEF is greater than the slope of the hypotenuse of triangle GHI.

• The slope of the hypotenuse of triangle DEF is less than the slope of the hypotenuse of triangle GHI.

• The slope of the hypotenuse of triangle DEF is equal to the slope of the hypotenuse of triangle GHI.