Determining a Triangle

Does the set of numbers represent a right triangle?

• Yes

• No

Do the segment lengths 15, 12, and 9 form a right triangle?

• Yes

• No

• Maybe

• Pythagoras

Do the following lengths form right triangles?

A = 4, B = 5.5, C = 9.2

• Yes

• No

Do the following lengths form right triangles?

A = 12, B = 8.3, C = 16.7

• Yes

• No

What transformation gets you from Triangle ABC to Triangle A"B"C"?

How do you get from the green triangle to the orange triangle?

• rotate clockwise 90 degrees

• rotate counterclockwise 180 degrees

• translate right 11 and up 9, then translate down 3 and left 2

• translate right 12 and up 4

• reflect over the y-axis then the x-axis

How do you get from the blue triangle to the red triangle?

• reflection over y = 2, translate right 5

• rotate 180 degrees

• rotate 270 degrees

• translate right 5 and reflect over the y-axis

• do the cha cha slide

A triangle is translated (x + 2, y - 10) and then rotated 90 degrees. If the triangle starts at A(-4, -2), B(3,4), C(-5, 6), where does the triangle end it's journey? Structure your answer as A"(x,y), B"(x,y), C"(x,y)

How do you get from the red triangle to the orange triangle?

• reflection over the y-axis and then the x-axis

• rotate 270 degrees and reflect over y = 2

• reflection over the y-axis and translate up 7

• rotate 180 degrees and reflect over y = 2

• translate up 7, translate right 6, and then reflect over the x-axis

Based on the givens, which triangle congruence theorem can be used?

given:

∠A ≅ ∠D

∠B ≅ ∠E

AB ≅ DE

• SSS

• SAS

• ASA

• AAS