Congruent Triangles

Name Computer Number

Construction

Construct Triangle ABC.

Construct a vertical segment XY to the right of the triangle.

Choose this segment and transform "mark mirror".

Choose each side and vertex of Triangle ABC and transform "reflect". (Name the triangle DEF)

= = = = = =

AB = BC = AC = DE = EF = DF =

What can you conclude about Triangle DEF?

Make Triangle ABC a right, obtuse, and acute triangle. Does your conclusion about Triangle DEF hold true?

Construct a new Triangle ABC. Make segment AB = 2, BC = 3, and AC = 4.

= = =

Construct Triangle XYZ with the same segment lengths.

= = =

Are the two triangles congruent?

Which postulates proves the triangles are congruent?

Construct segment AC.

Make and equal 50 degrees.

Make and equal 80 degrees.

What reason is AC = AC?

= = AB = DC = AD = BC =

Are the triangles congruent?

State a congruency for the triangles.

For the given information, why are these triangles congruent?

Construction

Construct two intersecting segments AB and CD. (A and C on the left, B and D on the right)

Choose each segment and construct "point at intersection" and label as point E.

Choose points A and E, construct "segment".

Repeat for points B & E, C & E, and D & E.

Choose segment AB and CD and display "hide segments".

Choose points A and C and construct "segment".

Choose points B and D and construct "segment".

Make AE = EB = 3, and CE = ED = 4.

= and =

Why are these angles congruent?

AC = BD = == = =

Are the triangles congruent?

State the congruency for the triangles.

From the given information, why are the triangles congruent?

Construct Triangle XYZ .

Make = 40 degrees, = 80 degrees, and YX = 3.

= XY = XZ =

On the same screen, construct Triangle MNO.

Make = 40 degrees, = 80 degrees, and OM = 3.

= MN = ON =

Are the two triangles congruent? Why or why not?

State the congruency for the triangles.