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Triangle Congruence Project

Author:Heather Owens

SSS

Transformation

(x,y)-> (x-3, y-4)

Coordinates

List the original coordinates and the new image coordinates after performing the transformation.

Distance formula

List the lengths of all 3 sides of the original triangle. List the lengths of all 3 sides of the new triangle.

Congruent Parts (angles)

List the 3 pairs of congruent angles.

Congruent Parts (sides)

List the 3 pairs of congruent sides.

Congruence Statement

Write the congruence statements for the two triangles.

SAS

Transformation

Reflect over y-axis (x,y)-> (-x, y)

Coordinates

List the original coordinates and the new image coordinates after performing the transformation.

Distance formula

List the lengths of all 2 sides of the original triangle. List the lengths of all 2 sides of the new triangle.

Angle Measure

Find the measure of the included angle on the original triangle. Find the measure of the included angle on the new triangle.

Congruent Parts (angles)

List the 3 pairs of congruent angles.

Congruent Parts (sides)

List the 3 pairs of congruent sides.

Congruence Statement

Write the congruence statements for the two triangles.

ASA

Transformation

Rotate 180 degrees (x,y) -> (-x, -y)

Coordinates

List the original coordinates and the new image coordinates after performing the transformation.

Distance formula

List the length of all 1 side of the original triangle. List the length of all 1 side of the new triangle.

Angle Measure

Find the measure of the angles on both side of the measured line for the original triangle. Find the measure of the angles on both side of the measured line for the new triangle.

Congruent Parts (angles)

List the 3 pairs of congruent angles.

Congruent Parts (sides)

List the 3 pairs of congruent sides.

Congruence Statement

Write the congruence statements for the two triangles.

AAS

Transformation

Reflect over x-axis (x,y)-> (x, -y)

Coordinates

List the original coordinates and the new image coordinates after performing the transformation.

Distance formula

List the length of all 1 side of the original triangle. List the length of all 1 side of the new triangle.

Angle Measure

Find the measure of two angles, one on side of the measured line and the other across from the measured line, for the original triangle. Find the measure of two angles, one on side of the measured line and the other across from the measured line, for the new triangle.

Congruent Parts (angles)

List the 3 pairs of congruent angles.

Congruent Parts (sides)

List the 3 pairs of congruent sides.

Congruence Statement

Write the congruence statements for the two triangles.

HL

Translation

(x,y)-> (x-2, y+3)

Coordinates

List the original coordinates and the new image coordinates after performing the transformation.

Distance

List the length of one leg of the original triangle. List the length of the corresponding leg of the new triangle.

Distance Formula

List the length of hypotenuse of the original triangle. List the length of hypotenuse of the new triangle.

Congruent Parts (angles)

List the 3 pairs of congruent angles.

Congruent Parts (sides)

List the 3 pairs of congruent sides.

Congruence Statement

Write the congruence statements for the two triangles.

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