Name _____________________________________________________ Period _________
9th Grade - 13.2/13.3 Skills Practice – Congruent Triangles and the SSS Congruency Theorem
Identify the transformation used to create ΔXYZ on each coordinate plane. Identify the congruent angles and the
congruent sides. Then write a triangle congruence statement.
Ex.
1.
Triangle BCA was reflected over the x-axis to create
triangle XYZ.
̅̅̅̅
̅̅, ̅̅̅̅
̅̅̅, ̅̅̅̅
̅̅̅;
BC ≅ ̅̅
XY
CA ≅ ̅YZ
BA ≅ ̅XZ
∠B ≅ ∠X, ∠C ≅ ∠Y, ∠A ≅ ∠Z and ΔBCA ≅ ΔXYZ
2.
3.
List the corresponding sides and angles using congruence symbols for each pair of triangles represented by the given
congruence statement.
Ex. ΔJPM ≅ ΔTRW
5. ΔAEU ≅ ΔBCD
̅ ≅ TR
̅̅̅̅, PM
̅̅̅̅ ≅ RW
̅̅̅̅̅, JM
̅̅̅̅ ≅ TW
̅̅̅̅̅
JP
∠J ≅ ∠T, ∠P ≅ ∠R, ∠M ≅ ∠W
6.
ΔLUV ≅ ΔMTH
7. ΔRWB ≅ ΔVCQ
8. Analyze triangle MNO.
a.
Describe a transformation that can be performed on
ΔMNO that will result in a triangle being created in
Quadrant III.
b. Will the transformation you described preserve the
size and shape of the triangle?
c.
Perform the transformation and name the new
triangle PQR.
d. List the coordinates for the vertices of both triangles.
e.
Using the names of the vertices, write a triangle congruence statement for the triangles.
f.
Using your congruence statement, identify the congruent angles.
g.
Using your congruence statement, identify the congruent sides.
13.3 – SSS Congruency Theorem
Perform the transformation described on each given triangle. Then verify that the triangles are congruent by SSS. Use
the Distance Formula when necessary.
Ex. Reflect ΔABC over the y-axis to form ΔXYZ. Verify that ΔABC ≅ ΔXYZ by SSS.
9. Rotate ΔDEF 180 clockwise to form ΔQRS. Verify that ΔDEF ≅ ΔQRS by SSS.
10. Reflect ΔJKL over the x-axis to form ΔMNP. Verify that ΔJKL ≅ ΔMNP by SSS.
11. Analyze the triangles shown.
a. Are the two triangles shown on the grid congruent? Show and explain how you determined your answer.
b. Juan says the triangle congruency statement for these triangles should be ΔJKL ≅ ΔRST. Natsu says the triangle
congruency statement for these triangles should be ΔJKL ≅ ΔSTR. Who is correct? Explain your reasoning.