2. For △PQR and △EFD shown, which of the following could be steps to show that the SSS congruence criteria follows from the definition of congruence in terms of rigid motion? Select two correct answers.
A. Rotate △E′F′D′ so that D′F′¯¯¯maps to PQ¯¯¯
B. Reflect △E′′F′′D′′ across PR¯¯¯¯¯¯¯¯ so that E′′F′′¯¯¯¯¯¯¯¯¯¯¯¯ maps to QR
C. Rotate △E′F′D′ so that D′E′¯¯¯¯¯¯¯¯¯¯¯ maps to PR¯¯¯¯¯¯¯¯.
D. Translate △EFD so that point F maps to point Q.
E. Translate △EFD so that point D maps to point P.
3. Find the coordinates of a point in Quadrant 3 that makes the following triangles congruent.
Triangle GHJ: G(1,−6), H(2,−5), J(2,1)
Triangle NOP: N(−6,1), O(−5,2)
A. P(−3,−4)
B. P(−5,−6)
C. P(−6,−5)
D. P(−4,−3)
4. Which pair of triangles are congruent using the hypotenuse leg congruence criteria?
Select the two correct answers.
A. triangle QRS: Q(3,−4), R(3,−1), S(7,−1)
B. triangle DEF: D(−2,6), E(1,3), F(3,7)
C. triangle WXY: W(−6,4), X(−6,1), Y(−2,1)
D. triangle ABC: A(−7,4), B(−4,1), C(−2,5)
E. triangle TUV: T(−6,−5), U(−6,1), V(4,1)
2. C, E
3. C (P(-6,-5))
4. A (triangle QRS) and C (triangle WXY)