Topic 6 Congruence & Similarity Post

1. Rectangle ABCD has vertices A(-3,1), B(-3,2), C(-2,1), and D(-2,2). Graph ABCD and its translation 2 units RIGHT and 4 units DOWN. 2. Describe the translation between triangle ABC and it's transformation A'B'C'. 3. In the diagram a∥ b. Use the diagram to answer the following question. If m∠ 4 = (3x)° and m∠ 8 = (x+40)° the measure of m∠ 4 must equal 60 degrees. 4. Is line l parallel to line m? Explain. no; corresponding angles are not congruent yes; alternate interior angles are congruent no; alternate interior angles are not congruent yes; corresponding angles are congruent 5. The dashed figure is a dilation of the original figure. Find the scale factor. Classify the dilation as an enlargement or a reduction. scale factor 1 reduction scale factor 4; enlargement scale factor 3; enlargement scale factor 1 reduction 6. Which two figures appear to be congruent? Figures 1 and 4 appear to be congruent. 7. Find the values of x, y and z. Angle x is 101°Angle y is 79°Angle z is 42° 8. Describe a sequence of transformations that maps △EFG to △MNO translation 5 units to the left and 4 units down, followed by a reflection across the y-axis A translation 4 units to the left and 5 units down, followed by a reflection across the x-axis A translation 4 units to the left and 5 units down, followed by a reflection across the y-axis 9. ∆A’B’C’ is a reflection of ∆ABC. Which choice best describes the reflection? a reflection over the line x=2 a reflection over the line y=3 a reflection over the line x=3 a reflection over the y-axis 10. What are the coordinate points for △TUV with vertices T(1, 2), U(3, 5), and V(6, 3) after a 90° clockwise rotation? T(2, -1) U(5, -3) V(3, -6) 11. Line m∥ n. Use your knowledge of angle relationships to classify the angle pair as corresponding, same side interior, supplementary, or alternate interior, then solve for x. 3x+7 and 129 are corresponding angles which makes x=34 12. Line m∥ n. Use your knowledge of angle relationships to classify the angle pair as corresponding, same side interior, supplementary, or alternate interior, then solve for x. 4x-9 and 75 are same side interior angles which makes x=28.5 13. Figure QRST has the following coordinates. Q(1,2) R(3,4) S(5,5) and T(3,2). What are the coordinates image of QRST after a dilation with center (0, 0) and a scale factor of 3? Q'(3,6) R'(9,12) S'(15,15) T'(9,6) 14. Find the m∠R and m∠S. You will need to solve for m∠Q (aka x) before you can calculate the measure of R and S. The m∠Q (aka x) is 30 making the m∠R=50 and the m∠S=100 15. Reflect the following image across the x-axis. You will need to complete this on your answer document.