(02.06 LC) A pair of parallel lines is cut by a transversal as shown below:  Which of the following best represents the relatio
nship between angles m and n? (1 point) n = 180 degrees − m m = n m = 180 degrees − n n = 2m 2. (02.03 LC) Triangle ABC is transformed to triangle A′B′C′, as shown below:  Which equation shows the correct relationship between the measures of the angles of the two triangles? (1 point)  =   =   =   =  3. (02.01 LC) The figure shows triangle PQR and some of its transformed images on a coordinate grid:  Which of the four triangles was formed by a translation of triangle PQR? (1 point) D C A B 4. (02.01 MC) The figure shows a pair of parallel line segments on a coordinate grid:  The line segments are translated 2 units to the left to form A′B′ and C′D′. Which statement describes A′B′ and C′D′? (1 point) Line segments A′B′ and C′D′ intersect at (−2, 0) and are two times farther apart than AB and CD. Line segments A′B′ and C′D′ do not intersect and are the same distance apart as AB and CD. Line segments A′B′ and C′D′ do not intersect and are closer together than AB and CD. Line segments A′B′ and C′D′ intersect at (0, −2) and are two times farther apart than AB and CD. 5. (02.02 MC) Angle ABC is formed by segments AB and BC on the following coordinate grid:  Angle ABC is rotated 90 degrees counterclockwise about the origin to form angle A′B′C′. Which statement shows the measure of angle A′B′C′? (1 point) m∠ A′B′C′ = 90 degrees m∠ A′B′C′ = 2 ⋅ m∠ABC m∠ A′B′C′ = 180 degrees m∠ A′B′C′ = m∠ABC 6. (02.03 MC) Figure ABCD is transformed to figure , as shown:  Which of the following sequences of transformations is used to obtain figure  from figure ABCD? (1 point) Reflection about the y-axis followed by a translation to the right by 1 unit Counterclockwise rotation by 90 degrees about the origin followed by a translation to the left by 1 unit Reflection about the x-axis followed by a translation to the left by 1 unit Counterclockwise rotation by 90 degrees about the origin followed by a translation to the right by 1 unit 7. (02.06 MC) A pair of parallel lines is cut by a transversal:  What is the measure of angle x? (1 point) 15 degrees 10 degrees 45 degrees 60 degrees 8. (02.05 MC) Which statement is true about figures ABCD and A′B′C′D′? (1 point)  A′B′C′D′ is obtained by rotating ABCD counterclockwise by 180 degrees about the origin and then reflecting it about the y-axis. A′B′C′D′ is obtained by translating ABCD 4 units up and then reflecting it about the y-axis. A′B′C′D′ is obtained by rotating ABCD counterclockwise by 90 degrees about the origin and then reflecting it about the x-axis. A′B′C′D′ is obtained by translating ABCD 4 units right and then reflecting it about the x-axis. 9. (02.05 MC) Two similar polygons are shown below:  Which transformation was performed on PQRS to form P′Q′R′S′? (1 point) A dilation factor of 2 A dilation factor of  A dilation factor of 4 A dilation factor of  10. (02.07 HC) The figure shows two parallel lines KL and NO cut by the transversals KO and LN:  Which statement best explains the relationship between  and ? (1 point)  because  and   because  and   because  and   because  and  11. (02.02 LC) The figure shows the letter W and four of its transformed images—A, B, C, and D:  Which of the four images was formed by a reflection of the letter W? (1 point) D B C A 12. (02.03 MC) Polygons ABCD and A′B′C′D′ are shown on the following coordinate grid:  What set of transformations is performed on ABCD to form A′B′C′D′? (1 point) A 270-degree counterclockwise rotation about the origin followed by a translation 1 unit to the left A translation 1 unit to the left followed by a 90-degree counterclockwise rotation about the origin A translation 1 unit to the left followed by a 270-degree counterclockwise rotation about the origin A 90-degree counterclockwise rotation about the origin followed by a translation 1 unit to the left 13. (02.05 LC) Triangle PQR is transformed to similar triangle P′Q′R′.  What is the scale factor of dilation? (1 point)     14. (02.07 MC) What is the measure of ? (1 point)  , because  110 degrees − p, because  p + 70 degrees, because  p, because  15. (02.05 LC) Figure ABCD is reflected about the x-axis to obtain figure A′B′C′D′:  Which statement best describes the relationship between the two figures? (1 point) Figure ABCD is bigger than figure A′B′C′D′. The measure of angle D is equal to the measure of angle A′. Figure ABCD is similar to figure A′B′C′D′. The measure of angle D is equal to the measure of angle B′. 16. (02.07 LC) Which relationship is always correct for the angles m, n, and p of triangle ABC? (1 point)  m + p + n = 180 degrees m + p = n m + p + n = 90 degrees n + p = m
. Then 
, and differentiating both sides with respect to 
gives
, you get
, so 
and 
. So 
