Name: ______________________________ Date: ______________ Unit 4A CFA 1. The angle measures of a triangle are shown in the diagram. What is the value of x? 2. Four triangles are shown. One side of each triangle lies on a ray, and the triangles are not drawn to scale. Based on these triangles, which statement about x is true? A. x = 23, because 115 + 42 = 157 and 180 - 157 = 23 B. x = 157, because 180 - (115 + 42) = 23 and 180 - 23 = 157 C. x = 107, because 180 - 115 = 65 and 65 + 42 = 107 D. x = 337, because 115 + 42 = 157 and 157 + 180 = 337 3. Look at the two figures below. A. Are the two figures similar? YES NO B. Explain why or why not. _______________________________________________________________________ _______________________________________________________________________ _______________________________________________________________________ 4. In each diagram, line k is parallel to line l, and line t intersects lines k and l. Based on the diagrams, which statement is true? A.The value of x is 111, because the two angles shown in each diagram are supplementary. B.The value of x is 21, because the two angles shown in each diagram are complementary. C.The value of x is 69, because the two angles shown in each diagram are congruent. D.The value of x is greater than 90, because the two angles shown in each diagram are obtuse angles. Name: ______________________________ Date: ______________ Unit 4B CFA 1. Figure ABCDE and Figure VWXYZ are similar figures. Which proportion must be true? A. B. 2. C. D. Figure O, the smaller shape, was dilated with the origin as the center of dilation to create Figure P, the larger shape? Which rule best represents the dilation that was applied to Figure O to create Figure P? A. B. C. D. 3. Pentagon SMART is shown on the coordinate grid. Pentagon SMART is dilated with the origin as the center of dilation using the rule to create pentagon S’M’A’R’T’. Which statement is true? A. Pentagon S’M’A’R’T’ is larger than pentagon SMART, because the scale factor is greater than 1. B. Pentagon S’M’A’R’T’ is smaller than pentagon SMARTMNPQR, because the scale factor is less than 1. C. Pentagon S’M’A’R’T’ is smaller than pentagon SMART, because the scale factor is greater than 1. D. Pentagon S’M’A’R’T’ is larger than pentagon SMART, because the scale factor is less than 1. 4. Richardson ISD has made a scale model of the campus of Lake Highlands Junior High. The scale of the model is 1 inch = 3 feet. An existing gymnasium is How tall, in feet, is the actual gymnasium? inches tall in the model. Name: ______________________________ Date: ______________ Unit 4C CFA 1. Hexagon STUVWZ is rotated 180° clockwise about the origin to create hexagon S'T'U'V'W'Z'. Which statement is true? A. If (x, y) represents the coordinates of a vertex of hexagon STUVWZ, then (–x, y) represents the coordinates of the corresponding vertex of hexagon S'T'U'V'W'Z'. B. If (x, y) represents the coordinates of a vertex of hexagon STUVWZ, then (–x, –y) represents the coordinates of the corresponding vertex of hexagon S'T'U'V'W'Z'. C. Hexagon S'T'U'V'W'Z' is not congruent to hexagon STUVWZ. D. If (x, y) represents the coordinates of a vertex of hexagon STUVWZ, then (–y, x) represents the coordinates of the corresponding vertex of hexagon S'T'U'V'W'Z'. 2. 3. A transformation is applied to a figure to create a new figure. Which transformation does not preserve congruence? A. A translation 3 units right B. A dilation by a scale factor of C. A reflection across the x-axis D. A rotation of 90° clockwise The coordinate grid shows quadrilateral SWAG. Quadrilateral SWAG is rotated 90° clockwise about the origin to create quadrilateral S’W’A’G’. Which rule describes this transformation? A. B. C. D. 4. Pentagon VWXYZ is shown on the coordinate grid. A student reflected pentagon VWXYZ across the x-axis to create pentagon V’W’X’Y’Z’. Write a rule that best describes this transformation? (x, y) 5. _______________________________ Quadrilateral PQRS was translated 5 units to the right and 3 units up to create quadrilateral P’Q’R’S’. Write a rule that best describes this transformation? (x, y) _______________________________ Name: ___________________________ Date: ___________ Unit 4 CSA 1. Triangle ABC and triangle DEF are similar. Which proportion must be true? 2. A building has a height of 125 meters and a length of 80 meters. On a scale drawing of the building, the height is 25 centimeters. What is the length of the building on the scale drawing in centimeters? A. 55 cm B. 16 cm C. 20 cm D. 64 cm 3. The angle measures of a triangle are shown in the diagram. What is the value of x? 4. In each diagram, line g is parallel to line k, and line t intersects lines g and k. Based on the diagrams, which statement about x is true? A. The value of x is 180, because the labeled angles in each diagram are supplementary and the sum of the measures of supplementary angles is 180 degrees. B. The value of x is 90, because the labeled angles in each diagram are complementary and the sum of the measures of complementary angles is 90 degrees. C. The value of x is 44, because the sum of the measures of the labeled angles in each diagram is 180 degrees. D. The value of x is 136, because the labeled angles in each diagram are congruent. 5. A circle is graphed on a coordinate grid and then reflected across the y-axis. If the center of the original circle was located at (x, y) which ordered pair represents the center of the new circle after the transformation? A. (x, y) B. (x, -y) C. (-x, y) D. (-x, -y) 6. A figure was transformed on a coordinate grid using the rule Which of the following describes this transformation? A. A reflection across the x-axis B. A reflection across the y-axis C. A 90° clockwise rotation about the origin D. A 180° clockwise rotation about the origin . 7. Trapezoid WKRP was translated 4 units to the left and 5 units up on a coordinate grid to create trapezoid W’K’R’P′. Which rule describes this transformation? 8. A transformation is applied to a figure to create a new figure on a coordinate grid. Which transformation does NOT preserve congruence? A. A rotation of 270° counterclockwise B. A reflection across the y-axis C. A dilation by a scale factor of 1.5 D. A translation of 50 units down 9. Triangle XYZ is rotated 90° clockwise about the origin to form triangle X’Y′Z’. Which statement is true? A. The sum of the angle measures of triangle XYZ is 90° less than the sum of the angle measures of triangle X’Y’Z’. B. The angle measures of triangle XYZ are less than the corresponding angle measures of triangle X’Y’Z’. C. Triangle XYZ is not congruent to triangle X’Y’Z’. D. The area of triangle XYZ is equal to the area of triangle X’Y’Z’. 10. Find the value of x if triangle RUV is similar to triangle RST. 11. Pentagon ABCDE was dilated with the origin as the center of dilation to create pentagon A’B’C’D’E’. Which rule best represents the dilation applied to Pentagon ABCDE to create Pentagon A’B’C’D’E’? 12. Pentagon MNPQR is shown on the coordinate grid. Pentagon MNPQR is dilated with the origin as the center of dilation using the rule to create pentagon M’N’P’Q’. Which statement is true? A. Pentagon M’N’P’Q’R’ is smaller than pentagon MNPQR, because the scale factor is greater than 1. B. Pentagon M’N’P’Q’R’ is smaller than pentagon MNPQR, because the scale factor is less than 1. C. Pentagon M’N’P’Q’R’ is larger than pentagon MNPQR, because the scale factor is greater than 1. D. Pentagon M’N’P’Q’R’ is larger than pentagon MNPQR, because the scale factor is less than 1.
