ommon ore Readiness ssessment 3 1. Which shape is not matched with its correct net? 3. In the figure below, you cannot assume that 9. X Y Z P T W XPT and ZPW are vertical angles. m YPW = 110 Points T, P, and Z are collinear. Q XW T and Q TZ T intersect in point P.. Given the diagram below, which of the following statements is NOT true? P Q S T R QT QT F PR and SQ intersect in point T. G Q PT and TQ T are both rays. H ST and PR are both segments. Q T J PT and TQ are opposite rays.. What is the distance between points (1, 9) and (, -)? F 158 H 1130 G 58 J 130 5. TUV and VUW are adjacent complementary angles. If m TUV = 80, what is m VUW? 10 80 90 100 159 HSIM1_N_R_M1_M3.indd Page 159 7/06/13 7:57 M ehi-6 /19/PE00739_N/HSIM1_NILLRIES/NILLRY/HSIM1/Math_01/XXXXXXXXXX/Layout/In...
6. Q is the midpoint of PR. What are the coordinates of point R? y 9. Identify the correct orthographic drawling for the isometric drawing below. ssume there are no hidden cubes. Q x P F (6, 5) H (, 5) G (5, 6) J (, 5) 7. rectangular picture has an area of 30 square inches. The length of the picture is 1 inch more than the width. What is the perimeter of the picture? 5 in. 6 in. 11 in. in. 8. Given that the figure below is a quarter of a circle, which of the formulas could be used to find the length of the curved part? 10. In the figure below, if m X = 10y, then m X = 9. X F pr H pr G pr J pr F 10y H 90-10y G 360-10y J 180-10y 160 HSIM1_N_R_M1_M3.indd Page 160 7/06/13 7:57 M ehi-6 /19/PE00739_N/HSIM1_NILLRIES/NILLRY/HSIM1/Math_01/XXXXXXXXXX/Layout/In...
11. Find the value of x. x = 7 x = 9.3 x = 1 x =.7 1. Name pairs of congruent angles in the figure. I. EIF and GIH II. GIF and GIH III. EIF and GIF IV. EIG and FIH E I H 3x F G F I and IV G II and III H I and II J I only (x 8) 13. The vertices of JKL are J( -1, 8), K(3, 5), and L(6, -9). What are the vertices of the T 6,-7 (JKL)? J ( -1, 8), K (3, 5), L (6, -9) J (, -), K (3, 5), L (6, -9) J (3, 6), K (7, 3), L (10, -11) J ( -3, 1), K (1, 9), L (, -5) 15. T 6a, b7 () = ( ). If is (6, -8), is ( -, ), and is (, -6), what are the coordinates of? ( -, -1) ( -8, -) ( -, 6) ( -, -1) 16. What are the coordinates of R 6y-axis7 ()? (, 1) F (, -) G ( -, -) H ( -, ) J (, ) 17. G is the reflection of G across the line x = 6. If the coordinates of G are ( -3, 7), what are the coordinates of G? ( -3, -7) (3, 7) (7, 15) (15, 7) O (, ) y (, ) x (, 1) 1. escribe a single transformation of that is a composition of the following pair of transformations: T 6-5,-37 () followed by T 6 -,-7 ( ). F T 6-1,-57 () G T 6-9,-57 () H T 6-9,-17 () J T 6-1,-17 () 161 HSIM1_N_R_M1_M3.indd Page 161 7/06/13 7:57 M ehi-6 /19/PE00739_N/HSIM1_NILLRIES/NILLRY/HSIM1/Math_01/XXXXXXXXXX/Layout/In...
18. What is the image of E(3, ) after being reflected across x = -1and then being reflected across the x-axis? F ( -5, ) G ( -5, -) H (5, ) J (5, -) 19. If is rotated 90 clockwise around, what would be the coordinates of Point? (0, 0) O y (, 3) x 1. For XYZ, find the angle of counterclockwise rotation about point that maps point X to point Z. X 30 60 10 180 Y. What is being constructed? Z ( -1, 0) (0, 0) (0, -1) (, -1) 0. Which of the following mappings of is NOT the result of just a single rotation? F perpendicular bisector G parallel lines H circle J copy of an angle F G H J 16 HSIM1_N_R_M1_M3.indd Page 16 7/06/13 7:57 M ehi-6 /19/PE00739_N/HSIM1_NILLRIES/NILLRY/HSIM1/Math_01/XXXXXXXXXX/Layout/In...
3. Which diagram shows the construction of an angle bisector? 5. Which construction is shown in the diagram below? isecting opying opying JK isecting JK 6. The proof that vertical angles 1 and 3 are congruent is started below.. To find the midpoint of PQ, what is the correct first step? F Put the compass point on point P and draw a long arc. e sure the opening is equal to 1. G Put the compass point on point P and draw a short arc. e sure the opening is equal to 1. H Put the compass point on point P and draw a long arc. e sure the opening is greater than 1. J Put the compass point on point P and draw a short arc. e sure the opening is less than 1. Statement Reason m 1 + m = 180 ngles 1 and are supplementary angles. m + m 3 = 180 ngles and 3 are supplementary angles. Which statement should be next? F m 1 + m = m + m 3 G m 3 + m = 180 H m 1 + m = m + m 1 J m 3 + m = 180 163 HSIM1_N_R_M1_M3.indd Page 163 7/06/13 7:57 M ehi-6 /19/PE00739_N/HSIM1_NILLRIES/NILLRY/HSIM1/Math_01/XXXXXXXXXX/Layout/In...
7. What is proven below? Statement Reason 1. m 1 + m = 90 1. Given. m + m 3 = 90. Given 3. m 1 + m = 3. Transitive m + m 3 Property of Equality. m 1 = m 3. Subtraction Property of Equality 5. 1 _ 3 5. ngles with the same measure are congruent. ngles 1 and 3 are congruent when angle is complementary to both angles 1 and 3. ngles 1 and 3 are congruent when angle is supplementary to both angles 1 and 3. ngles 1 and 3 are congruent when angle is adjacent to both angles 1 and 3. ngles 1,, and 3 are right angles. 8. In the proof below, what reason is missing? Given: 1 and are right angles. Prove: 1 _ Statement Reason 1. 1 and are 1. Given right angles.. m 1 = 90 and. efinition of m = 90 a right angle. 3. m 1 = m 3. 9 9. has endpoints (, ) and (8, y). If is 10, what could be the value of y? 8 6 1 100 30. Identify the step that is justified by an incorrect reason. 1. m = 180 ; Given. m + m = ; ( dd. Post.) 3. x + 5 + x - = 180; (Subst. Prop. Of Eq.). 3x + 3 = 180; (istr. Prop) 5. 3x = 177; (dd. Prop. Of Eq.) 6. x = 59; (iv. Prop. Of Eq.) 7. m = x - ; given 8. m = 59 - ; (Trans. Prop. of ongruence) 9. m = 57; simplify F. step 3 G. step H. step 5 J. step 8 x + 5 x. 1 _. ngles with the same measure are congruent. F Subtraction Property of Equality G ddition Property of Equality H Transitive Property of Equality J ngles with the same measure are congruent. 16 STOP HSIM1_N_R_M1_M3.indd Page 16 7/06/13 7:57 M ehi-6 /19/PE00739_N/HSIM1_NILLRIES/NILLRY/HSIM1/Math_01/XXXXXXXXXX/Layout/In...