University:
California State University, Sacramento
Course:
MATH 1 | Mathematical Reasoning
Academic year:

2023
Views:

94

Pages:

7
Author:

Julian Ayala

Unit Test Figure WXYZ is a parallelogram. Which angle measures are correct? Select three options. m m m m m X = 55° W = 125° W = 55° Z = 125° Z = 55° Given: RT TV and ST TU Prove: RSVU is a parallelogram. Statements RT 1. ST TV; TU 2. RTS and RTU and 3. RTS RTU 4. ? Reasons 1. given VTU are vert. VTS are vert. VTU; VTS s; s 2. definition of vertical angles 3. vertical angles are congruent 4. SAS congruency theorem 5. VRS VRU RVU; RVS; USR RUS VRS and RVU, USR and SUV, VRU and USV are each a pair of alternate interior angles 6. 7. RS UV and RU 5. CPCTC SUV; USV RVS, RUS and 6. definition of alternate interior angles converse of the 7. parallelogram diagonal theorem 8. definition of parallelogram SV 8. RSVU is a parallelogram What is the missing statement in step 4? RTS RTS VRS VUR VTU and RTU RVS and RTU VRU and USR VUS and UVS VTS STV USV SRU Figure ABCD is a parallelogram. What is the value of p? 6 7 8 9 Which concept can be used to prove that the diagonals of a parallelogram bisect each other? congruent triangles similar triangles congruent rectangles similar rectangles Figure ABCD is a square. Prove BD AC. Statements Reasons 1. ABCD is a square 2. DAB, 3. DAB 4. AB 5. ABC, BC BAD 6. BD 1. given BCD, and ABC CD CDA are right angles 2. definition of a square BCD DA ABC AC CDA 3. right angles are congruent 4. ? 5. SAS 6. CPCTC What is the missing reason in the proof? all sides of a square are congruent all right angles measure 90° definition of diagonal definition of perpendicular Jacob is cutting a tile in the shape of a parallelogram. Two opposite angles have measures of (6n − 70)° and (2n + 10)°. What are the two different angle measures of the parallelogram-shaped tile? 20° and 160° 50° and 130° 30° and 150° 70° and 110° HIJK is a parallelogram because the midpoint of both diagonals is __________, which means the diagonals bisect each other. (1,−1) (1,1) (1,0) (0,1) The diagonals of a parallelogram are congruent. Which could be the parallelogram? trapezoid rectangle kite rhombus Juanita is cutting a piece of construction paper in the shape of a parallelogram. Two opposite sides of the parallelogram have lengths (5n − 6) cm and (3n − 2) cm. A third side measures (2n + 3) cm. What are the lengths of two adjacent sides of the parallelogram? 2 cm and 2 cm 4 cm and 7 cm 7 cm and 9 cm 13 cm and 19 cm What is the measure of angle O in parallelogram LMNO? 35° 75° 105° 155 A 15-meter by 23-meter garden is divided into two sections. Two sidewalks run along the diagonal of the square section and along the diagonal of the smaller rectangular section. What is the approximate sum of the lengths of the two sidewalks, shown as dotted lines? 21.2 m 27.5 m 32.5 m 38.2 m What is the perimeter of square ABCD? units units 28 units 37 units Rhombus LMNO is shown with its diagonals. Angle MLO measures 112°. What is the measure of angle MLP? 45° 56° 68° 90° In parallelogram RSTU, SW = 4 cm, WT = 6 cm, RS = 5 cm, and ST = 7 cm. What is the length of line segment WU? 4 cm 5 cm 6 cm 7 cm In parallelogram WXYZ, WY = 12 in., XZ = 16 in., WX = 10 in., and XY = 9 in. What is the length of line segment MX? 6 in. 7 in. 8 in. 9 in.

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