Geometry Test Ch. 1 Review Instructions • Sample questions will be shown on each slide. • Try the question on scratch paper. • Click on the screen and the correct work and answer will appear. E• F• D• C• B• A• q T m n 1. Give another name for plane T. (Any 3 noncollinear points. EX: ABC) 2. Name a point that is not contained in lines q or m. D 3. Name the intersection of lines q and n. C Find the value of the variable and VW if V is between U and W. UV = 4p -3 VW = 5p Variable: UV + VW = UW 4p-3 + 5p = 42 9p – 3 = 42 9p = 45 p=5 VW: VW = 5p 5(5) 25 UW = 42 Find the coordinates of the midpoint having the given endpoints. A(-4,-4), B(-2,2) π₯+π₯ −4+(−2) −6 X-coordinate midpoint: = = = 2 2 2 π¦+π¦ −4+2 −2 Y-coordinate midpoint: = = = -1 2 2 2 Final Answer: (-3, -1) -3 Find the distance between the endpoints. G(5,2) H(-2, 8) Distance formula= (π₯ − π₯)2 +(π¦ − π¦)2 = (5 − (−2))2 +(2 − 8)2 = (7)2 +(−6)2 = 49 + 36 = 85 ≈ 9.2 Refer to the figure to answer the questions. E 4 1 9 D A 7 B 6 C 1. Name the vertex of angle 6. C 2. Name the sides of angle 4. πππ πΈπΆ πΈπ· 3. Write another name for ∠ 7. ∠ABD or ∠ABE 4. Write another name for ∠π΄π·πΈ. ∠9 Refer to the figure. A E F B D C Name a linear pair. EX: ∠AFE and ∠ AFB Name a pair of vertical angles. EX: ∠EFD and ∠AFB Name an angle supplementary to ∠AFB. EX: ∠ BFD Name a pair of complementary angles. ∠CFD and ∠DFE The measures of two supplementary angles are (4r + 7)° and (r - 2) °. Find the measures of the variable and the angles. Supplementary = 180° (4r +7) + (r – 2) = 180 5r + 5 = 180 5r = 175 r = 35 4r + 7 = 4(35) + 7 = 147° r - 2 = 35 – 2 = 33° Two angles are complementary. One angle measure 26 degrees more than the other. Find the measures of the angles. Complementary = 90° A + B = 90 A = B + 26 (B + 26) + B = 90 2B + 26 = 90 2B = 64 B = 32° A = B +26 = 32 + 26 = 58° Name the polygon by its number of sides. Classify it as convex or concave and regular or nonregular. Quadrilateral Convex Regular Decagon Concave Nonregular Find the area and perimeter of each figure. 3m 6.5ft 4m A=½LxW A = ½ (3 x 4) = 6m² P = sum of sides Find third side with pythagorean theorem. 3² + 4²=c² c = 5 P = 3 + 4 + 5 = 12m 14ft A=LxW A = 6.5 x 14 = 91ft² P = 2L + 2W P = 2(6.5) + 2(14) P= 13 + 28 = 41ft Give the name of each figure. 10yd 7yd 3in 2in 5in Rectangular prism Cylinder Give the number of faces edges and vertices of the figure shown. A B C D F E H G F= 6 V= 8 E= 12