Geometry Test Exam Questions And Answers Verified 100% Correct

Geometry Test Exam Questions And Answers Verified 100% Correct In the diagram, KL = 2 square root 2 , LM = square root 5, and MN = square root 2 . What is the perimeter of isosceles trapezoid KLMN? - ANSWER C. 3 square root 2 + 2 square root 5 units In the diagram, AB = 10 and AC = 2 square root 10. What is the perimeter of △ABC? - ANSWER D. 20 + 2 square root 10 units HIJK is a parallelogram because the midpoint of both diagonals is which means the diagonals bisect each other. - ANSWER (1,0) Which statement proves that parallelogram KLMN is a rhombus? - ANSWER The slope of KM is 1 and the slope of NL is -1. Which statement proves that the diagonals of square PQRS are perpendicular bisectors of each other? - ANSWER The midpoint of both diagonals is 4 1/2 , 5 1/2 the slope What is the perimeter of △LMN? - ANSWER 8 + square root 10 units Given: ABCD is a kite. Prove: BD bisects AC. What is the missing reason in step 5? - ANSWER corresponding parts of congruent triangles are congruent Kite ABCD represents a softball field that is being built. If AC = 48 meters, what is the perimeter of the field? - ANSWER 140 meters Maggie puts together two isosceles triangles so that they share a base, creating a kite. Each leg of the upper triangle measures 41 inches and each leg of the lower one measures 50 inches. If the length of the base of both triangles measures 80 inches, what is the length of the kite's shorter diagonal? - ANSWER 39 inches What is the perimeter of square ABCD? - ANSWER B. 4 square root 37 Figure ABCD is a square. Prove BD ≅ AC. What is the missing reason in the proof? - ANSWER all sides of a square are congruent The diagram shows the shape of a plot of land that Maria will use for her garden. She needs to know the length of each side so she can buy fencing. What is the length of line segment FJ? - ANSWER 42 feet 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? - ANSWER 38.2 m Rhombus LMNO is shown with its diagonals. Angle MLO measures 112°. What is the measure of angle MLP? - ANSWER 56 What is the perimeter of parallelogram WXYZ? - ANSWER B. 2 square root 5 + 2 square root 17 units Square ABCD and isosceles triangle BUC are drawn to create trapezoid AUCD. What is the measure of angle DCU? - ANSWER 135o The perimeter of a rhombus is 28 centimeters. What is the length of each side of the rhombus? - ANSWER 7 The diagonals of a parallelogram are congruent. Which could be the parallelogram? - ANSWER rectangle In parallelogram WXYZ, WY = 12 in., XZ = 16 in., WX = 10 in., and XY = 9 in. What is the length of line segment MX? - ANSWER 8 Given: RT ≅ TV and ST ≅ TU Prove: RSVU is a parallelogram. - ANSWER △RTS ≅ △VTU and △RTU ≅ △VTS 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? - ANSWER 50° and 130° In circle D, which is tangent to the circle? - ANSWER AB Which equation can be used to find the measure of ? - ANSWER m:EHG + 80 + 35 = 360 What does CDE most specifically describe? - ANSWER a major arc Segments AC and BD are diameters of circle O. What is the measure ADE of ? - ANSWER 253 In circle D, which is a secant? - ANSWER GH Which is true regarding chords and diameters of circles? - ANSWER Both chords and diameters have two endpoints on a circle. Diameters must intersect the center of a circle. In circle O, SU is a diameter. What is m:ST? - ANSWER 130 What is the measure of CED? - ANSWER 212 In circle O, RT and SU are diameters. If m:RV = m:VU, what is mVU? - ANSWER 64 The measure of BAC is 240. What is the ratio of the measure of the major arc to the measure of the minor arc? - ANSWER 2:1 Line segment XY is tangent to circle Z at point U. If the measure of UV is 84°, what is the measure of ? - ANSWER 42 Angle KJL measures (7x - 8)o. Angle KML measures (3x + 8)o. What is the measure of arc KL? - ANSWER 40 Given: Circle M with inscribed angel KJL and congruent radii JM and ML Prove: m angel MJL = 1/2 { m: KL} What is the missing reason in step 8? - ANSWER substitution property In circle V, angle WXZ measures 30°. Line segments WV, XV, ZV, and YV are radii of circle V. What is the measure of WUX in circle V? - ANSWER 120 Line segment GJ is a diameter of circle L. Angle K measures (4x + 6)°. What is the value of x? - ANSWER 21