* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
Download ABC DEF? DECF?
Survey
Document related concepts
History of geometry wikipedia , lookup
Rational trigonometry wikipedia , lookup
Euler angles wikipedia , lookup
Regular polytope wikipedia , lookup
Trigonometric functions wikipedia , lookup
History of trigonometry wikipedia , lookup
Technical drawing wikipedia , lookup
Multilateration wikipedia , lookup
Integer triangle wikipedia , lookup
List of regular polytopes and compounds wikipedia , lookup
Complex polytope wikipedia , lookup
Pythagorean theorem wikipedia , lookup
Transcript
Geometry Problem Set #3 Name_______________________________ Due – 4/18 or 4/19 Pd_________ Directions: To receive full credit, show all required work and place answers in the space provided, when applicable. 1. This is a regular polygon. Find the value of x and y. 2. Joseph is standing 12 feet from a mirror lying on the ground, and his eyes are 5 feet above the ground. The line-of-sight reflection on the mirror makes 1 congruent to mirror, which is closest to the height of the building? A. 100 ft B. 110 ft C. 130 ft D. 145 ft 2. If the building is 264 feet from the 3. In addition to the information given in the drawing, which statement(s) would be sufficient to prove that ABC DEF? BC 1 AC 2 BC 9 B. AC 4 C. AC = 18 and BC = 8 D. AC = 8 and BC = 18 A. 4. ABCD and DECF are both squares. If AC = 28 millimeters, what is the perimeter of DECF? A. B. C. D. 14 mm 28 mm 42 mm 56 mm 4th Term SOL Practice Problem Set #3 1 5. In parallelogram WXYZ, plot the point of intersection of WY and ZX. W (–2, 6) Z (1, 1) X (6, 6) Y (9, 1) 6. One exterior angle of a regular polygon measures 72°. What is the sum of the interior angles? A. B. C. D. 18° 108° 360° 540° 7. Circle all the triangles that are congruent. A. B. C. D. 4th Term SOL Practice Problem Set #3 2 8. Which additional piece of information would prove that A. B. C. D. IJK LMN? NM = 18 LM = 18 NM = 15 LM =10 9. Given: M is the midpoint of LN and KP. The given information is sufficient to prove by which postulate/theorem? A. B. C. D. KML PMN Angle-Side-Angle Side-Side-Side Side-Angle-Side Angle-Angle-Side 10. Select all of the following which could not be the lengths of the sides of a triangle. A. B. C. D. 6 ft, 3 ft, 9 ft 3 cm, 4 cm , 5 cm 4 in., 6 in., 8 in. 7 km, 2 km, 4 km 11. In DEF, mDE to largest. 12. In A. B. C. D. ABC, if m C 8 inches, mEF m B 6 inches, and mDF 10 inches. List the angles in order from smallest m A, then – AB < AC < BC AC < AB < BC AB < BC < CA BC < AB < CA 4th Term SOL Practice Problem Set #3 3 13. A baseball infield is in the shape of a square, 90 feet on a side. What is the direct distance from home plate to second base? A. 90 ft B. 90 2 ft C. 90 3 ft D. 180 ft 14. Plot the length of a diagonal brace that could be used for a wall 9 feet high and 12 feet long. 7 8 9 10 11 12 13 14 15 16 17 18 15. Gene’s horse corral, labeled ABCD in the drawing, is shaped as a parallelogram and is adjacent to the shed, labeled ZAD. If a gate, labeled CF, opens all the way to the corral fence, position labeled CG, through how many degrees does the gate swing? A. 40° B. 50° C. 130° D. 140° 4th Term SOL Practice Problem Set #3 4 16. A diagonal of parallelogram DEFG forms angles with measures shown. What is the measure of A. 44° B. 56° C. 80° D. 100° DEF ? 17. Quadrilateral MNOP is a parallelogram. The coordinates of three of its vertices are M(1, 5), N(2, 1), and O(–3, –2). Plot point P on the coordinate grid. M N O 18. Rectangular flowerbeds are built on each side of a fishpond in the shape of a regular hexagon. x What is the measure of the angle x, between two consecutive flowerbeds? A. 30° B. 45° C. 60° D. 90° 19. A portion of a regular polygon is shown. The polygon has – A. B. C. D. 15 sides 16 sides 18 sides 20 sides 20. Each interior angle of a regular polygon has a measure of 162°. The polygon has a total of – A. B. C. D. 17 sides 18 sides 19 sides 20 sides 4th Term SOL Practice Problem Set #3 5