Name: _______________________ Geometry Test #2 Date: _____________ O P M 1. Name two interior angles in _____________ _____________ 2. Name two exterior angles in __________________ ___________________ 3. Name two sets of supplementary angles. ______________ _______________ _____________ ______________ 4. Name two sets of complementary angles _______________ _______________ ______________ ______________ 5. Carson drew a diagonal inside a quadrilateral and made 2 equilateral triangles. What type of quadrilateral did Carson use to draw the triangles? ____________________ 6. Which quadrilaterals must have perpendicular diagonals? _____________________ 7. A triangle has two 50° interior angles, what type of triangle would this be? ________________________ 8. A. What is the measure of < zxy ? ________ B. What is the measure of <xzy? _______ C. What is the measure of < zyx? _______ 9. 10. 1 11. . 12. Draw the complement and supplement of the angle below and LABEL them!!!! 13. How many diagonals are in each of the following? A. Septagon _______________ B. Hexagon _______________ C. Nonagon ______________ 14. What is the sum of the measures of the interior angles of a decagon? _____________ 15. What is the formula to find the sum of the interior angles of any polygon? __________________________ 16. Trey draws an octagon. The sum of the measures of five of the interior angles is 720°. What is the measure of the other three congruent angles? ____________________ __________________ 17. The sum of the interior angles equals 540° in which polygon? ____________________________________________ 18. A septagon has two angles that measure 145° and 140°. If the other angles are congruent, what is the measurement of one of the angles? __________ Explain/Show your work!! 19. If a regular octagon has a perimeter of 400 centimeters, what is the measure of each interior angle and each side? __________________ __________________ Explain. 20. Name side lengths that could make the following triangles in cm.: A. equilateral ________________________ B. isosceles ________________________ C. scalene _______________________ 21. Two ________________ form an angle. 22. Draw the symbol that represents two lines being perpendicular. ________ and two lines being parallel _______ Next, show lines AB and CD as perpendicular lines intersecting at point E below. Also, show line XY being parallel to line AB. Use correct symbols!!! 23. Draw and label a non straight and non right angle < XYZ. Place a point in the interior of the angle and name it I and a point in the exterior and name it E. Identify the vertex: ___________________ Identify the 2 sides: ___________________ Estimate the measure of the angle you drew above: ___________________ 24. How many triangles can an decagon be triangulated into? _____________ What is the sum of an decagon’s angles? ___________ If the decagon was a “REGULAR” decagon, what would the measure of one of it’s angles be? _________ 25. How many diagonals extend from each vertex in a hexagon? ______ How many diagonals extend from each vertex in a decagon? _______________ Extra Credit Below: 1. A rhombus has one angle that measures 45°. What are the measures of the remaining angles? ____________ _____________ ___________If its perimeter is 80 yards, what is the length of a side? ___________________ 2. The sum of the measures of two adjacent sides and one diagonal in a rhombus equals 24 inches. When will the sum of the measures of the other sides and the other diagonal be 24 inches? Explain _____________________________________ ___________________________________________________________________________________________________ 3. An isosceles triangle has a perimeter of 78 cm and one side measures 28 cm. How many different triangles could have a perimeter of 78cm? __________________________ Give the dimensions of each. _______________________________ __________________________ ________________________ ____________________________________________ 4. Rhombus ABCD has a perimeter of 40 inches. The diagonals AC and BD measure 12 inches and 16 inches and intersect at a point E. What is the perimeter of triangle AED and triangle ABC? _________________________