Chapter 6 Test Geometry Mcdougal Littell

Chapter 6 Test Geometry Mcdougal Littell Chapter 6 Test Geometry McDougal Littell I Multiple Choice 2 points each 20 points total 1 Which of the following is NOT a property of parallelograms a Opposite sides are parallel b Opposite sides are congruent c Opposite angles are congruent d All angles are right angles 2 In parallelogram ABCD if A 110 what is the measure of C a 70 b 110 c 180 d 250 3 Which of the following quadrilaterals is NOT a parallelogram a Rectangle b Rhombus c Square d Trapezoid 4 The diagonals of a rhombus are a Parallel b Perpendicular c Congruent d All of the above 5 In rectangle ABCD if AB 5 and BC 12 what is the length of diagonal AC a 13 b 17 c 60 d 169 6 The midsegment of a trapezoid is parallel to the bases and its length is equal to a The sum of the bases 2 b The difference of the bases c Half the sum of the bases d Half the difference of the bases 7 Which of the following statements is true about a kite a All sides are congruent b All angles are congruent c Diagonals bisect each other d Diagonals are perpendicular 8 A quadrilateral with exactly one pair of parallel sides is called a a Parallelogram b Trapezoid c Kite d Rhombus 9 The diagonals of a square are a Parallel b Perpendicular c Congruent d Both b and c 10 If the diagonals of a quadrilateral bisect each other the quadrilateral is a A rectangle b A rhombus c A parallelogram d A kite II True or False 1 point each 10 points total 1 All parallelograms are rectangles 2 The diagonals of a rectangle are congruent 3 The diagonals of a rhombus bisect each other at right angles 4 A square is a special type of rhombus 5 The opposite angles of a trapezoid are congruent 6 A kite has two pairs of congruent consecutive sides 7 The diagonals of a kite are perpendicular bisectors of each other 8 The midsegment of a trapezoid is parallel to the bases and equal in length to the sum of the bases 9 A parallelogram can be defined as a quadrilateral with opposite sides congruent 3 10 A rectangle can be defined as a quadrilateral with four right angles III Short Answer 2 points each 20 points total 1 What are the properties of a parallelogram 2 How do you prove that a quadrilateral is a parallelogram 3 What is the difference between a rhombus and a square 4 What is the difference between a trapezoid and a parallelogram 5 Explain the relationship between the midsegment of a trapezoid and its bases 6 What are the properties of a kite 7 How do you find the area of a parallelogram 8 How do you find the area of a trapezoid 9 How do you find the area of a kite 10 Explain why a square is a special type of rectangle rhombus and parallelogram IV Problem Solving 5 points each 30 points total 1 ABCD is a parallelogram with AB 10 BC 6 and A 60 Find the perimeter and area of ABCD 2 EFGH is a rhombus with diagonals EG 12 and FH 16 Find the side length and the area of EFGH 3 JKLM is a trapezoid with bases JK 8 and LM 12 and height 5 Find the area of JKLM 4 NOPQ is a kite with diagonals NP 10 and OQ 6 Find the area of NOPQ 5 RSTU is a rectangle with diagonals RT 14 and SU 14 Find the perimeter and area of RSTU 6 VWXY is a parallelogram with V 100 Find the measures of W X and Y V Proof 10 points Prove that the diagonals of a rectangle bisect each other Answer Key I Multiple Choice 1 d 2 b 3 d 4 b 5 a 6 c 4 7 d 8 b 9 d 10 c II True or False 1 False 2 True 3 True 4 True 5 False 6 True 7 True 8 False 9 True 10 True III Short Answer 1 Opposite sides are parallel and congruent Opposite angles are congruent Diagonals bisect each other 2 Show that opposite sides are parallel or that opposite sides are congruent or that opposite angles are congruent or that diagonals bisect each other 3 A rhombus has four congruent sides while a square has four congruent sides and four right angles 4 A trapezoid has only one pair of parallel sides while a parallelogram has two pairs of parallel sides 5 The midsegment of a trapezoid is parallel to the bases and its length is equal to half the sum of the bases 6 Two pairs of consecutive sides are congruent Diagonals are perpendicular One diagonal bisects the other 7 Area of a parallelogram base height 8 Area of a trapezoid 12 height sum of bases 9 Area of a kite 12 product of diagonals 10 A square has four congruent sides and four right angles so it is a rhombus four congruent sides and a rectangle four right angles Since a rhombus and a rectangle are also parallelograms a square is also a parallelogram 5 IV Problem Solving 1 Perimeter 32 Area 303 2 Side length 10 Area 96 3 Area 50 4 Area 30 5 Perimeter 28 Area 49 6 W 80 X 100 Y 80 V Proof Let ABCD be a rectangle with diagonals AC and BD intersecting at point E Since ABCD is a rectangle A B C D 90 Consider triangles ABE and CDE BAE DCE 90 AB CD opposite sides of a rectangle are congruent and AE CE diagonals of a rectangle bisect each other Therefore triangles ABE and CDE are congruent by SAS Since corresponding parts of congruent triangles are congruent BE DE Therefore the diagonals of a rectangle bisect each other Note This is just a sample test The actual Chapter 6 test from McDougal Littell may have different questions and difficulty levels This test should be used as a guide for studying and understanding the concepts covered in Chapter 6