SHOW WORK ON ALL FREE RESPONSE. QUESTION 1 1 Given: , C is the midpoint of both and . Prove: Complete the proof below by choosing the correct reasons for line numbers 3 and 7. Statement Reason Given 1. 2.C is the midpoint of and Given 3. Midpoint Theorem 4. 5. angles 6. and are vertical Definition of vertical angles Vertical Angle Theorem 7. 2 Reflexive Property; SAS Midpoint Theorem; ASA Midpoint Theorem; SAS Reflexive Property; ASA 2 points QUESTION 2 1 Which postulate can be used to prove that and are congruent? SS S SA S AS A AA S 2 points QUESTION 3 1 Which postulate can be used to prove that Given: and and are congruent? SAS SSA SSS not congruent 2 points QUESTION 4 1 Which postulate can be used to prove that Given: and are congruent? and not congruent ASA SAS SSS 2 points QUESTION 5 1 Given: , bisects Prove: Complete the proof by choosing the correct statement for line number 4 and the correct reason for line number 5. Statement Reason 1. Given 2. Given 3. Given bisects 4. Definition of an angle bisector 5. 2 ; AAS ; ASA ; ASA , AAS 2 points QUESTION 6 1 Which postulate can be used to prove that the triangles are congruent? SAS SSS ASA not congruent 2 points QUESTION 7 1 Given: and Prove: Complete the proof by choosing the correct statement for line number 3. Statement 2 Reason 1. Given 2. Given 3. Reflexive Property 4. AAS 2 points QUESTION 8 1 Which postulate can be used to prove that the triangles are congruent? not congruent SSA HL SAS 2 points QUESTION 9 1 The two triangles are congruent. What is the measure of angle G? 79 35 101 66 2 points QUESTION 10-4.02 1 Identity the congruence statement for the triangles below. 1 List the angles of triangle PQR from smallest to largest. 2 points QUESTION 2 1 Which side is the smallest? 2 points QUESTION 3 1 List the sides of triangle WXY in order from smallest to largest. 2 points QUESTION 4 1 Which inequality is true? 2 points QUESTION 5 1 Which angle has the greater measure? The angles are congruent 2 points QUESTION 6 1 Find the range for the measurement of the third side of a triangle, x, given the measures of the two sides: 5m and 11m. 6m > x > 16m 5m > x > 11m 6m x 1 6m 7m > x > 17m 2 points QUESTION 7 1 A triangle can be formed with side lengths 5, 7 and 10. True Fals e 2 points QUESTION 8 1 In triangle PQR 7 9 1 1 1 3 = 7.2 and = 5.2. Which measure cannot be ? 2 points QUESTION 9 1 Classify the triangle based on the side lengths 10, 12 and 23. right acute obtuse no triangle can be formed with given side lengths 2 points QUESTION 10-4.04 1 Classify the triangle based on the side lengths 7, 15 and 21 right acute obtuse no triangle can be formed with given side lengths 1 Classify triangle AED based on side lengths. scalene isoseles equilater al right 2 points QUESTION 2 1 Classify triangle QSR based on side lengths. scalene isosceles equilater al obtuse 2 points QUESTION 3 1 Classify the triangle based on angle measures. 3 points QUESTION 4 1 Find the measure of angle CBA. 3 points QUESTION 5 1 Find the measure of angle K. 3 points QUESTION 6 1 The measure of an exterior angle of a triangle is equal to the sum of the measures of the two remote interior angles. True Fals e 2 points QUESTION 7 1 Find the measure of angle Z. Press Tab to enter the content editor. For the toolbar, press ALT+F10 (PC) or ALT+FN+F10 (Mac). Path: p Words:0 3 points QUESTION 8 1 Name the point of concurrency formed by the angle bisectors of a triangle. 3 points QUESTION 9 1 Define an altitude of a triangle. 3 points QUESTION 10 1 Find the measure of angle R. QUESTION 11 1 Find the value of x. 3 points QUESTION 12 1 Triangle ABD is congruent to triangle CBD True Fals e 2 points QUESTION 13 1 Which postulate can be use to prove Given: QUD ADU. and SAS SSA SSS not congruent 2 points QUESTION 14 1 Which postulate can be used to prove that the triangles are congruent? ASA AAS SAA not congruent 2 points QUESTION 15 1 Write a congruence statement for the triangles below. FDE AB FDE BA FDE CB FDE CA C C A B 2 points QUESTION 16 1 If the hypotenuse and leg of one right triangle are congruent to the hypotenuse and corresponding leg of another triangle, then the triangles are congruent. True Fals e 2 points QUESTION 17 1 ABC RSQ, find the measure of angle Q. 3 points QUESTION 18 1 Write a two column proof. Given: and bisects . Prove: ABD CBD 3 points QUESTION 19 1 Write a two column proof. Given: bisects and . Prove: . 3 points QUESTION 20 1 Find the value of c. QUESTION 21 1 Find the value of x. 3 points QUESTION 22 1 A ladder 20 feet long leans against a wall and forms an angle of 30 with the ground. How far from the wall is the ladder? 3 points QUESTION 23 1 Triangle ABC is equilateral. Find the length of . 3 points QUESTION 24 1 How far up a wall will an 11 meter ladder reach, if the foot of the ladder must be 4 meters from the base of the wall? Round to the nearest hundredth. 3 points QUESTION 25 1 A ramp was constructed to load a truck. If the ramp is 10 feet long and the horizontal distance from the bottom of the ramp to the truck is 8 feet, what is the vertical height of the ramp? 3 points QUESTION 26 1 Use the figure below to determine the relationship between the lengths of and 3 points QUESTION 27 1 Which side is the largest? 3 points QUESTION 28 1 Which inequality is false? > > > > 2 points QUESTION 29 1 Which inequality is true? > 7 > > > 2 points QUESTION 30 1 A triangle can be formed with side lengths 5, 5 and 10? True Fals e 2 points QUESTION 31 1 Find the range of measurements of the third side of a triangle, x, given the measures of the other two sides: 5 in and 13 in. 18 in x 8 in 18 in x 8 in 18 in < x < 8 in 18 in > x > 8 in 2 points QUESTION 32 1 Classify the triangle based on side lengths 4, 6 and 7. right acute obtuse no triangle can be formed with given side lengths 2 points QUESTION 33 1 Classify the triangle based on side lengths 4.5, 20 and 20.5. right acute obtuse no triangle can be formed with given side lengths 2 points QUESTION 34 1 If the perimeter of the triangle is 73 mm, find the value of x. QUESTION 35 1 Find the perimeter of an equilateral triangle with side length of 5.5 in. 3 points QUESTION 36 1 Find the area of the triangle. 3 points QUESTION 37 1 Find the value of x if the area of the triangle is 297.5 in 2? 3 points QUESTION 38-4.06 1 Find the area of the triangle. 1 The sum of the interior angles of a convex n-sided polygon can be found using the formula: 360(n - 2) 180(n - 2) 180n - 2 360n 2 points QUESTION 2 1 The sum of the angles in a convex 10-sided polygon is: 1800 188 3600 1440 2 points QUESTION 3 1 How many sides are there on a convex polygon if the sum of the interior angles is 3240? 1 8 1 9 2 0 2 1 2 points QUESTION 4 1 What is the sum of the interior angles of a convex nonagon? 1620 1800 1260 3240 2 points QUESTION 5 1 Find the measure of each interior angle of a regular convex dodecagon. Show equations and all work that leads to your answer. 3 points QUESTION 6 1 The measure of a single angle in a regular octagon is (4x + 12). Find the value of x. Show equations and all work that leads to your answer. 3 points QUESTION 7 1 If four angles of a convex pentagon measure 120, 93, 108, and 101, find the measure of the fifth angle. Show equations and work that lead to your answer. QUESTION 8-5.01 1 Find the measure of angle A. Show equations and all work that leads to your answer. 1 What is the sum of the exterior angles of a convex polygon? 360 180(n - 2) 180 360n 2 points QUESTION 2 1 What is the measure of each exterior angle in a regular 10-sided polygon? 18 180 360 36 2 points QUESTION 3 1 If each exterior angle or a regular polygon measures 15, how many sides does the polygon have? 2 0 2 2 2 4 2 6 2 points QUESTION 4 1 The exterior angles of a triangle measure x, (2x), and (3x). What is the value of x? 6 0 7 2 3 0 4 5 2 points QUESTION 5 1 The exterior angles of an octagon are 42, 55, 39, 20, 62, 45, and 47. What is the measure of the eighth exterior angle? Show equations and all work that leads to your answer. 3 points QUESTION 6 1 The measures of each exterior angle in a regular hexagon is (4x + 15). Find the value of x. Show equations and all work that leads to your answer. 3 points QUESTION 7 1 Find the value of x in the following figure. Show equations and work that lead to your answer. 3 points QUESTION 8-EXTERIOR 1 Find the measure of exterior angle A. Show equations and all work that leads to your answer. 1 The polygon is regular. True Fals e 2 points QUESTION 2 1 What is the name of a nine-sided polygon? octago n heptag on decago n nonago n 2 points QUESTION 3 1 The polygon is concave. True Fals e 2 points QUESTION 4 1 Find the sum of the measures of the interior angles of the polygon below. 900 1080 180 360 2 points QUESTION 5 1 Find the sum of the measure of the interior angles of the polygon below. 900 1260 1080 1620 2 points QUESTION 6 1 A Ferris Wheel at the amusement park is in the shape of a regular 18-gon. What is the measure of each interior angle of the polygon? 2880 20 22.5 160 2 points QUESTION 7 1 If four angles of a pentagon measure 108, 115, 89 and 102, find the measure of the fifth angle. 540 54 306 126 2 points QUESTION 8 1 Find the measure of angle B. 186 12 122 2 points QUESTION 9 1 If the measure of each exterior angle of a regular polygon is 40, determine how many sides the polygon has. 7 1 1 9 5 2 points Q U E S T I O N 1 0 - P O LY G O N 1 Find the measure of each exterior angle of a regular pentagon. 36 72 108 120 1 Find the measure of angle Y and the length of side XY of parallelogram WZYZ. angle = 28 angle = 24 angle = 28 angle = 24 Y = 75, XY Y = 75, XY Y = 105, XY Y = 105, XY 2 points QUESTION 2 1 In the parallelogram AXYZ, line segment AT = 4y - 2, line segment TY = 6x -12, line segment TX = 14, line segment ZT = 2x + 12. Find the value of x and y. x = 4, y = 6 x = 48, y = 28 x = 6, y = 28 x = 6, y = 4 2 points QUESTION 3 1 Find the value of x in parallelogram WXYZ. 70 16 24 11 0 2 points QUESTION 4 1 Find the value of x and y in parallelogram WXYZ. x = 1, y =1 x = 6, y =8 x = 13, y =7 x = 15, y =6 2 points QUESTION 5 1 The figure is a parallelogram. True Fals e 2 points QUESTION 6 1 The figure is a parallelogram. True Fals e 2 points QUESTION 7 1 Given: ABCD is a parallelogram and 110. Prove: 70 Complete the proof below by choosing the reason for line number 4 and statement for line number 5. Statement 1. ABCD is a parallelogram Reason Given 2. Given 110 3. and angles are consecutive Definition of consecutive angles 4. and are supplementary 5. 6. 110 + 7. 180 70 Definition of supplementary Substitution property of equality Subtraction property of equality Opposite angles of a parallelogram are supplementary; Consecutive angles of a parallelogram are supplementary; Consecutive angles of a parallelograms are congruent; Consecutive angles of a parallelogram are supplementary; 2 points QUESTION 8 1 Find the height of the parallelogram if the area is 2494 m 2 and the base measures 58 m. 86 m 58 m 43 m 116 m 2 points QUESTION 9 1 Find the area of the parallelogram. 69 cm2 345 cm2 276 cm2 180 cm2 2 points Q U E S T I O N 1 0 - PA R A L L E LO G R A M S 1 Find the length of the base of a parallelogram if the area is 3204 ft 2 and the height measures 36 ft. 36 ft 89 ft 44.5 ft 178 ft 1 Quadrilateral WXZY is a square. If the measure of angle XYZ = 4x + 15, find the value of x. 15 15 18.7 5 7.5 2 points QUESTION 2 1 Determine whether parallelogram JKLM with vertices J(-1, 1), K(4, 1), L(4, 6) and M(-1, 6) is a rhombus, square, rectangle or all three. rhombus square rectangle rhombus, square and rectangle 2 points QUESTION 3 1 Quadrilateral ABCD with vertices A(4, 3), B(4, -2), C(-4, -2) and D(-4, 3) is a rectangle, find the length of the diagonals. 5 8 2 points QUESTION 4 1 Quadrilateral QRST is a rectangle. RT = 5x + 1 and QS = 6x - 3. Find QS. 8 2 1 4 2 4 2 points QUESTION 5 1 In rhombus ABCD, the measure of angle ABE equals 38, find the measure of angle BAE. 76 104 90 52 2 points QUESTION 6 1 Determine whether parallelogram JKLM with vertices J(-7, -2), K(0, 4), L(9, 2) and M(2, -4) is a rhombus, square, rectangle or all three. rhombus square rectangle rhombus, square and rectangle 2 points QUESTION 7 1 The sides of square ABCD are extended by the sides of equal length to form square MWTH. If MA = 6 and the area of ABCD is 144 cm2, find the area of MWTH. 360 cm2 180 cm2 129600 cm2 288 cm2 2 points QUESTION 8 1 George wants to carpet his rectangular living room. The cost is $3.88 per square foot. How much would it cost to carpet his living room? $271. 60 $36.0 9 $543. 20 $186. 24 2 points QUESTION 9 1 Find the perimeter and area of rectangle ABCD. P = 75 in; A = 406.25 in2 P = 42.5 in; A = 375 in2 P = 85 in; A = 375 in2 P = 90 in; A = 406.25 in2 2 points QUESTION 10 1 If the perimeter of a square is 64 cm, find the area. 32 cm2 48 cm2 64 cm2 256 cm2 2 points QUESTION 11-RHOMBI 1 Find the area of the rectangle. Round the answer to the nearest whole number. 33 51 340 2,60 1