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Name: ________________ Practice Test for unit 1 (investigation 3) 1a) What is the interior angle sum of a Explain your reasoning with work or a regular decagon? picture 1b) How many degrees are in one exterior angle of a regular decagon? Work space: 2) A triangle has sides of 4 and 8 units. Why or Why not? The measure of the longest side is missing. Ted says that one possibility for the unknown side length is 12. Do you agree with Ted? 3) Is a triangle with angle measures 35°, 75°, and 90° possible? Explain why or why not. 4) Name each of the following angles, then give an estimate of the measures. a b c d Name: Name: Name: Name: Measure estimate: Measure estimate: Measure estimate: Measure estimate: 5) Use rectangle with the diagonal. Find the measure of the angle marked x. Show your work. The measure of angle x= X 47 6) Use the following figure which shows parallel lines and a transversal. The measure of <2 is 60°. Find the measures of angles 1, 3, and 6. Use the boxes below to put your answer and to show your work. m<1=________ m<3=________ Explain how you found the Explain how you found measure: the measure: m<6=________ Explain how you found the measure: 7) Suppose the measure of an Draw the angles to show that you are correct. angle is 32°. What is the measure of its complementary angle? 8) Suppose two angles are supplementary and one of them measures 38°. What is the measure of the other angle? 9) Draw and label a parallelogram with two sides of length 8 cm, two sides of length 4 cm, and angles of 70° and 110°. 10) Draw and label a triangle ABC with AB = 9 cm, BC = 12 cm, and <ABC = 50°. Draw the angles to show that you are correct. Name: ______KEY____________ Practice Test for unit 1 1a) What is the interior angle sum of a Explain your reasoning with work or a regular decagon? picture (s-2) 180 1440 (10-2) 180 1440 1b) How many degrees are in one Work space: exterior angle of a regular decagon? If all the angles are 1440 and there 36 are 10 angles, you need to divide: 1440 ÷10=144 this is one inside angle, you need the supplement, so 180-144 2) A triangle has sides of 4 and 8 units. Why or Why not? The measure of the longest side is 8+4-12 and the other side much be less missing. Ted says that one possibility than 12, not equal to it. for the unknown side length is 12. Do you agree with Ted? NO 3) Is a triangle with angle measures Explain why or why not. 35°, 75°, and 90° possible? The angle measures must = 180, this NO equals 200 4) Name each of the following angles, then give an estimate of the measures. a b c d Name: Name: Name: Name: acute obtuse acute acute Measure estimate: Measure estimate: 120 Measure estimate: 10 Measure estimate: 45 30 5) Use rectangle with the Look at the diagonal. Find the measure of triangle only one angel is 90 the angle marked x. Show so 90-47 your work. The measure of angle x=43 X 47 6) Use the following figure which shows parallel lines and a transversal. The measure of <2 is 60°. Find the measures of angles 1, 3, and 6. 60 Use the boxes below to put your answer and to show your work. m<1=___120_____ Explain how you found the measure: Angle 1 and 2 are supplementary so 180 - 60 m<3=___60_____ Explain how you found the measure: Angle 2 and 3 are vertical, so they have the same measure m<6=__60______ Explain how you found the measure: Angle 2 and 6 are corresponding, so they have the same measure (also both are acute) 7) Suppose the measure of an Draw the angles to show that you are correct. angle is 32°. What is the 90-32= measure of its complementary 58 angle? 58 32 8) Suppose two angles are supplementary and one of them measures 38°. What is the measure of the other angle? 142 9) Draw and label a parallelogram with two sides of length 8 cm, two sides of length 4 cm, and angles of 70° and 110°. 10) Draw and label a triangle ABC with AB = 9 cm, BC = 12 cm, and <ABC = 50°. Draw the angles to show that you are correct. 180-38= 142 38 8cm 4cm 70 a 9cm 50 b 12cm 110 c