100 200 300 400 6.3 Parallel Lines and Angles 6.4 Triangle Sum Theorem 6.5 Isosceles Triangles 6.6 Parallelograms Secondary Math 2 6.1/6.2 Angles Pairs.

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Presentation transcript:

Parallel Lines and Angles 6.4 Triangle Sum Theorem 6.5 Isosceles Triangles 6.6 Parallelograms Secondary Math 2 6.1/6.2 Angles Pairs Credits 6.7 Special Parallelograms

6.1/ Answer Solve for x: 5x 60

6.1/ Answer If <1 and <2 form a linear pair and m<2=96°, find m<1.

6.1/ Answer (4x)  (5x – 27)  Solve for x:

6.1/ Answer Solve for x:

6.1/ Answer Given the angles are complementary, find m  A, if m  A = (7x + 4)  and m  B = (4x + 9) .

6.1/ Answer Two angles are supplementary. One angle is 3 times bigger than the other. Find the measure of each angle.

6.1/ Answer- 100 Answer Answer: x = 12 Solve for x: 5x 60

6.1/ Answer- 200 Answer Answer: 84º If <1 and <2 form a linear pair and m<2=96°, find m<1.

6.1/ Answer- 300 Answer Answer: x = 23 (4x)  (5x – 27)  Solve for x:

6.1/ Answer- 400 Answer Answer: x = 9 Solve for x:

6.1/ Answer- 500 Answer Answer: 53º Given the angles are complementary, find m  A, if m  A = (7x + 4)  and m  B = (4x + 9) .

6.1/ Answer- 600 Answer Answer: 45° and 135° Two angles are supplementary. One angle is 3 times bigger than the other. Find the measure of each angle.

Answer What kind of angles are <6 and <3?

Answer What kind of angles are <1and <5?

Answer

Answer a b Find x so that a is parallel to b. x 115°

Answer a b Find x so that a is parallel to b. 3x 105°

Answer a b Find x so that a is parallel to b. 8x x – 2

Answer- 100 Answer Answer: Alternate Interior Angles What kind of angles are <6 and <3?

Answer- 200 Answer Answer: Corresponding Angles What kind of angles are <1and <5?

Answer- 300 Answer Answer: x = 20

Answer- 400 Answer Answer: x = 65 a b Find x so that a is parallel to b. x 115°

Answer- 500 Answer Answer: x = 35 a b Find x so that a is parallel to b. 3x 105°

Answer- 600 Answer Answer: x = 1 a b Find x so that a is parallel to b. 8x x – 2

Answer Classify the triangle below using sides and angles:

Answer Solve for x: x

Answer Solve for x:

Answer xx (2x +21)  Solve for x:

Answer Solve for x.

Answer Solve for x:

Answer: right and scalene Classify the triangle below using sides and angles:

Answer: 60° Solve for x: x

Answer: x = 58 Solve for x:

Answer: x = 23 xx (2x +21)  Solve for x:

Answer: x = 51 Solve for x.

Answer: x = 40 Solve for x:

6.5 – 100– 100 Answer Find the value of x:

Answer Find the value of x:

6.5 – 300– 300 Answer If the vertex of an isosceles triangle is 30º, what is the measure of one of the base angles?

Answer If one base angle of an isosceles triangle is 30º, what is the measure of one of the vertex angle?

Answer

Answer Given <D = <F, find the value(s) of x:

Answer- 100 Answer Answer: 7 Find the value of x:

Answer- 200 Answer Answer: 75°

Answer- 300 Answer Answer: 75º If the vertex of an isosceles triangle is 30º, what is the measure of one of the base angles?

Answer- 400 Answer Answer: 120º If one base angle of an isosceles triangle is 30º, what is the measure of one of the vertex angle?

Answer- 500 Answer Answer: x = 3

Answer- 600 Answer Answer: x = 10 or 1

Answer The opposite sides of a parallelogram are __________ and __________.

Answer A B C D M Given parallelogram ABCD, if AM = 8in find AC.

Answer Solve for x and y. 70 x y

Answer A B C D M In parallelogram ABCD, DB = 20 cm, find DM.

Answer A B C D M In parallelogram ABCD if <MCD = 42° and <MCB = 68° find m<ABC.

Answer Determine if the quadrilateral is a parallelogram. Support your answer. 70° 110°

Answer Answer- 100 Answer Answer: parallel and congruent The opposite sides of a parallelogram are __________ and __________.

Answer Answer- 200 Answer Answer : 16 A B C D M Given parallelogram ABCD, if AM = 8in find AC.

Answer Answer: x = 70, y = 110 Solve for x and y. 70 x y

Answer Answer- 400 Answer Answer: 10 A B C D M In parallelogram ABCD, DB = 20 cm, find DM.

Answer Answer- 500 Answer Answer: 70° A B C D M In parallelogram ABCD if <MCD = 42° and <MCB = 68° find m<ABC.

Answer Answer- 600 Answer Answer: NO, one pair of opposite side is parallel while the other pair is congruent. This does not prove the quadrilateral is a parallelogram. Determine if the quadrilateral is a parallelogram. Support your answer. 70° 110°

6.7 – 100 Answer Identify the parallelogram as a rectangle, rhombus, square, or none of these.

6.7 – 200 Answer

6.7 – 300 Answer Given ABCD is a rectangle, if AC = 16 find BD. AB C D

6.7 – 400 Answer Given WXYZ is a rhombus, solve for a. W X Y Z 3a

Answer If TU = 22 find the perimeter of rhombus TUVW

Answer

Answer Answer: rhombus Identify the parallelogram as a rectangle, rhombus, square, or none of these.

Answer Answer:

Answer Answer: 16

6.7 – 400 Answer Answer: 30

6.7 – 500 Answer Answer: 88

6.7 – 600 Answer Answer: 30