Survey

Survey

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Warm Up 1. For #1-2 find the rule, then find the next three terms in the sequence. 2 ,-4,-10, -16, -22… -6; -28,-34,-40 2. -8, -4, 0, 4, 8… 4; 12,16,20 2.5 Angle Relationships Geometry HW: P. 135 #1, 2, 4, 6 Linear Pair Conjecture Investigation Step 1) Draw PQ with point R between points P and Q. Step 2) Draw RS – Now you have a Linear Pair Step 3) Label the angles <1 and <2. Step 4) Use your protractor to measure <1 and <2. Step 5) Compare your results for your two angles measures with your group or a classmate. What do you notice about the two angles? So… Linear Pair Conjecture – If two angles form a linear pair, then the measures of the angles add up to 180 degrees. 1 2 <1+<2=180 ° Vertical Angles Conjecture Investigation Step 1) Draw two intersecting lines that are not perpendicular onto patty paper. Label the angles as shown: 1 Which angles are vertical? 4 2 3 Step 2) Fold the patty paper so that one pair of vertical angles lie over each other. What do you notice about their measure? Vertical Angles Conjecture: If two angles are vertical angles, then they are congruent. <1=<3 1 4 3 2 <2=<4 Find the missing measures Ex 1) a = 50° b = 130° c = 50° a b 130° c Find the missing measures Ex 2) a = 90° b = 90° c = 25° a b c 65° Find the missing measures Ex 3) a = 30° b = 100° c = 50° d = 100° a b c 50° d 30° Algebra with Angles – Ex 1 a) b) c) d) State the type of angles State the relationship Solve for x. Then find measure of each angle. 3x-40 2x-10 m<1 = 50° m<2 = 50° Now Try one on your own… Find angle 1 and angle 2: 2x-60 x-10 m<1 = 40° m<2 = 40° Algebra with Angles – Ex 2 a) b) c) d) State the type of angles State the relationship Solve for x Find the measure of angle 1. x 4x - 20 m<2 = 40°, m<1 = 140° Now Try one on your own… Find angle 1 and angle 2: x + 10 X+80 m<1 = 55° m<2 = 125°

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