#### Transcript Extra Practice for Unit 3 Test (PP)

ΔCAT = ΔDOG C G 7 40˚ 9 A T Find the measure of angle C 45˚ O 95˚ 45˚ D 5 Why are the triangles congruent? ASA The perimeter of ΔHAT is 110. HA = x + 5, AT = 2x – 25, and HT 40. Is ΔHAT scalene, isosceles, or equilateral? x + 5 + 2x – 25 + 40 = 110 3x + 20 = 110 3x = 90 x = 30 The sides are 40, 35 and 35, so isosceles. Find the measure of angle 1 and angle 2. Rays AC and AD trisect A angle BAE. 6˚ B Angle 1 = 93˚ Angle 2 = 81˚ 2 1 C D E Always, Sometimes, or Never? An altitude of a triangle is perpendicular to the side to which it is drawn. Always ΔMLK = ΔCOW M 12 O 15 W 3x + 3 30˚ 50˚ 100˚ L 18 Find the value of x. K C 3x + 3 = 18 3x = 15 x=5 Always, Sometimes, or Never? A right triangle is obtuse. Never Always, Sometimes, or Never? An obtuse triangle is isosceles Sometimes Always, Sometimes, or Never? An equilateral triangle is right. Never The perimeter of ΔAND is 69. AN = 23, ND = 3x + 2 and DA = 5x - 12 Is ΔAND scalene, isosceles, or equilateral? 23 + 3x + 2 + 5x – 12 = 69 8x +13 = 69 8x = 56 x=7 The sides are 23, 23, and 23 so equilateral. Always, Sometimes, or Never? An altitude of a triangle bisects the side to which it is drawn. Sometimes ΔMLK = ΔCOW M 12 O 15 W 3x + 3 30˚ 50˚ 100˚ L 18 K Find the measure of angle L. C 50˚ Always, Sometimes, or Never? A median of a triangle is outside the triangle. Never Always, Sometimes, or Never? An altitude of a triangle is outside the triangle. Sometimes Always, Sometimes, or Never? The base angles of an isosceles triangle are larger than the vertex angle. Sometimes Find the measure of angle 1 and angle 2. Rays AC and AD trisect A angle BAE. 12˚ B Angle 1 = 96˚ Angle 2 = 72˚ 2 1 C D E Why are the triangles congruent? Not congruent (angle, side, side) Always, Sometimes, or Never? 2 triangles are congruent if 3 pairs of corresponding sides are congruent. Always Why are the triangles congruent? Not congruent (angle, angle, angle) Always, Sometimes, or Never? An obtuse triangle is scalene. Sometimes Why are the triangles congruent? A D ΔABC & ΔDCB B C SAS Always, Sometimes, or Never? 2 right triangles are congruent if their hypotenuses and a pair of acute angles are congruent. Always Why are the triangles congruent? SAS Always, Sometimes, or Never? 2 triangles are congruent if 2 pairs of corresponding sides, and a pair of nonincluded angles are congruent. Sometimes Find the measure of angle 1 and angle 2. Rays AC and AD trisect A angle BAE. 20˚ B Angle 1 = 80˚ Angle 2 = 60˚ 2 1 C D E Always, Sometimes, or Never? A right triangle is acute. Never The perimeter of ΔBUG is 36. BU = 12, BG = 2x + 2, and UG = 3x – 3. Is ΔBUG scalene, isosceles, or equilateral? 12 + 2x + 2 + 3x – 3 = 36 5x + 11 = 36 5x = 25 x=5 The sides are 12, 12, and 12, so equilateral Always, Sometimes, or Never? An equilateral triangle is acute. Always ΔCAT = ΔDOG C G 7 40˚ 9 A Find the value of x. T 95˚ 45˚ D 2x + 1 = 5 2x = 4 x=2 O 5