ΔCAT = ΔDOG 45˚ Find the measure of angle C C A T D O G 45˚ 95˚ 40˚ 5 7 9 2x + 1.
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Transcript of ΔCAT = ΔDOG 45˚ Find the measure of angle C C A T D O G 45˚ 95˚ 40˚ 5 7 9 2x + 1.
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 angle BAE.
Angle 1 = 93˚Angle 2 = 81˚
B C D E
A
12
6˚
Always, Sometimes, or Never?
Always
An altitude of a triangle is perpendicular to the side to which it is drawn.
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?
Sometimes
An altitude of a triangle bisects the side to which it is drawn.
Always, Sometimes, or Never?
Sometimes
The base angles of an isosceles triangle are larger than the vertex angle.
Find the measure of angle 1 and angle 2. Rays AC and AD trisect angle BAE.
Angle 1 = 96˚Angle 2 = 72˚
B C D E
A
12
12˚
Always, Sometimes, or Never?
Always
2 triangles are congruent if 3 pairs of corresponding sides are congruent.
Always, Sometimes, or Never?
Always
2 right triangles are congruent if their hypotenuses and a pair of acute angles are congruent.
Always, Sometimes, or Never?
Sometimes
2 triangles are congruent if 2 pairs of corresponding sides, and a pair of non-included angles are congruent.
Find the measure of angle 1 and angle 2. Rays AC and AD trisect angle BAE.
Angle 1 = 80˚Angle 2 = 60˚
B C D E
A
12
20˚
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