Triangle Sum Exterior Angle Midsegment Summative

A triangle with three acute angles and no congruent sides is __________ triangle.

• an equiangular

• a right isosceles

• an acute isosceles

• an acute scalene

In triangle ABC, m<A = 48^o, and m<C = 24^o. What type of triangle is triangle ABC?

• acute

• right

• obtuse

• isosceles

In triangle ABC, < A is obtuse. Which statement is true about the sum of the measures of < B and < C?

• m<B + m<C = 90

• m<B + m<C < 90

• m<B + m<C > 90

• m<B + m<C = 180

Triangle ABC is an isosceles triangle. AB is the longest side with length 6x + 9. BC= 3x + 6 and CA = 2x + 12.

Find AB.

• 6

• 93

• 45

• 24

  Find the measure of < 1.

• 50

• 85

• 90

• 30

Find the measure of < XYZ.

• 128

• 142

• 132

• 118

Use the information in the figure. Find m<D.

• 32

• 122

• 64

• 58

Find the value of x.

• 23

• 40

• 13

• none of these

Classify the following triangle by its angles AND by its sides.

Triangle ABC lies on a coordinate plane such that A (-2, -6), B (-4, 0), and C (3, -1)

• Acute Scalene

• Obtuse Isosceles

• Right Scalene

• Acute Isosceles

Triangle XYZ lies on a coordinate plane such that X (4, -1), Y (5, 6), and Z (1, 3)

• Acute Isosceles

• Obtuse Scalene

• Right Isosceles

• Obtuse Isosceles