Isosceles Triangle Properties

In ∆QRS, if QR ≅ RS, m∠Q = (8x - 17)°, m∠R = (19x + 4)°, and m∠S = (5x + 1)°, find the value of x and the measure of each angle.

• 6

• 31

• 118

• 33

• 17

• 125

• 16

• 37

Tags

CCSS.8.G.A.5

In ∆KLM, if ∠K ≅ ∠L, KL = 9x - 40, LM = 7x - 37, and KM = 3x + 23, find the value of x and the measure of each side.

• 15

• 95

• 68

• 66

• 98

• 94

• 26

• 62

Tags

CCSS.HSG.CO.C.10

In ∆XYZ, if ∠X ≅ ∠Z, XY = 13x - 21, YZ = 8x - 6, and XZ = x + 4, find the value of x and the measure of each side.

X ​ (a)   XY ​ (b)   XZ ​ (c)  

​

• 3

• 18

• 7

• 14

• 23

• 4

• 19

• 26

• 12

Tags

CCSS.HSG.CO.C.9

Which statement is true?

• Isosceles triangles have all different internal angles.

• Isosceles triangles have two equal internal angles.

• Isosceles triangles have three equal internal angles.

Tags

CCSS.2.G.A.1

Look at the sides and angles of this triangle. Which type of triangle is pictured?

• Equilateral Triangle

• Right Isosceles Triangle

• Obtuse Scalene Triangle

• Obtuse Equilateral Triangle

Tags

CCSS.4.G.A.2

What is the name of this kind of triangle?

• Right

• Scalene

• Isosceles

• Equilateral

Tags

CCSS.4.G.A.2

The congruent sides of an isosceles triangle are called what?

• sides

• bases

• legs

• arms

The base of an isosceles triangle is which part of the triangle?

• The non-congruent angle

• One of the congruent sides

• The non-congruent side

• One of the congruent angles