Geometry Triangles Review #1

To determine if a triangle can be made with sides of length a, b, and c, we need to apply the following theorem.

• The Pythagorean Theorem

• The Triangle Angle Sum Theorem

• The Triangle Inequality Theorem

• The Probability of Triangle Theorem

Triangles can be (check all that apply)

• Acute-Scalene

• Obtuse-Right

• Scalene-Right

• Acute-Equilateral

• Equilateral-Isosceles

Tags

CCSS.4.G.A.2

When the sum of two angles is 180 degrees, the angles are _____________.

Tags

CCSS.7.G.B.5

Two angles are ______________ when their sum is equal to 90 degrees.

• Supplementary

• Complementary

• Linear Pair

• Perpendicular

Tags

CCSS.7.G.B.5

Triangle ABC has one angle measuring 164 degrees. Therefore triangle ABC is an ______________ triangle.

• Right

• Acute

• Obtuse

• Non of the above

Tags

CCSS.4.G.A.2

Triangle XYZ has angles X = 47 degrees, Y = 83 degrees, and Z = 50 degrees. What is the measure of the external angle XYZ?

• 130 degrees

• 97 degrees

• 180 degrees

• 133 degrees

Tags

CCSS.8.G.A.5

Which of the following tests do the lengths a = 9, b = 13, c = 2 fail?

• a + b > c

• b + c > a

• a + c > b

• None, the three lengths pass all the tests

Tags

CCSS.7.G.A.2

Let triangle RST have sides RS = 11, ST = 13, and RT = 15. Based on the following tests, what type of triangle is RST? $a^2+b^2<c^{2\ }-->Obtuse$   $a^2+b^2=c^2\ -->Right$   $a^2+b^2>c^2-->Acute$  

• Right

• Obtuse

• Acute

• A triangle cannot be made with these lengths

Tags

CCSS.8.G.B.8

If triangle OPQ has angle O = 63 degrees, and angle P = 105 degrees, then angle Q must measure ____ degrees.

Tags

CCSS.8.G.A.5

In angle EFG we know that m<E + ,m<F + m<G = 180 because of the ____ Theorem

• Triangle Angle Sum

• Triangle Inequality

• Pythagorean Theorem

• Limits

Tags

CCSS.8.G.A.5