Geometry Unit Test

What is a valid conclusion that can be drawn from these statements using the Law of Syllogism? If a triangle is isosceles, then it has two congruent sides. If a triangle has two congruent sides, then it has two congruent angles.

• Therefore, the triangle has two congruent angles.

• Therefore, the triangle has two congruent sides.

• If a triangle has two congruent angles, then it is isosceles.

• If a triangle is isosceles, then it has two congruent angles.

Convert the following statement into a biconditional. If a shape has seven sides, then it is a heptagon.

• If a shape has seven sides if and only if then it is a heptagon.

• If a shape has seven sides if and only if it is a heptagon.

• A shape has seven sides if and only if it is a heptagon.

• A shape has seven sides if and only if then it is a heptagon.

Which one is the vertex of Angle 1?

• 1

• J

• M

• K

TR is the angle bisector <ATS. The m<RTS = (17x - 5)°, and m<ATS = (28x + 8)°. Which of the following is the correct form of equation to find x ?

• 17x-5=28x+8

• 17x=28x+8-5

• 2(17x-5)=28x+8

• 17x-5+28x+8=180

TR is the angle bisector <ATS. The m<RTS = (17x - 5)°, and m<ATS = (28x + 8)°.

Find x.

• -1

• 5

• 3

• 6

TR is the angle bisector <ATS. The m<RTS = (17x - 5)°, and m<ATS = (28x + 8)°.

Find m<ATS =

• 84

• 92

• 46

• 67

TR is the angle bisector <ATS. The m<RTS = (17x - 5)°, and m<ATS = (28x + 8)°.

Find m<RTS =

• 51

• 92

• 46

• 84

Line XY intersects Plane S at Z.

• True

• False

What is another name for plane S ?

• Plane ABJ

• Plane CBT

• Plane ABT

• Plane Z

Line HD and Line XY are

• Parallel

• Coplanar

• Collinear

• Skew Lines