Basic geometry

Find the value of x.

• 7.1

• 9.1

• 12.1

• 13.1

What is the final step in constructing an angle bisector?

• Draw a line that intersects the angle at a right angle.

• Draw a line that connects the two endpoints of the angle.

• Draw a line that connect the vertex and passes through the intersection of the 2-arcs. This line divides vertex into two equal angles.

• Draw a line that passes through one of the sides of the angle.

Each statement is always true. Select all statements for which the converse is also always true.

• Statement: If 2 angles are vertical, then they are congruent.

  Converse: If 2 angles are congruent, then they are vertical.

• Statement: If 2 lines are perpendicular, then they intersect to form 4 right angles.

  Converse: If 2 lines intersect to form 4 right angles, then they are perpendicular.

• Statement: If a point is equidistant from the 2 endpoints of a segment, then it lies on the perpendicular bisector of the segment.

  Converse: If a point lies on the perpendicular bisector of a segment, then it is equidistant from the 2 endpoints of the segment.

• Statement: In an isosceles triangle, the base angles are congruent.

  Converse: If the base angles of a triangle are congruent, then the triangle is isosceles.

• Statement: If 2 angles form a straight angle, then they are supplementary.

  Converse: If 2 angles are supplementary, then they form a straight angle.

What should be the value of x, y and z?

• x=43°

  y=10

  z=10

• x=43°

  y=10

  z=5

• x=47°

  y=10

  z=5

• x=47°

  y=10

  z=10

Find the missing length indicated.

• 6

• 10

• 5

• 12

Find the measure of angle 1.

Which proportion is true?

• 
• 
• 
• 

Find y.  Use "Leg Rule".

• 3√5

• 6

• 6√5

• 4

Find the measure of angle 1

Choose the letter that represents the missing length in the figure

• 12
• 10
• 7
• 6