Segments & Angles
Logic & Proofs
Relationships with Transversals
Sneaky Algebra
100
Determine the midpoint of a line segment with endpoints located at (-3, -1) and (7, -5).
What is (2, -3)?
100
Andrew constructed a proof to verify that vertical angles are congruent. Part of Andrew's proof is shown below.
What is the reason for step 3?
What is substitution?
100
The relationship between angles 7 and 3.
What are corresponding angles?
100
What is 99 degrees?
200
Line segment AC is twice as long as line segment BC. If AC is represented by 2x+4 and BC is represented by 3x−12, find the value of x .
What is x=7?
200
Two lines are cut by a transversal. If you want to show that the lines are parallel, which of the following angle pairs would be proof of congruency?
I. Alternate interior
II. Vertical
III. Consecutive interior
IV. Alternate interior
V. Corresponding
What are I, IV, and V only?
200
The two relationships between angles 4 and 6.
What are congruent angles and alternate interior angles?
200
Determine the equation of the line that passes through the point (7, 0) and is parallel to the line 8x + 4y = 6.
What is y = -2x + 14?
300
On a map, Devon's house is located at (-3, 5) and Hayley's house is located at (3, -3). What is the distance between Devon's house and Hayley's house?
What is 10 units?
300
Andrew constructed a proof to verify that vertical angles are congruent. Part of Andrew's proof is shown below.
What is the missing statement & reason for step 9?
What is m∠AEC = m∠BED by the Transitive Property?
300
Given the map below, which two streets must be parallel? (not drawn to scale)
What are Ave. C and Ave. E?
300
and
intersect at point Z, creating angles 1, 2, 3, and 4. m∠1 = 4x + 8 and m∠2 = 7x + 7. Determine the value of x.
What is x=15?
400
In the diagram:
m||n, r||s, angle1congangle11, angle4congangle10, angle2congangle8, angle9congangle15, and angle8congangle14.
The conjecture that can be made about the geometric relationship shown in the pattern between parallel lines and angles?
What is if two lines are parallel and cut by a transversal, then alternate exterior angles are congruent?
400
A conditional statement is shown.
If a triangle has an interior angle that measures 60°, then the triangle is an equilateral triangle.
The given conditional statement is ____, and the converse of the statement is ____.
What are false, then true?
400
The only angles to make a linear pair with angleM .
What are
angleN and angleP?
400
What is 43 degrees?
500
In the figure below, k ∥ t and k ⊥ q .
Based on this information, this statement can be proven true.
A.∠ ACB ≅ ∠ ABC
B.Δ CAB is an acute triangle.
C.Δ DCB ≅ ∠ BCA
D.Δ CAB is a right triangle.
What is Δ CAB is a right triangle?
500
A true conditional statement is shown.
If the diagonals of a rectangle are perpendicular, then the rectangle is a square.
Which row in the table identifies the converse, inverse, and contrapositive statements of the given conditional statement?
What is Row 1?
500
A figure is shown below. This is an angle vertical to
angleEBC.
What is
angleABF?
500
Segment AB has endpoints at (-2,3) and (10,7). What is the equation of the perpendicular bisector (midpoint) of that segment?
What is y = -3x + 17 ?