Polygons
Segments & Angles
Logic & Proofs
Relationships with Transversals
Sneaky Algebra
100
In square SQUA the m∠QSU = 3x - 6. Determine the value of x
x = 17
3x - 6 = 45
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.
What is the reason for step 3? (It is not vertical angles are congruent!)
What is substitution?
100
The relationship between angles 7 and 3.
What are corresponding angles?
100
What is 99 degrees?
200
What is the exterior angle sum of a nonagon?
360
200
B is the midpoint of line segment AC. 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
Angle 4 = 2x - 8 and angle 5 = 3x - 2.
What is the value of x?
2x - 8 + 3x - 2 = 180
5x-10=180
x = 38
200
Determine the equation of the line that passes through the point (7, 0) and is parallel to the line 8x + 4y = 6. (Use Demos!)
What is y = -2x + 14?
300
The angles of a pentagon are 40, 87, x - 9, 120, and 3x. What is the value of x?
x = 71
40 + ...... + 3x = 540
4x - 9 = 293
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
If A = 4 then A+1 = 5
If A+1=5 then A+2 = 6
________________________
therefore, if ........
by the Law of .......
If A = 4 then A + 2 = 6 by Syllogism
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 m∠3.
What is 68 degrees?
4x+8+7x+7 = 180
x = 15
400
In rhombus RHOM, the perimeter is 40 and HM=12. What is the length of RO?
RO = 16
Draw a diagram, do Pythagorean th with 6,x, and 10, then RO = 2(8)
400
In the diagram:
m||n, r||s,
What vocabulary word describes angles 2 and 8? What is the relationship?
alternate exterior angles, 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 (T/F)? and the converse of the statement is (T/F)?
What is false
converse is true
400
angleM = 100 and angle A = 100 .
Which lines must be parallel
None
400
What is 43 degrees?
500
One interior angle of a regular polygon is 162 degrees. How many sides does the polygon have?
20
Option 1 (n-2)180=162n
Option 2 - Find exterior angle, 360/ext angle = number of sides
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
angle1=70, angle6=110, angle 9 = 110
Which lines must be parallel?
What is r //s
500
Segment AB has endpoints at B(-2,3) and A(10,7). B is the midpoint of AC. What are the coordinates of C?
(-14, -1)