S.A.N. Diego
This is the order of sometimes, always, and never
for the three scenarios below:
1. A kite is _______ a quadrilateral.
2. A trapezoid is _______ a parallelogram.
3. A rectangle is _______ a square.
What is always, never, and sometimes?
I have four right angles
and perpendicular diagonals.
What is a square?
∆ABC, with the coordinates A(0,0), B(1,4), and C(7,12)
has segment DE where
D is the midpoint of AC and
E is the midpoint of AB.
These are the slope (m) and length (d)
of the midsegment of ∆ABC.
What are m = 4/3 and d = 5 units?
Given ∆ABC, where
m∠A = (3x+17)°,
m∠B = (8x+19)°, and
m∠C = (29x－16)°,
this is the value of x.
What is 4?
Given quad ABCD, with
AB=33, BC=26,
CD=2x+15, and DA=3y－7,
these are the values of x and y that will
prove the quad is a parallelogram.
What is x=9 and y=11?
This is the order of sometimes, always, and never
for the three scenarios below:
1. A kite is _______ a trapezoid.
2. A trapezoid is _______ an isosceles trapezoid.
3. A square is _______ a rectangle.
What is never, sometimes, and always?
I have two distinct pairs of
consecutive congruent sides.
What is a kite?
If the bases of a trapezoid measure 33 and 67 yards,
this is the measure of the midsegment.
What is 50 yards?
Given an isosceles triangle
with a vertex angle measuring 48°,
this is the measure of ONE base angle.
What is 66°?
A quad has three consecutive angles that measure
(4y–12)°, (12x)°, and (3y)°, respectively.
These are the values of x and y that would
prove the quad is a parallelogram.
What are x=12 and y=12?
This is the order of sometimes, always, and never
for the three scenarios below:
1. A square is _______ a rhombus.
2. A parallelogram is _______ a square.
3. A rectangle is _______ a trapezoid.
What is always, sometimes, and never?
My opposite sides are parallel
and all of my sides are congruent,
but I have no right angles.
What is a rhombus?
If the midsegment of a trapezoid measures 24 inches,
and one of the bases measures 13 inches,
then this is the measure of the other base.
What is 35 inches?
Given ∆ABC, where
AB = AC,
m∠B = (3x－9)°, and
m∠C = (2x+10)°,
this is the exact measure of ∠A.
What is 84°?
Given ▱RECT with diagonals that intersect at point A,
if ET = 3x+1, RC = 5x-1, and RA = 4y－10,
then these are the values of x and y that
prove the quadrilateral is a rectangle.
What is x = 1 and y = 3?
This is the order of sometimes, always, and never
for the three scenarios below:
1. A rectangle is _______ a rhombus.
2. A square is _______ a parallelogram.
3. A trapezoid is _______ an isosceles triangle.
What is sometimes, always, and never?
I have congruent opposite sides,
but my consecutive sides are not congruent.
I also have congruent diagonals.
What is a rectangle?
(5x–4) is an expression that represents
the measure of the third side of a triangle.
(2x) represents the measure of the triangle's midsegment.
This is the exact measure of the midsegment.
What is 8 units?
Given isosceles ∆ABC with vertex ∠A
and an exterior angle adjacent to the vertex angle,
if m∠B = 50°, this is the measure of the exterior angle.
What is 100°?
Given quad RHOM with diagonal segment RO,
if m∠ROH = (5y+1)º and m∠ROM = (6y－7)º,
then this m∠ORM would
prove the quad is a rhombus.
What is 41º?
This is the order of sometimes, always, and never
for the three scenarios below:
1. A rhombus is _______ a rectangle.
2. A square is _______ an isosceles triangle.
3. A rhombus is _______ a parallelogram.
What is sometimes, never, and always?
I have parallel bases that are NOT congruent
and legs that ARE congruent.
I also have congruent diagonals.
What is an isosceles trapezoid?
This is the value for x that proves (4x+12)
is an expression that represents the measure of a midsegment
when the bases of a trapezoid are (3x+5) and (7x+11).
What is 4?
Given ∆ABC with an exterior angle adjacent to ∠A,
if the measure of the exterior angle is (4y+15)°,
m∠B = (2y)°, and m∠C = (3y+2)°,
this is the value of y.
What is 13?
Given ▱PERF with diagonal segment PR,
if m∠PRF = (4y+1)º, PE = 3x－1, and ER = 35,
then these are the values of x and y that
prove the quadrilateral is a square.
What is x = 12 and y = 11?