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Trapezoids Practice
Problems 1 - 5 refer to the image below
Practice Problem #1
ABCD is an isosceles trapezoid.
Segment AB is one base of trapezoid ABDC. What is the other base?
Answer: CD
Practice Problem #2
ABCD is an isosceles trapezoid.
One of the base angles of ABDC is angle C. What is the other base angle?
Answer: Angle D
Practice Problem #3
ABCD is an isosceles trapezoid.
Angle ___ and angle C are consecutive angles.
Answer: Angle A
Practice Problem #4
ABCD is an isosceles trapezoid.
Angles D and ___ are supplementary.
Answer: Angle B
Practice Problem #5
ABCD is an isosceles trapezoid.
What line represents the midsegment of ABDC?
Answer: The line going through the middle
Practice Problem #6
Find the missing angle measures.
Remember, the consecutive angles in a trapezoid are supplementary.
Which angle is consecutive to ∠D? ∠___
Answer: ∠A
What about ∠B? ∠___
Answer: ∠C
Ok, let's solve for A first. Since A and D form a consecutive angle pair, they are supplementary. So,
∠A + ∠D = ___°
Answer: 180°
Substitute in the measure of ∠D.
∠A + ___° = 180°
Answer: 90°
Isolate the unknown value to solve.
∠A = ___°
Answer: 90°
Great! Now, let's solve for C. Since B and C form a consecutive angle pair, they are supplementary. So, ∠B + ∠C = 180°
Substitute in the measure of ∠B.
___° + ∠C = 180°
Answer: 132°
Isolate the unknown value to solve.
∠C = ___°
Answer: 48°
Practice Problem #7
Find the missing angle measures.
Remember, the consecutive angles in a trapezoid are supplementary.
Which angle is consecutive to ∠D?
Answer: ∠A
Which angle is consecutive to ∠C?
Answer: ∠B
Ok, let's solve for A first. Since A and D form a consecutive angle pair, they are supplementary. So,
∠A + ∠D = ___°
Answer: 180°
Substitute in the measure of ∠D.
∠A + ___° = 180°
Answer: 90°
Isolate the unknown value to solve.
∠A = ___°
Answer: 90°
Great! Now, let's solve for B. Since B and C form a consecutive angle pair, they are supplemntary. So:
∠B + ∠C = 180°
Substitute in the measure of C.
∠B + ___° = 180°
Answer: 112°
Isolate the unknown value to solve.
∠B = ___°
Answer: 68°
Practice Problem #8
Find the length of segment RT.
Ok, so this is a midsegment problem. Remember,
Start by entering your known values.
Answer: 12
Simplify the numerator.
Answer: 21
Simplify to solve. Put your answer in decimal format.
RT = ___
Answer: 10.5
Practice Problem #9
Find the length of segment PQ.
Even though you are not solving for the midsegment, you can still use the relationship between the midsegment and the bases to find the missing length.
Start by entering your known values.
Answer: 16, 20
Multiply both sides by 2 to eliminate the fraction.
___ = ___
Answer: 32, x + 20
Isolate the x to solve.
___ = x
Answer: 12