outcome f quadrilaterals flash card review. question 1 what is the sum of the interior angles of a...
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Outcome F QuadrilateralsFlash Card Review
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Question 1
What is the sum of the interior angles of a hexagon?
Hint: how many sides does a hexagon have?
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Answer 1
What is the sum of the interior angles of a hexagon?
Hint: how many sides does a hexagon have?
• Hexagon has 6 sides. • n = 6
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Question 2
What is the sum of the exterior angles of a hexagon?
Hint: how many sides does a hexagon have?
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Answer 2
What is the sum of the exterior angles of a hexagon?
Hint: how many sides does a hexagon have?
The sum of the exterior angles of any polygon is 360°
Used to find the measure of 1 ext. angle
Measure of 1 ext. angle
Number of sides
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Question 3
Find the measure of one exterior and one interior angle of a regular decagon.
Hint: how many sides does a decagon have?
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Answer 3
Find the measure of one exterior and one interior angle of a regular decagon.
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Question 4
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Answer 4
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Question 5
Determine if the following figure is a parallelogram.
Hint: Tests for Parallelograms
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Answer 5
Determine if the following figure is a parallelogram.
Hint: Tests for Parallelograms
Yes, a pair of opposite sides are both congruent AND parallel.
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Question 6
Determine if the following figure is a parallelogram.
Hint: Tests for Parallelograms
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Answer 6
Determine if the following figure is a parallelogram.
Hint: Tests for Parallelograms
No, only have one pair of parallel lines and another pair of congruent sides.
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Question 7
Determine if the following figure is a parallelogram.
Hint: Tests for Parallelograms
120°
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Answer 7
Determine if the following figure is a parallelogram.
Hint: Tests for Parallelograms
120°
No, only given on pair of congruent sides and one interior angle measure. Not given enough information
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Question 8
What are the four ways to prove that quadrilaterals are parallelograms on a coordinate plane?
Hint: Tests for Parallelograms
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Answer 8
What are the four ways to prove that quadrilaterals are parallelograms on a coordinate plane?
Hint: Tests for Parallelograms
1. Slope Formula: both pairs of opposite sides have to be PARALLEL
2. Distance Formula: Both pairs of opposite sides have to be CONGRUENT
3. Midpoint Formula: DIAGONALS need to intersect at the same MIDPOINT
4. Distance & Slope Formula: One pair of opposite sides has to be PARALLEL and CONGRUENT
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Question 9
A B
CD
E
35°37°
Hint: Consecutive angles of a parallelogram are supplementary
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Answer 9
A B
CD
E
35°37°
Hint: Consecutive angles of a parallelogram are supplementary
180 – (37 + 35) = 108
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Question 10
Find the length of DB if AM = 2x + 1 and DM = 5x – 5 in rectangle ABCD
M
D C
BA
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Answer 10
M
D C
BA2x + 1 = 5x – 5
6 = 3x2 = x
DM = 5(2) – 5DM = 5
DB = 5(2) = 10
Find the length of DB if AM = 2x + 1 and DM = 5x – 5 in rectangle ABCD
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Question 11
M A
T R
S
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Answer 11
M A
T R
S
4x + 5 + 9x + 20 = 9013x + 25 = 90
13x = 65x = 13
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Question 12
M
D C
BA
Given the m CAB = ∠ 30° and BC = 17 in rectangle ABCD, find AB.
Hint: Special Right Triangles
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Answer 12
M
D C
BA
Given the m CAB = ∠ 30° and BC = 17 in rectangle ABCD, find AB.
C
A B30°
17
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Question 13
T E
A M
If TA =16 in square TEAM, find MA.
Hint: Special Right Triangles
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Answer 13
T E
A M
If TA =16 in square TEAM, find MA.
Hint: Special Right Triangles
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Question 14
Solve for x and y. Find the most descriptive name for parallelogram UVWX.
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Answer 14
Solve for x and y. Find the most descriptive name for parallelogram UVWX.
4x + 1 = 2x + 52x = 4x = 2
5y + 4 = 3y + 62y = 2y = 1
UV = 9 WX = 9UX = 9 VW = 9
Square: diagonals are congruent and all 4 sides are
congruent.
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Question 15
A
DB
C
E
In rhombus ABCD, find BD if AB = 5 and AC = 8
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Answer 15
In rhombus ABCD, find BD if AB = 5 and AC = 8
A
DB
C
E
54
4
3 3
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Question 16
A
DB
C
E
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Answer 16
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Question 17
Determine whether the figure with vertices A(8, -1), B(6, 5), C(-7, 2), D(-5, -4) is a parallelogram.
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Answer 17
Determine whether the figure with vertices A(8, -1), B(6, 5), C(-7, 2), D(-5, -4) is a parallelogram.
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Question 18
Determine whether the parallelogram with vertices A(1, 3), B(-3, 1), C(-1, -3), and D(3, -1) is a rectangle, a rhombus, a square or none of these. List all that apply
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Answer 18
Determine whether the parallelogram with vertices A(1, 3), B(-3, 1), C(-1, -3), and D(3, -1) is a rectangle, a rhombus, a square or none of these. List all that apply
Square