Outcome F Quadrilaterals Flash Card Review

Question 1 What is the sum of the interior angles of a hexagon? Hint: how many sides does a hexagon have?

Answer 1 What is the sum of the interior angles of a hexagon? Hexagon has 6 sides. n = 6 Hint: how many sides does a hexagon have?

Question 2 What is the sum of the exterior angles of a hexagon? Hint: how many sides does a hexagon have?

Answer 2 What is the sum of the exterior angles of a hexagon? The sum of the exterior angles of any polygon is 360° Number of sides Used to find the measure of 1 ext. angle Measure of 1 ext. angle Hint: how many sides does a hexagon have?

Question 3 Find the measure of one exterior and one interior angle of a regular decagon. Hint: how many sides does a decagon have?

Answer 3 Find the measure of one exterior and one interior angle of a regular decagon.

Question 4

Answer 4

Question 5 Determine if the following figure is a parallelogram. Hint: Tests for Parallelograms

Answer 5 Determine if the following figure is a parallelogram. Yes, a pair of opposite sides are both congruent AND parallel. Hint: Tests for Parallelograms

Question 6 Determine if the following figure is a parallelogram. Hint: Tests for Parallelograms

Answer 6 Determine if the following figure is a parallelogram. No, only have one pair of parallel lines and another pair of congruent sides. Hint: Tests for Parallelograms

Question 7 Determine if the following figure is a parallelogram. 120° Hint: Tests for Parallelograms

Answer 7 Determine if the following figure is a parallelogram. 120° No, only given on pair of congruent sides and one interior angle measure. Not given enough information Hint: Tests for Parallelograms

Question 8 What are the four ways to prove that quadrilaterals are parallelograms on a coordinate plane? Hint: Tests for Parallelograms

Answer 8 What are the four ways to prove that quadrilaterals are parallelograms on a coordinate plane? Slope Formula: both pairs of opposite sides have to be PARALLEL Distance Formula: Both pairs of opposite sides have to be CONGRUENT Midpoint Formula: DIAGONALS need to intersect at the same MIDPOINT Distance & Slope Formula: One pair of opposite sides has to be PARALLEL and CONGRUENT Hint: Tests for Parallelograms

Question 9 A B C D E 35° 37° Hint: Consecutive angles of a parallelogram are supplementary

Answer 9 A B C D E 35° 37° 180 – (37 + 35) = 108 Hint: Consecutive angles of a parallelogram are supplementary

Question 10 Find the length of DB if AM = 2x + 1 and DM = 5x – 5 in rectangle ABCD M D C B A

Answer 10 Find the length of DB if AM = 2x + 1 and DM = 5x – 5 in rectangle ABCD 2x + 1 = 5x – 5 6 = 3x 2 = x DM = 5(2) – 5 DM = 5 DB = 5(2) = 10 M D C B A

Question 11 M A T R S

Answer 11 4x + 5 + 9x + 20 = 90 13x + 25 = 90 13x = 65 x = 13 M A T R

Question 12 Given the m∠CAB = 30° and BC = 17 in rectangle ABCD, find AB. M D C B A Hint: Special Right Triangles

Answer 12 Given the m∠CAB = 30° and BC = 17 in rectangle ABCD, find AB. M D C B A C A B 30° 17

Question 13 If TA =16 in square TEAM, find MA. Hint: Special Right Triangles

Answer 13 If TA =16 in square TEAM, find MA. Hint: Special Right Triangles

Question 14 Solve for x and y. Find the most descriptive name for parallelogram UVWX.

Square: diagonals are congruent and all 4 sides are congruent. Answer 14 Solve for x and y. Find the most descriptive name for parallelogram UVWX. 4x + 1 = 2x + 5 2x = 4 x = 2 5y + 4 = 3y + 6 2y = 2 y = 1 UV = 9 WX = 9 UX = 9 VW = 9 Square: diagonals are congruent and all 4 sides are congruent.

Question 15 In rhombus ABCD, find BD if AB = 5 and AC = 8 A D B C E

Answer 15 In rhombus ABCD, find BD if AB = 5 and AC = 8 A 5 4 3 E B D

Question 16 A D B C E

Answer 16

Question 17 Determine whether the figure with vertices A(8, -1), B(6, 5), C(-7, 2), D(-5, -4) is a parallelogram.

Answer 17 Determine whether the figure with vertices A(8, -1), B(6, 5), C(-7, 2), D(-5, -4) is a parallelogram.

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

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