Midterm Review Geo

Liam and Lily are on a geometry adventure! Which of the following questions must they answer to determine if a quadrilateral is a trapezoid?

• How many obtuse angles does the quadrilateral have?

• How many right angles does the quadrilateral have?

• How many congruent sides does the quadrilateral have?

• How many pairs of parallel sides does the quadrilateral have?

Question 2

• A
• B
• C
• D

Ethan and Anika are exploring a mysterious island, island RSTU, shaped like a parallelogram. Which angle pair do they discover to be congruent?

• A) ∠R is congruent to ∠T

• B) ∠R is congruent to ∠U

• C) ∠S is congruent to ∠T

• D) ∠U is congruent to ∠T

In rectangle ABCD, if Mason says AC = 4x - 39 and Luna claims BD = x + 12, then what is the value of AC?

• 17

• 21

• 26

• 29

In parallelogram RSTU, the diagonals intersect at E. If RE = 10 and SU = 16, then RT = ________. Can Abigail, Ethan, or Luna solve this puzzle?

• A. 20

• B. 18

• C. 16

• D. 6

Question 6

• A
• B
• C
• D

During a geometry class, Daniel and Abigail are debating about isosceles trapezoids. Which statement is true about an isosceles trapezoid?

• Diagonals bisect the angles.

• Diagonals are perpendicular.

• Diagonals are equal in length.

• Diagonals bisect each other.

Question 8

• A
• B
• C
• D

Question 9

• A
• B
• C
• D

During a geometry treasure hunt, David and Grace stumbled upon a mysterious shape. It had exactly one pair of parallel sides. What could this shape be?

• rhombus

• rectangle

• square

• trapezoid