Geometry (PARALLELOGRAMS: RHOMBUS)

A rhombus is ____________ a parallelogram

always

A square is ______________ a rhombus.

always

https://internationalvla.sooschools.com/media/g_geo_ccss_2016/4/page88b.gif AB=

AB = DC

In a rhombus, which of the following are always equal? Select all that apply.

opposite angles opposite sides

Which of the following are always classified as a trapezoid? Select all that apply.

parallelograms rectangles rhombuses squares

Which of the following best describe(s) the diagonals of a rectangle. Select all that apply

perpendicular parallel

Match the vocabulary word with the correct definition.

1. rectangle 2. rhombus 3. square 4. trapezoid 1. A parallelogram with four right angles 2. A parallelogram with all sides equal 3. A rectangle with all sides equal and four right angles 4. A quadrilateral with at least one pair of parallel sides

Refer to the figures above to answer this question If <GHI = 120°, then <GJI = <

<30

rhombus

A parallelogram with all sides equal

rectangle

A parallelogram with four right angles.

trapezoid

A quadrilateral with at least one pair of parallel sides.

square

A rectangle with all sides equal and four right angles.

Which of the following statements is true?

All parallelograms are trapezoids.

Prove: The quadrilateral formed by joining in order the midpoints of the sides of a rectangle is a parallelogram. https://internationalvla.sooschools.com/media/g_geo_ccss_2016/4/page87b.gif Given: ABCD is rectangle K, L, M, N are midpoints Prove: KLMN is a parallelogram https://internationalvla.sooschools.com/media/g_geo_ccss_2016/4/page87c.gif Which of the following reasons would complete the proof in line 6?

If a pair of opposite sides of a quadrilateral are parallel and equal, then it is a parallelogram.

Which of the following characteristics of a parallelogram leads to the conclusion that every square can always be classified as a parallelogram? Select all that apply.

four equal sides two pair of opposite equal angles two pair of opposite parallel sides

Using the figure above answer the following question If GI = 20, <H = 100°, then HJ ___ 20.

greater than (>)

Which of the following quadrilaterals are always parallelograms? Select all that apply.

square rhombus rectangle

https://internationalvla.sooschools.com/media/g_geo_ccss_2016/4/page88b.gif GI ┴

┴ HI

Every square is ______________ a rectangle.

sometimes

A parallelogram is __________ a rhombus.

sometimes

Prove: If the four sides of a quadrilateral are equal, the quadrilateral is a rhombus. https://internationalvla.sooschools.com/media/g_geo_ccss_2016/4/page86c.gif Given: AB = BC = CD = DA Prove: ABCD is rhombus https://internationalvla.sooschools.com/media/g_geo_ccss_2016/4/page87a.gif Which of the following reasons completes the proof in line 2?

All quadrilaterals are parallelograms.

The diagonals of a rhombus are __________ perpendicular.

always