Understanding Properties of Shapes

Shapes & Angles

Assessment review for 8-2, 8-3, and 8-4.

This figure might be helpful when deciding all the names for a figure. Start at the bottom and work your way up. For example, a square can be anything it is linked to, so it can also be classified as a parallelogram.

Multiple Choice

True or False: A trapezoid is a parallelogram.

• True

• False

Multiple Choice

True or False: A rhombus is NOT a parallelogram.

• True

• False

Multiple Choice

True or False: A rectangle is a special kind of parallelogram that has four right angles and its opposite side lengths are congruent.

• True

• False

Multiple Choice

Clue: This quadrilateral is a parallelogram with four congruent sides.

• Rhombus

• Kite

Multiple Choice

Clue: This quadrilateral is a parallelogram with four right angles.

• Rectangle

• Rhombus

• Kite

• Trapezoid

Multiple Choice

Shapes that are the same shape and the same size are ________.

• similar
• unique
• congruent
• corresponding

Multiple Choice

Clue: This quadrilateral has exactly one pair of parallel sides.

• Trapezoid

• Parallelogram

• Square

• Kite

Multiple Choice

Clue: This is a quadrilateral with opposite sides that are parallel and congruent.

• Trapezoid

• Parallelogram

• Kite

Multiple Choice

Clue: This quadrilateral is a parallelogram with congruent sides and four right angles.

• Rectangle

• Square

Multiple Choice

Check all that apply.

• Rhombus

• Trapezoid

• Kite

• Parallelogram

Multiple Choice

Clue: This quadrilateral has two pairs of congruent adjacent sides and opposite sides that are not congruent.

• Parallelogram

• Kite

Multiple Choice

What shape is this?

• Square
• Kite
• Trapezoid
• Rhombus

Multiple Choice

Which of the following properties is true about parallelograms?

• Base angles are congruent.
• Diagonals are congruent.
• Opposite sides are parallel.

Multiple Choice

If a quadrilateral has 4 equal sides, then it is a square.

• TRUE

• FALSE

Multiple Choice

Which of the following properties is true about kites?

• Opposite sides are parallel.
• Exactly one pair of opposite angles are congruent.
• Consecutive angles are supplementary.

Multiple Choice

Does a triangle with these side lengths exist?

20 cm, 10 cm, 9 cm

• Yes

• No

Multiple Choice

How many triangles exist with the given angle measures?  60°, 60°, 60°

• No triangle exists
• Exactly one unique triangle exists
• More than one triangle exists

Multiple Choice

Given three angle measures, how many triangles can you create?

• One unique triangle

• Multiple triangles

• No triangles

Multiple Choice

How many triangles can be created with the side lengths of 3 cm, 4cm, and 5 cm?

• Only 1 unique triangle

• multiple triangles

• no triangles

Multiple Choice

How many triangles can you make when given three side lengths?

• One Unique Triangle

• No Triangle

• More Than One Unique Triangle

Multiple Choice

How many triangles can you make when given three angle measurements?

• One Unique Triangle

• No Triangle

• More Than One Unique Triangle

Multiple Choice

How many triangles can you make when given two sides and an included angle?

• One Unique Triangle

• No Triangle

• More Than One Unique Triangle

Multiple Choice

How many triangles can you make when given two sides and a nonincluded angle?

• One Unique Triangle

• No Triangle

• More Than One Unique Triangle

Multiple Choice

How many triangles can you make when given two angles and an included side?

• One Unique Triangle

• No Triangle

• More Than One Unique Triangle

Multiple Choice

How many unique triangles can be drawn with side lengths 12 cm and 16 cm and a  $$50\degree$$  included angle?

• 0

• 1

• 2

• an infinite number

Multiple Choice

How many triangles exist with the given angle measures? 55°, 45°, 90°

• No triangle exists

• Exactly one unique triangle exists

• More than one triangle exists

Multiple Choice

A student is trying to construct triangles using four different sets of angles. The angles in each set are given below. Which set will form a triangle?

• 45°, 65°, 70°

• 150°, 110°, 100°

• 50°, 50°, 50°

• 90°, 90°, 90°