Unit 8 Vocab and similar figures

Unit 8 Vocab and similar figures

Vocab

• Adjacent angles – two non-overlapping angles that share a common vertex and exactly one ray

  Angle – two rays with a common end point (the vertex)

  Angle-angle criterion for triangles – if two angles in one triangle are congruent to two angles in another triangle, then the measures of the third angle in both triangles are congruent

  Axes – the vertical and horizontal lines that act as a reference when plotting points on a coordinate plane

  Complementary angles – two angles whose degree measures have a sum of 90

vocab cont...

Congruent angles – angles whose angle measurements are equal

Coordinate plane (coordinate grid) – a two-dimensional plane on which to plot points, lines, and curves

Counting (natural) numbers – the set of positive numbers that begins at one and increases by increments of one each time {1, 2, 3, …, n}

Degree – the measure of an angle where each degree represents  of a circle

Exterior angles of a triangle – angles that are outside of a triangle between one side of a triangle and the extension of the adjacent side

Vocab Cont...

Hypotenuse – the longest side of a right triangle, the side opposite the right angle

Integers – the set of counting (natural numbers), their opposites, and zero {–n, …, –3, –2, –1, 0, 1, 2, 3, ..., n}. The set of integers is denoted by the symbol Z.

Interior angles of a triangle – angles that are inside of a triangle, formed by two sides of the triangle

Intersecting lines – lines that meet or cross at a point

Irrational numbers – the set of numbers that cannot be expressed as a fraction , where a and b are integers and b ≠ 0

Vocab Cont...

Legs of a right triangle – the two shortest sides of a right triangle

Order numbers – to arrange a set of numbers based on their numerical value

Origin – the starting point in locating points on a coordinate plane

Parallel lines – lines that lie in the same plane, never intersect, and are always the same distance apart

Place value – the value of a digit as determined by its location in a number such as ones, tens, hundreds, one thousands, ten thousands, etc.

Vocab Cont...

Quadrants – any of the four areas created by dividing a plane with an x-axis and y-axis

Rational numbers – the set of numbers that can be expressed as a fraction , where a and b are integers and b ≠ 0. The set of rational numbers is denoted by the symbol Q.

Real numbers – the set of rational and irrational numbers. The set of real numbers is denoted by the symbol.

Right triangle – a triangle with one right angle (exactly 90°) and two acute angles

Square root – a factor of a number that, when squared, equals the original number

Vocab Cont...

Supplementary angles – two angles whose degree measures have a sum of 180°

Transversal – a line that intersects two or more lines

Triangle – a polygon with three sides and three vertices

Vertical angles – a pair of non-adjacent, non-overlapping angles formed by two intersecting lines creating angles that are opposite and congruent to each other

Whole numbers – the set of counting (natural) numbers and zero {0, 1, 2, 3, ..., n}

Multiple Choice

Two objects that are the same shape but not the same size are _______.

• Congruent
• Vertical
• Similar
• Complementary 

Multiple Choice

All angles in similar figures are congruent.  

• True
• False

Multiple Choice

Solve the proportion.
____ = ____

• p=31.3
• p=308
• p=924
• p=532

Multiple Choice

Tell whether the two figures are similar. Explain your reasoning. (Hint: are they proportional?)

• Yes, similar because they are the same shape and side lengths are proportional.
• No, not similar because they are the same shape, but side lengths are not proportional.
• Yes, same shape
• No, different sizes

Multiple Choice

Sides in similar figures must be proportional.  

• True
• False 

Multiple Choice

Are the following similar? Why or why not?

• Yes
• No, the corresponding angles are not equal.
• No, the ratios of the corresponding sides are not equal.

Multiple Choice

All angles in similar figures are congruent.  

• True
• False

Multiple Choice

Find the perimeter of the large triangle. (First find the missing side length)

• 24

• 36

• 12

• 54

Multiple Choice

Two objects that are the same shape but not the same size are _______.

• Congruent
• Vertical
• Similar
• Complementary 

Multiple Choice

Using a proportion, find the height of the tree.

• x = 0.0625 ft.
• 16 ft
• x = 16 ft.