Lines and Angles
Draw a pair of parallel lines. What is special about parallel lines?
Parallel lines are two straight lines that never cross.
(like railroad tracks)
How many lines of symmetry does a rectangle have?
A rectangle has 2 lines of symmetry.
You can cut it in the center vertically and horizontally.
Which statement is true about right triangles?
A. Right triangles have three congruent sides.
B. Right triangles have one ninety-degree angle.
C. Right triangles have three acute angles.
B. Right triangles have one ninety-degree angle.
How many sets of parallel sides does a parallelogram have?
*Hint - draw it so you can see
2 sets of parallel sides
(looks like a rectangle, but doesn't have 90 degree angles)
Name two polygons that have an odd number of sides.
Triangle and Pentagon
1. Which type of angle measure exactly 180 degrees?
2. Draw a straight line. Divide that line into 3 angles. One angle measures 50. One angle measures 75. What is the measurement of the missing angle?
1. A straight angle
(looks likes a straight line)
2. 55 degrees
180 - 50 - 75 = 55
What do you call a shape that does not have any lines of symmetry?
asymmetrical
Draw a Right Isosceles Triangle. What are the characteristics of this triangle?
This triangle has one right angle and two equal sides.
Can a rectangle also be a square?
*Hint - draw it so you can see
No, a rectangle can not be a square because a square has to have 4 congruent sides. A rectangle has only two pairs of congruent sides.
Name a polygon that can NEVER have a pair of parallel sides.
Triangle or Pentagon
Draw perpendicular lines. What type of angles do perpendicular lines have?
*Be able to identify perpendicular lines in a figure.
Perpendicular lines intersect at 90-degree angles.
It looks like a T or a cross
How many lines of symmetry does a circle have?
A circle has an infinite number of lines of symmetry
Draw an Obtuse Scalene Triangle. What are the characteristics of this triangle?
This triangle has one obtuse angle, two acute angles, and no equal sides.
What shape has 4 right angles and 4 congruent sides?
*Hint - draw it so you can see
A square has 4 right angles and 4 congruent sides.
Which shape is NOT a polygon
A. Triangle
B. Circle
C. Rhombus
D. Pentagon
Circle
It has no line segments.
Polygons are made of line segments.
1. What type of line has one endpoint and extends forever in the other direction?
2. What is part of a line called?
Hint: it has a start and a stop
1. Ray
2. Line Segment
Draw an arrow on your paper, like this: -->
Be able to identify a FLIP (flip your arrow)
Be able to identify a TURN (turn your arrow)
Be able to identify a SLIDE (slide your arrow)
Flips look backwards (like looking at words in a mirror or flipping a pancake) --> <--
Turns are rotations (your arrow is now pointing up or down)
Slides are just slid over to the side --> -->
Draw an Acute Isosceles Triangle. What are the characteristics of this triangle?
This triangle has 3 acute angles and two equal sides.
What are the attributes of a quadrilateral?
Give an example of a quadrilateral
4 sided, 2-D shape, made up of line segments
*Examples to know: rectangle, square, trapezoid, parallelogram, rhombus
Which polygon has the fewest vertices?
Hint: vertices are corners; where the angles are located
A triangle
Triangles have 3 sides and 3 vertices (corners).
A polygon must have at least 3 sides. If it only had 2 sides, it wouldn't connect.
Angle ABC is a right angle. Mary splits that angle into two parts. One part measures 30 degrees. What is the measurement of the other part?
Hint: draw a right angle, split it into 2 parts with a line. Label one part 30 degrees. Solve for the missing part.
60 degrees.
90 - 30 = 60
Describe the difference between CONGRUENT and SIMILAR
Congruent means EQUAL; same shape and same size (It can be turned or flipped, but that doesn't change the shape or the size)
Similar means same shape but different size (like a King size candy bar and Regular size candy bar)
Which type of triangle could have one angle that measures 15 degrees, another angle that measures 60 degrees, and a third angle that measures 105 degrees?
Obtuse Triangle
Obtuse triangles have one obtuse angle.
Draw a square. Name four characteristics of a square.
1. Four equal/congruent sides.
2. Four right angles.
3. Two pairs of parallel sides.
4. Four lines of symmetry.
Look at a picture of a stop sign.
It is an octagon (8 sides).
What type of angles are in an octagon?
Obtuse (greater than 90 degrees)