Angles and Lines
Triangles
Classifying Shapes
Problem-Solving
Symmetry
100
Identify the angles that are created in the drawing below.
right angles.
100
Samantha finds a right triangle on an art project completed by her brother. Which of the following statements about her brother's right triangle must be true?
a. All of the sides are the same length.
b. It has one right angle.
c. All of the angles are obtuse.
d. All of its angles are acute.
b. It has one right angle.
100
A family wants to create a unique clubhouse in their backyard. The clubhouse they want to create is a familiar shape. The shape has only obtuse angles and has exactly 3 sets of parallel line segments. Which shape could be the shape for their clubhouse?
A hexagon.
100
Looking at the road map below, which statement is true about some of the streets?
a. Mundy Street and Shaffer Street are parallel.
b. Pitzer Street and Workinger Street are perpendicular.
c. Mundy Street and Pitzer Street are parallel.
d. Shaffer Street and Pitzer Street are perpendicular.
b. Pitzer Street and Workinger Street are perpendicular.
100
Which letter only has one line of symmetry?
The letter A.
200
What is the measure of the angle shown?
Acceptable answers from 66-69 degrees.
200
Connor drew four different triangles. Which triangle has perpendicular sides?
Triangle D.
200
The top of a container has exactly one pair of parallel sides. Which figure could be the shape of the top of the container?
Figure 1 - A trapezoid only has one pair of parallel sides.
200
Three ropes hold up a tent pole.
The angle between rope SR and rope ST is 45 degrees. The angle between rope SR and SP is 80 degrees. What is the measure of the angle between rope ST and rope SP?
35 degrees.
200
Samuel has a shape which folds along a line of symmetry that is perpendicular to one side of the shape. Which figure could be Samuel's shape with its line of symmetry?
C - Trapezoid
300
How many acute angles does this triangle have?
3 acute angles
300
Which triangle below is a right triangle? Justify your answer.
Triangle 1 because it contains one right angle.
300
Which figure or figures below have at least one pair of perpendicular sides?
Figure 2 - Right Triangle
Figure 3 - Rectangle or Square
300
Hannah's bedroom door is open. The measure of the opening from the wall is angle B.
Which expression will help you find the measure of angle A?
a. 180 - 110 = A b. 180 - 70 = A
c. 180 - 90 - A d. 120 - 90 = A
a. 180 - 110 = A
300
John took a picture of this geometric drawing. Draw his figure below, then draw two lines of symmetry that are perpendicular to each other.
400
A couple friends were drawing on a piece of paper during art class. One of the friends noticed that she had drawn examples of types of lines that she had learned about in math class. Which of the following statements is NOT true about her drawing?
a. Lines A and C are parallel.
b. Lines A and B are perpendicular.
c. Lines A and D intersect.
d. Lines B and C are not perpendicular.
D. Lines B and C are not perpendicular
400
Name which triangle is an acute triangle below. Justify your answer.
Triangle 2 because it contains all acute angles.
400
Mrs. Greene showed this shape to her art class and asked them to describe the attributes of the shape. Which of the following statements correctly describes this shape?
a. polygon with 6 edges, 5 vertices and 2 pairs of parallel sides.
b. hexagon with 6 edges, 6 vertices and 1 pair of parallel sides.
c. pentagon with 5 edges, 5 vertices and 2 pairs of parallel sides.
d. hexagon with 6 edges, 6 vertices and 2 right angles.
d. hexagon with 6 edges, 6 vertices and 2 right angles.
400
Adeline draws two adjacent angles. The measure of the smaller angle is 26 degrees. Both angles together make a right angle. What is the measure of the larger angle?
64 degrees.
400
Explain how someone could know that the line on this figure is a line of symmetry.
A line of symmetry divides a shape in half, so that when folded on the line of symmetry both sides match.
500
George has a band lesson at 2:00 every day. At 2:00, the hands of the clock form a 60 degree angle. What is the measure of the angle formed by the clock hands at 4:00?
Each hour adds 30 degrees, so a 4:00 angle would be 120 degrees.
500
Classify triangle #3 below.
Some examples:
Obtuse triangle because it has one obtuse angle.
or
Scalene triangle because all of the sides are different lengths.
500
Mrs. Shaffer was playing a game of Rule Identity with her math class. She told them that the shapes in the first row had an attribute that the shapes in the second row did not have. To win the game, the students had to guess what Mrs. Shaffer's rule was.
First row: (These shapes belong.)
Second row: (These shapes do not belong.)
a. The shape is a quadrilateral.
b. The shape has two sets of parallel sides.
c. The shape must have all right angles.
d. The shape does not have any perpendicular sides.
a. The shape is a quadrilateral.
500
Draw and label ray BD so that it cuts angle ABC into two smaller angles. If angle DBC measuring 64 degrees. What is the measure of angle ABD?
51 degrees.
500
Aiden has game pieces in his bedroom. The tops of the game pieces are shown below. Which figure has exactly two lines of symmetry?
Figure 4 has exactly 2 lines of symmetry.