Geometry

Identify the 2D shape shown in the diagram. This shape has 4 equal sides and 4 right angles.

How many edges does a triangular pyramid have?

Which 2D shape has no straight sides and no vertices?

What 3D shape is formed by the net shown in the diagram?

A 3D shape, like the one shown in the diagram, has 6 faces, 12 edges, and 8 vertices. If all its faces are congruent squares, what is the specific name of this shape?

An octagon is a polygon. How many diagonals can be drawn from a single vertex of a regular octagon?

Which statement about the angles of an equilateral triangle is true?

A museum display case is shaped like a 3D solid that has exactly 5 faces. The base of the case is a quadrilateral. All other faces meet at a single point at the top. The museum director wants to place a label on the case describing its properties. Which of the following correctly describes the number of edges and vertices this shape has?

An architect is designing a small garden ornament. The base of the ornament is a 2D shape with two pairs of parallel sides, all four sides equal in length, but no right angles. Looking from the side, the ornament appears as a 3D prism with two such bases connected by four rectangular faces. Which pair of names correctly classifies the 2D base and the 3D ornament?

A tile is in the shape of a kite. Which of the following statements about its diagonals is always true?

Which of the following describes a right angle?

If you open a pair of scissors very wide as shown, what type of angle is formed?

A student draws a triangle with one angle equal to $90^\circ$. What is this triangle called?

Which of these angles is an obtuse angle?

The minute hand of a clock moves from the 12 to the 4. What type of angle has it turned through?

Look at the roof of the house. If the angle at the top is $120^\circ$, what type of angle is it?

How many right angles are there in a standard sheet of paper?

On a compass, the direction North is $0^{\circ}$ and East is $90^{\circ}$. If a hiker travels in a direction that is exactly halfway between North and East ($45^{\circ}$), what type of angle has the hiker turned from North?

A mountain climber is ascending a slope. The slope makes a $25^{\circ}$ angle with the horizontal ground. What type of angle is this?

A solar panel is tilted at an angle of $90^{\circ}$ to its base to capture the maximum morning sun. Later, it is adjusted to $110^{\circ}$. By what name do we call the new angle formed with the base?

How many lines of symmetry are in the letter 'T'?

A line of symmetry is also called a ______ line.

How many lines of symmetry does a heart shape usually have?

Does the equilateral triangle below have more than one line of symmetry?

A rectangle is drawn below with several lines passing through it. How many of these lines ($L1, L2, L3,$ or $L4$) are lines of symmetry for the rectangle?

How many lines of symmetry are in a right-angled isosceles triangle?

Which digit has both a vertical and a horizontal line of symmetry?

An artist creates a pattern using a large square and four small circles, one centered exactly at each vertex of the square. How many lines of symmetry does this entire composite figure have?

A circle is drawn on a coordinate plane with its center at the origin $(0,0)$. How many lines of symmetry does a circle have that pass through the center point?

A kite-shaped kite (the geometric figure 'kite') has two pairs of equal adjacent sides. One pair of sides is $10\text{ cm}$ and the other is $20\text{ cm}$. If the angles between unequal sides are $90^{\circ}$, how many lines of symmetry does the kite have?

Look at the diagram. What is the $x$-coordinate of point $M$?

Which coordinate represents the origin?

On a map, the school is at $(4, 4)$ and the park is at $(4, 1)$. How many units apart are they?

A point is at $(3, 5)$. If you move $3$ units down, what are the new coordinates?

Which point is closer to the origin $(0, 0)$?

A path goes from $(1, 1)$ to $(1, 4)$ then to $(4, 4)$. What is the total length of the path in units?

If point $(a, b)$ is in the center of the grid shown, what are the values of $a$ and $b$?

A square has a perimeter of 12 units. If one vertex is at $(2, 2)$ and the square lies entirely in the first quadrant with sides parallel to the axes, which of the following could be another vertex?

A map has a grid with 1 unit representing 10 km. A car travels from $(1, 1)$ to $(1, 5)$ and then to $(4, 5)$. What is the total distance traveled by the car in kilometers?

A line segment connects points $A(2, 8)$ and $B(2, 2)$. A second line segment connects $C(1, 5)$ and $D(5, 5)$. At what coordinate do these two lines intersect?