Geometry

In the triangle shown below, two sides have the same length as indicated by the tick marks. What is the name of this type of triangle?

A shape is shown in the diagram. How many lines of symmetry does this regular pentagon have?

In a scalene triangle, how many sides have the same length?

Look at the diagram of the kite. Which statement about its diagonals is true?

If you add the interior angles of any quadrilateral, the total is always:

Look at the shape. It is a quadrilateral with two pairs of equal-length sides, but the equal sides are adjacent (next to each other). What is it?

A right-angled triangle has one angle of $35^{\circ}$. What is the size of the third angle?

A quadrilateral has angles in the ratio $1:2:3:4$. What is the measurement of the largest angle in this quadrilateral?

A designer is creating a pattern with a regular polygon. If the sum of all the interior angles is $1800^\circ$, how many sides does this polygon have?

A map shows a triangular region where all three sides have different lengths. One angle is $110^\circ$. What two words best describe this triangle?

Identify the 3D shape that has 5 faces, 9 edges, and 6 vertices.

Which of these nets would fold to make a cylinder?

A cone has how many flat faces?

How many faces does a cuboid have?

Identify the 3D shape whose net is shown, which consists of one square and four identical isosceles triangles.

How many more edges does a cuboid have than a square-based pyramid?

A 3D shape has 1 curved surface and 2 flat circular faces. If you were to cut it vertically through the center, what shape would the cross-section be?

If you have two identical square-based pyramids and you glue them together at their square bases, how many faces does the new 3D shape have?

A net is made of one regular pentagon and five isosceles triangles. When this net is folded, how many edges will the resulting 3D shape have?

A polyhedron is formed from a net with 8 faces, all of which are equilateral triangles. How many vertices does this 3D shape have?

How many degrees are in a full circle?

If an angle is $10^{\circ}$ less than a right angle, what is its measure?

What is the measure of the angle indicated by the arrow?

When measuring an angle that opens to the left, which scale on the protractor should you typically use if the zero is on the outer rim?

Look at the triangle. If the two base angles are $50^{\circ}$ each, what is the top angle?

An angle is measured as $315^{\circ}$. What is the size of the remaining acute angle to complete a full circle?

In the diagram, if Angle A is $45^{\circ}$ and Angle B is $45^{\circ}$, what is the measure of Angle C if they all form a straight line?

Look at the diagram of the protractor measuring an angle. The line passes through the $85^{\circ}$ mark on the inner scale. What would the same line point to on the outer scale?

A designer is creating a logo with a star. One point of the star has an angle of $36^{\circ}$. If she wants to place a line exactly in the middle (bisecting) that angle, what angle should she measure from one of the sides?

An engineer is checking the slope of a ramp. The ramp rises from the ground at an angle. The protractor shows the angle of the ramp is $15^{\circ}$ from the horizontal. What would be the angle from the vertical wall ($90^{\circ}$)?

What is the size of angle $v$ on the straight line?

Two angles make a full turn ($360^\circ$). One angle is $140^\circ$. What is the size of the other angle $q$?

Find the missing angle $m$ if it and $85^\circ$ are on a straight line.

Calculate the missing angle $p$ on the straight line.

Calculate $y$ in the diagram. One angle is a right angle, and the other is $y$. They are on a straight line.

What is the value of $x$ if three angles $x$, $x$, and $x$ are on a straight line?

At a point, there are five angles. Four of them are $60^\circ$ each. What is the size of the fifth angle $p$?

A window frame has three decorative slats meeting at the corner of a rectangular pane (forming a $90^{\circ}$ angle). If the slats divide the $90^{\circ}$ corner such that the second angle is twice the first, and the third angle is $30^{\circ}$, what is the size of the first angle?

A compass needle is being calibrated. It is currently pointing at an angle of $165^{\circ}$ from North (clockwise). If you turn the needle further clockwise to complete a full $360^{\circ}$ rotation, and you stop twice making two equal angles, what is the size of each of those two equal angles?

A metal bracket is bent so that it sits on a flat surface. From the point of contact, two supports extend upwards. The angle between the flat surface and the first support is $38^{\circ}$. The angle between the two supports is $84^{\circ}$. What is the angle between the second support and the flat surface on the other side?

A rectangle is drawn on a coordinate grid. Three of its vertices are located at $(-4, -1)$, $(2, -1)$, and $(2, -3)$. What are the coordinates of the fourth vertex $V$?

In the coordinate grid shown, what are the coordinates of point $A$?

Which coordinate pair represents a point $4$ units below the $x$-axis?

A point is at $(2, -3)$. If it is reflected in the $x$-axis, what are the new coordinates?

If you move from point $A(-2, -2)$ to point $B(3, 3)$, what is the total change in the $x$-coordinate?

A rectangle has vertices at $(-5, 2)$, $(-1, 2)$, $(-1, -1)$, and $(-5, -1)$. What is its perimeter?

Find the coordinates of the point that is halfway between $(2, 4)$ and $(2, -2)$.

A parallelogram has three vertices at $A(-4, -2)$, $B(-1, -2)$, and $C(1, 2)$. What are the coordinates of the fourth vertex $D$?

A circle is centered at the origin $(0, 0)$ and has a radius of $5$ units. Which of the following points lies exactly on the circumference of the circle?

A robot starts at $(2, 2)$ and moves in a pattern. Each step it moves $1$ unit left and $2$ units down. After $3$ steps, what are the robot's coordinates?

How many units has the shape been translated vertically from $M$ to $N$?

Which of these points is the reflection of $(2, 5)$ across the x-axis?

A square has a vertex at $(0, 0)$. It is translated 3 units left and 2 units down. What is the new coordinate of that vertex?

The shape is reflected in the line $L$. If vertex $C$ is on the line $L$, where will its reflection $C'$ be?

Triangle $T$ is translated 4 units to the right and 3 units down to form the image $T'$. If the original vertex $P$ of the triangle was at $(1, 5)$, what are the coordinates of the new vertex $P'$ on triangle $T'$?

If the letter 'L' is reflected in a vertical mirror line, which way will the horizontal foot of the 'L' point in the reflection?

A shape is translated 4 units up and then reflected in the x-axis. If it started at $(1, 2)$, where is it after the translation?

A line segment with endpoints $A(2, 2)$ and $B(2, 5)$ is reflected across the line $y = x$. What are the new coordinates of point $B'$?

A pattern is created by translating a star from $(x, y)$ to $(x+a, y+b)$. If the star at $(2, 3)$ moves to $(5, 1)$, what is the value of the translation $b$ (the change in $y$)?

Shape $S$ is shown on the grid. It is translated 2 units left and 4 units down, then reflected across the y-axis. If the original top-left corner was at $(1, 6)$, where is it now?