4th Grade Math Diagnostic Test — Units 11–12

Geometry, Plane Figures, Symmetry & Angle Measurement. Limit: 60 Minutes.

Question 1

Ray Definition

A part of a line with one endpoint that continues forever in only one direction is called a:

Solution: A ray has exactly 1 endpoint and goes on without end in one direction.
Question 2

Line Segment Definition

A straight path that connects two distinct endpoints is called a:

Solution: A line segment has 2 endpoints and a measurable length.
Question 3

Perpendicular Lines

Lines that cross or intersect to form square 90° right angles are called:

Solution: Perpendicular lines meet at exact 90-degree right angles.
Question 4

Parallel Lines Property

Which statement about parallel lines is always true?

Solution: Parallel lines stay the same distance apart and never intersect.
Question 5

Classifying Triangles

A triangle has angle measurements of 35°, 55°, and 90°. What type of triangle is it?

Solution: Any triangle with exactly one 90-degree right angle is a right triangle.
Question 6

Classifying Triangles

A triangle has angle measurements of 25°, 35°, and 120°. What type of triangle is it?

Solution: Because 120° is greater than 90°, it has an obtuse angle, making it an obtuse triangle.
Question 7

Classifying Quadrilaterals

A four-sided shape with exactly one pair of parallel sides is called a:

Solution: A trapezoid is a quadrilateral with exactly one pair of parallel opposite sides.
Question 8

Special Quadrilaterals

A quadrilateral with 4 equal sides AND 4 right angles is a:

Solution: A square is both a rectangle (4 right angles) and a rhombus (4 equal sides).
Question 9

Lines of Symmetry: Rectangle

How many lines of symmetry does a standard rectangle (not a square) have?

line(s) of symmetry.

Solution: 2 lines of symmetry (one horizontal down the middle, one vertical down the middle. Diagonals do NOT fold onto themselves).
Question 10

Lines of Symmetry: Square

How many lines of symmetry does a square have?

line(s) of symmetry.

Solution: 4 lines of symmetry (vertical, horizontal, and both corner-to-corner diagonals).
Question 11

Classifying Angles: Acute

An angle measures 48°. How is this angle classified?

Solution: 48° is less than 90°, so it is an acute angle.
Question 12

Classifying Angles: Obtuse

An angle measures 135°. How is this angle classified?

Solution: 135° is between 90° and 180°, so it is an obtuse angle.
Question 13

Reading a Protractor

An acute angle is placed on a protractor with one ray at 0°. The second ray passes through the 60° and 120° tick marks on the double scale. What is the actual angle measurement?

degrees.

Solution: 60 degrees. Since the angle is acute (< 90°), we choose the smaller scale value: 60°.
Question 14

Angle Addition

Two adjacent (side-by-side) angles measure 38° and 52°. What is their combined total measurement?

degrees.

Solution: 38° + 52° = 90 degrees (they combine to form a right angle).
Question 15

Right Angle Decomposition

A right angle (90°) is divided into two non-overlapping angles. One angle is 32°. What is the measurement of the missing angle?

degrees.

Solution: 90 − 32 = 58 degrees.
Question 16

Straight Angle Decomposition

A straight angle (180°) is split into three adjacent angles. Two of the angles measure 45° and 70°. What is the measurement of the third angle?

degrees.

Solution: 180 − (45 + 70) = 180 − 115 = 65 degrees.