How to get better at top-front-end on the DAT

Updated October 29, 2026

Top-Front-End (TFE), officially called View Recognition, shows two of an object's three views and asks you to pick the missing one from four drawings.

It feels like you need to rebuild the object in your head every time, but you usually don't. Most TFE questions can be solved by lining the views up and checking a few lines, especially once you notice that the options usually differ in only one place.

Questions
15, the second subtest of the PAT
Answer choices
4 drawings
Time to aim for
About 45 seconds each
What it tests
Reading orthographic (engineering) drawings
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The method, step by step

  1. 1

    Know where each view sits

    The DAT uses third-angle projection. The top view sits above the front view, and the end view, which looks at the object from the right, sits to the right of the front view.

  2. 2

    Line up the shared dimensions

    The top and front views share width, so their vertical lines line up. The front and end views share height, so their horizontal lines line up. The top and end views share depth. Every line in the missing view has to line up with something in the views you're given.

  3. 3

    Find what differs between the options

    Before thinking about the object, compare the four options with each other. They are usually identical except for one or two lines: one is missing, solid instead of dashed, or shifted. Now you only need to answer that one question.

  4. 4

    Decide that one line from the given views

    Find the feature in the given views that would create the line in question. Ask whether it exists, where it lines up, and whether anything sits in front of it from the missing view's direction.

  5. 5

    Solid or dashed

    An edge is drawn solid if you can see it from that direction, and dashed if part of the object sits in front of it. For the end view, picture looking from the right: anything on the left side, behind other material, becomes dashed.

Try one

A real medium-difficulty question from PAT Grind. Use the method above, then check the worked explanation.

Top-Front-End tips and tricks

Slanted surfaces leave a fingerprint

A slanted face appears edge-on as a diagonal line in exactly one view, and as a flat area bounded by lines in the other two. If an option shows a diagonal where the given views don't support one, cross it off.

Count the lines

A quick count of interior lines often decides between two options. Every change in height, width or depth makes a line somewhere, so a view with a missing line usually has a missing feature.

Watch for the mirror trap

One distractor is often the correct view flipped left to right, which is what you'd see from the left side. Check one asymmetric feature to make sure it's on the correct side.

Sketch when it's tricky

A ten-second sketch of the object on your noteboard beats a minute of staring. Number the corners if you have to.

Start with the outline

The outer boundary of the missing view usually comes straight from the given views: width from one, height or depth from the other. Options with the wrong outline are free eliminations.

Common mistakes and how to fix them

Mixing up the end view's left and right
The end view looks from the right. Check one asymmetric feature on every question.
Solid versus dashed confusion
Ask whether anything sits between your eye and the edge. If so, it's dashed.
Rebuilding the object from scratch every time
Find the difference between the options first, then answer only that.
Ignoring a hidden line in a given view
Dashed lines in the given views describe hidden features, like a slot at the back. They are often the key to the question.

A two-week plan to improve

Days 1 to 3: learn to read the views

Do 15 top-front-end practice questions a day, untimed. For each one, find the difference between the options before choosing. PAT Grind's 3D model lets you rotate the object in the explanation to check what you pictured.

Days 4 to 7: hidden lines and slants

Keep going in adaptive mode. Whenever you miss one, write down whether it was solid versus dashed, a mirror image, or a missing line. Most students have one dominant error.

Days 8 to 14: speed

Move to sprint sessions at 40 seconds per question. The goal is to find the deciding line within 15 seconds.

Measure it

Take a check-up now and again in two weeks to see your top-front-end score change.

Pacing on test day

Budget about 12 minutes for the 15 questions. Questions where the options differ by a single dashed line are fast. Bank that time for the ones that need a sketch.

Questions

What projection does the DAT use for top-front-end?

Third-angle projection: the top view above the front view, and the end view (from the right) to the right of the front view.

What do dashed lines mean in TFE?

Dashed lines are edges hidden behind other parts of the object from that viewing direction. Solid lines are edges you can see.

Are PAT Grind's TFE answers definitely right?

Every wrong option in PAT Grind's top-front-end questions is checked by a logic solver, which proves that no object could match the two given views and that wrong view. So there's never a second defensible answer.

See where you stand

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More PAT guides

PAT Grind is an independent study tool. It is not affiliated with or endorsed by the American Dental Association, which administers the Dental Admission Test (DAT).