Constructed-response questions

Parts II to IV are credited for the work you show: the steps, substitutions, constructions or proofs that lead to the answer, and an explanation when the question asks for one.

Part II	7 questions, 2 credits each
Part III	3 questions, 4 credits each
Part IV	1 question, 6 credits

Show the work

Write the formula or relationship you use, the substitution, and the answer with its units and the rounding the question asks for. A correct answer with no work shown may not earn full credit.

Proofs

A proof is a chain of statements, each with a reason: a given, a definition, a postulate or a theorem. End on exactly what the question asks you to prove, such as a congruence, a similarity or a property of a quadrilateral.

Practice here

Our constructed-response questions break each task into the steps a student shows. Type an answer for each step and it is checked; write an explanation or a proof and Mia reads it against its points.

Try 2 questions

Question 1Part I style

In the diagram,

\overline{BD} \perp \overline{AC}

and

\overline{AB} \cong \overline{CB}

. Which criterion proves that

\triangle ABD \cong \triangle CBD

Question 2Part I style

\triangle ABC

D

is on

\overline{AB}

and

E

is on

\overline{AC}

, with

\overline{DE} \parallel \overline{BC}

AD

= 4

DB

= 6

and

AE

= 10

. What is the length of

\overline{EC}

Next step

Take the free test Start the congruence lesson

Questions people ask

Are these past Regents questions?

No. Every question is written for this course, with its own figures and numbers.