{"id":"cb_practice_pdf:t10-math-m1-q9","source_id":"cb_practice_pdf","source_item_id":"t10-math-m1-q9","external_id":null,"ibn":null,"question_id":null,"program":"SAT","module":"math","domain_code":null,"domain":null,"skill_code":null,"skill":null,"difficulty":null,"score_band":null,"answer_type":"mcq","answer_source":"rationale","layout_warning":"Part of this question was typeset outside the text flow — a fraction, subscript or similar — and PDF extraction re-inserted it in the wrong place. The wording is reliable; the symbols may be out of order.","form_id":"cb_practice_pdf:test-10","module_number":1,"position":9,"stem":"ABC DEF Triangles and are congruent, where A corresponds to D, and B and E are right angles. The 18° measure of angle A is. What is the measure of angle F? 18°","stimulus":"","stimulus_html":null,"stem_html":"<p>ABC DEF Triangles and are congruent, where A corresponds to D, and B and E are right angles. The 18° measure of angle A is. What is the measure of angle F? 18°</p>","rationale_html":"<p>Choice B is correct. It’s given that triangle ABC is congruent to triangle DEF. Corresponding angles of congruent triangles are congruent and, therefore, have equal measure. It’s given that angle A corresponds to angle D, and that the 18° measure of angle A is . It’s also given that the measures of angles B and E are 90° . Since these angles have equal measure, they are corresponding angles. It follows that angle C corresponds to angle F. Let x° represent the measure of 180° angle C. Since the sum of the measures of the interior angles of a triangle is , 18°+90°+ °=180° 108°+ °=180° 108° it follows that x , or x . Subtracting from °=72° both sides of this equation yields x . Therefore, the measure of angle C is 72° . Since angle C corresponds to angle F, it follows that the measure of angle F 72° is also . Choice A is incorrect. This is the measure of angle D, not the measure of angle F. Choice C is incorrect. This is the measure of angle E, not the measure of angle F. Choice D is incorrect. This is the sum of the measures of angles E and F, not the measure of angle F.</p>","correct_answer":["B"],"has_media":false,"has_mathml":false,"has_table":false,"source_created_at":null,"source_updated_at":null,"options":[{"label":"A","content_html":"","ord":0},{"label":"B","content_html":"<p>72°</p>","ord":1},{"label":"C","content_html":"<p>90° 162°</p>","ord":2},{"label":"D","content_html":"","ord":3}],"attribution":{"source_id":"cb_practice_pdf","source_name":"College Board full-length SAT practice tests (PDF)","rights_holder":"College Board","canonical_url":"https://satsuite.collegeboard.org/practice/practice-tests/paper","retrieved_from":"https://satsuite.collegeboard.org/practice/practice-tests/paper","attribution":"Full-length SAT practice tests 4–11 © College Board, published free at satsuite.collegeboard.org.","disclaimer":"Extracted from PDF layout: equations, figures and tables do not survive intact. Use the original PDFs for anything the text renders poorly. SAT® is a trademark registered by the College Board, which is not affiliated with and does not endorse this project.","license":"College Board copyright. Free to download; not licensed for redistribution.","redistributable":false,"item_count":905}}