Geometry Review Questions PDF
Document Details
Tags
Summary
This document contains geometry review questions, covering topics like triangle congruence postulates, theorems, and properties of equality. It includes example problems and exercises.
Full Transcript
What to review? 1. Triangle Congruence Postulate/Theorem 2. Corresponding Parts of Congruent Triangles 3. Proving Triangle Congruence 4. Definitions, Postulates, Theorems a. Axiom/Property of Equality (Commutative, Associative, etc.) b. Postulates on angles c. Theorem...
What to review? 1. Triangle Congruence Postulate/Theorem 2. Corresponding Parts of Congruent Triangles 3. Proving Triangle Congruence 4. Definitions, Postulates, Theorems a. Axiom/Property of Equality (Commutative, Associative, etc.) b. Postulates on angles c. Theorems i. Vertical angle ii. Perpendicular bisector iii. Triangle congruence iv. Right angle d. Definitions i. Perpendicular bisector ii. Segment bisector iii. Midpoint iv. Right angle v. Right triangle vi. Perpendicular lines Review Questions 1. It is a mathematical statement accepted as true without any proof. A. postulate C. theorem B. definition D. Law For items 2-3, refer to the given statements below. 4x+5=33 (1) 4x=28 (2) x=7 (3) 2. Which property of equality justifies step (3) in the given solution? A. Addition Property C. Multiplication Property B. Distributive Property D. Substitution Property 3. Which property justifies statement (2) in the given solution? A. Addition Property of Equality C. Substitution Property of Equality B. Multiplication Property of Equality D. Transitive Property of Equality 4. Given that ΔCAT ≅ ΔDOG, which of the following congruence statements is NOT true? A. ∠A ≅ ∠O C. CA ≅ OG B. ∠C ≅ ∠D D. CT ≅ DG 5. Which triangles are congruent if ∠M ≅ ∠H, ∠A ≅ ∠A, ∠T ≅ ∠S, MA ≅ HA, AT ≅ AS, TM ≅ SH? A. ΔΑΜΤ ≅ ΔHAS C. ΔΜΑΤ ≅ ΔHAS B. ΔΜΑΤ ≅ ΔASΗ D. ΔΤΑΜ ≅ ΔASΗ Identify the theorem or postulate that will support the congruency of the 2 triangles. Find the values of the missing variable, the angle and side measure. 1. 2. 3. 4. Complete the table by identifying the missing statement or reason. Given: AE and BD bisect each other at C. Prove: AB ≅ DE Statements Reasons 1. 1. Given 2. 2. Definition of segment bisector 3. ∠ACB ≅ ∠ECD 3. 4. ΔACB ≅ ΔECD 4. 5. AB ≅ DE 5.
