Cumulative Exam — Cumulative exam Answers

The image of trapezoid PQRS after a reflection across is trapezoid P'Q'R'S'.

Which congruence theorem can be used to prove △BDA ≅ △BDC?

Which biconditional statement is true?

Let p: x 3What is represented by p ∨ q?

Triangle K M L is shown. Line L K extends through point J to form exterior angle J K M.

Which conjunction about whole numbers is true?

A pentagon is transformed according to the rule R0, 180°. Which is another way to state the transformation?

Parallelogram ABCD is rotated to create image A'B'C'D'.

Figure ABCD was reflected across the x-axis to create figure A'B'C'D'.

Given: Lines y and z are parallel, and ABC forms a triangle.Prove: m∠5 + m∠2 + m∠6 = 180° Statements Reasons1.ABC is a triangle1.given2.y ∥ z2.given3.∠1 ≅ ∠5; ∠3 ≅ ∠63.?4.m∠1 = m∠5; m∠3 = m∠64.def. ≅5.m∠1 + m∠2 + m∠3 = m∠LAM5.∠ addition postulate6.m∠1 + m∠2 + m∠3 = 180°6.def. straight angle7.m∠5 + m∠2 + m∠6 = 180°7.substitutionWhich could be the missing reason in Step 3?

Let p: A car has automatic windows.Let q: A car has automatic seats.

Triangle A B F is shown. Line B F is extended through point G. Line F A is extended through point C. A line is drawn from point A to point D. A line is drawn from point F to point E.

Which statements must be true about the reflection of ΔXYZ across ? Select three options.

The diagram represents two statements: p and q.

Line segments AD and BE intersect at C, and triangles ABC and DEC are formed. They have the following characteristics: ∠ACB and ∠DCE are vertical angles∠B ≅ ∠EBC ≅ EC

Let p ↔ q represent the statement "He is wearing a coat if and only if the temperature is below 30°F.”Which represents p ∧ q?

Complete the paragraph proof.Given: and are right anglesProve: bisects

Given: bisects ∠BAC; AB = AC

The coordinate plane is separated into four quadrants as shown.

Let p: x = 4Let q: y = −2Which represents "If x = 4, then y = −2”?