(03.02 MC) Decide whether the triangles are similar. If so, determine the appropriate expression to solve for x.

(02.04 LC) In ΔCAB, if the measure of is 8 units and the measure of segment is 5 units, which of the following could be the measure of segment ?

(02.06 MC) The figure below shows a quadrilateral ABCD. Sides AB and DC are congruent and parallel: A student wrote the following sentences to prove that quadrilateral ABCD is a parallelogram: Side AB is parallel to side DC, so the alternate interior angles, angle ABD and angle CDB, are congruent. Side AB is equal to side DC, and DB is the side common to triangles ABD and BCD. Therefore, the triangles ABD and CDB are congruent by SSS postulate. By CPCTC, angles DBC and BDA are congruent and sides AD and BC are congruent. Angle DBC and angle BDA form a pair of alternate interior angles. Therefore, AD is congruent and parallel to BC. Quadrilateral ABCD is a parallelogram because its opposite sides are equal and parallel. Which statement best describes a flaw in the student’s proof?

(01.06 LC) Angles BAE and FAC are straight angles. What angle relationship best describes angles BAC and EAC?

(02.04 MC) Triangle ABC is a right triangle. Point D is the midpoint of side AB, and point E is the midpoint of side AC. The measure of angle ADE is 68°. The following flowchart with missing statements and reasons proves that the measure of angle ECB is 22°: Which statement and reason can be used to fill in the numbered blank spaces?

(02.02 MC) Figure EFGH on the grid below represents a trapezoidal plate at its starting position on a rotating machine platform: The plate is rotated 360° about the origin in the clockwise direction. Which of the following is formed when the arcs of rotation are drawn for each point as it is rotated?

(02.01 HC) Triangle END is reflected across the line y = x using the rule (x, y) → (y, x) to create triangle E′N′D′. If a line segment is drawn from point E to point E′, which statement would best describe the line segment drawn in relation to the line y = x?

(03.05 MC) Jolene is creating a model of a pyramid. The model created will need to be scaled up from the blueprint. If segments DE and AB are parallel, which of the following expressions will help Jolene determine the length of segment AC?

(01.07 MC) Janet is designing a frame for a client. She wants to prove to her client that m∠1 = m∠3 in her sketch. What is the missing justification in the proof?   Statement Justification Segment CD intersects segment AB Given ∠1 + ∠ 2 = 180°∠ 2 + ∠3 = 180°   ∠1 + ∠ 2 = ∠ 2 + ∠3 Transitive Property ∠1 = ∠3 Subtraction Property

(03.05, 03.06 MC) Look at the figure shown below: Nora is writing statements as shown below to prove that if segment ST is parallel to segment RQ, then x = 45:   Statement Reason 1. Segment ST is parallel to segment RQ. Given 2. Angle QRS is congruent to angle TSP. Corresponding angles formed by parallel lines and their transversal are congruent. 3. Angle SPT is congruent to angle RPQ. Reflexive property of angles 4. Triangle SPT is similar to triangle RPQ. Angle-Angle Similarity Postulate 5. ? Corresponding sides of similar triangles are in proportion. Which equation can she use as statement 5?