3rd 9 weeks Exam Review

Which term is defined as two intersecting lines that form four right angles in a plane?

Triangle ABC lies on the coordinate plane with vertices located at A (2, −3), B (2, 5), C (−4, 0). The triangle is transformed using the rule (x, y) → (x − 3, 2y) to create triangle A'B'C'. Determine the coordinates of A'B'C'.​ (a)   ​ (b)   ​ (c)  

• A'(-1, -6)
• B'(-1, 10)
• C'(-7, 0)
• A'(1, 6)
• B' (-1, 5/2)
• C' (1, 0)

This shape will reflect onto itself over the red line.

• True

• False

Rhombus PQRS is shown on the coordinate plane. Points M and N are midpoints of their respective sides. Select all of the transformations that WILL NOT map the rhombus onto itself.

• a rotation 90° about the center of the rhombus

• a rotation 180° about the center of the rhombus

• a reflection across PR

• a reflection across NM

• a reflection across QS

Point A is located at (2,2). Point A is translated 3 units up, then reflected over the y-axis. Use the graph to draw the image of Point A after the sequence of transformations.

Answer explanation

From (2,2) moving up 3 units lands at (5,2). Over the y-axis is the vertical axis and the point would be equal distance from it's current location, landing on (-2, 5) in Quad II.

Tags

CCSS.8.G.A.3

ΔMNO is transformed to produce ΔPQR. Select all of the transformations that WILL NOT produce CONGRUENT triangles.

• a dilation, then a translation

• a reflection, then a dilation

• a reflection, then a rotation

• a rotation, then a translation

• a translation, then a reflection

What is the slope of the line that is perpendicular to the graph of y = 2/3x - 8?

(Hint: try using Desmos if you don't know)