SEMESTER EXAM REVIEW.

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Presentation transcript:

SEMESTER EXAM REVIEW

The foundations of any Euclidean Geometry, at their most basic, exist on the principal concepts of which of the following? Undefined Terms Theorems Postulates Assumptions

Lines that intersect to form right angles are called ___ lines. Perpendicular skew parallel intersecting

Which is not an UNDEFINED TERM? SPACE POINT LINE PlANe

Point T is located at the origin. Point Z is located at (16, 0) Point T is located at the origin. Point Z is located at (16, 0). Point X is the midpoint of segment TZ. Point W is the midpoint of segment XZ. Find the following distance: TZ – XT

BD = x + 2 BC = 6x – 4 Find the length DC. B lies between A and C, and is the midpoint of segment AC. D is the midpoint of segment BC. BD = x + 2 BC = 6x – 4 Find the length DC.

Let D be in the interior of <ABC. Find the value of x. <ABD = 4x + 5 <DBC = x – 10 <ABC = 70

Ernesto wants to draw a graph to help him understand the distance between L and M. The distance formula shows the distance (7− −5 ) 2 + (2− −3 ) 2 . Plot points L and M on the graph.

What is the distance from the school to the gas station?

What are the coordinates of the other endpoint? The midpoint of AB is located at the origin, and one endpoint of this segment has coordinates of (12, 8). What are the coordinates of the other endpoint?

Name the slopes. C A B D

Points P (3,2), Q (1,6), and R (5, 4) define triangle PQR when placed on a coordinate grid. What is the length of PR?

Which Theorems are Congruent and which are supplementary? Alternate Exterior Alternate Interior Corresponding Same Side Exterior Same Side Interior

TRANSFORMATIONS REFLECTION ROTATION TRANSLATION DILATION SYMMETRY TESSELLATIONS

PARALLEL OR PERPENDICULAR SLOPE PARALLEL PERPENDICULAR

FIND X.

If AB ≅ CB, then find the length of AC.

What is the slope of the altitude from Vertex R to segment TS?

What can you conclude about the triangle, from the picture below. S A C T