Math  /  Geometry

Question3. QUILTING In the quilt design, assume that angles and segments that appear to be congruent are congruent. Indicate which triangles are congruent.
4. The vertices of SUV\triangle S U V and SUV\triangle S^{\prime} U^{\prime} V^{\prime} are S(0,4),U(0,0)S(0,4), U(0,0), V(2,2),S(0,4),U(0,0)V(2,2), S^{\prime}(0,-4), U^{\prime}(0,0), and V(2,2)V^{\prime}(-2,-2). Verify that the triangles are congruent and then name the congruence transformation.
5. The vertices of QRT\triangle Q R T and QRT\triangle Q^{\prime} R^{\prime} T^{\prime} are Q(4,3),Q(4,3),R(4,2)Q(-4,3), Q^{\prime}(4,3), R(-4,-2), R(4,2),T(1,2)R^{\prime}(4,-2), T(-1,-2), and T(1,2)T^{\prime}(1,-2). Verify that QRTQRT\triangle Q R T \cong \triangle Q^{\prime} R^{\prime} T^{\prime}. Then name the congruence transformation.

Studdy Solution
Determine the congruence transformation for QRT\triangle QRT and QRT\triangle Q'R'T':
- The transformation is a reflection over the y-axis, as the x-coordinates of the vertices are negated.

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